# Gerard 't Hooft

**Gerardus** (**Gerard**) '**t Hooft** (Dutch: [ˈɣeːrɑrt ət ˈɦoːft]; born July 5, 1946) is a Dutch theoretical physicist and professor at Utrecht University, the Netherlands. He shared the 1999 Nobel Prize in Physics with his thesis advisor Martinus J. G. Veltman "for elucidating the quantum structure of electroweak interactions".

Gerard 't Hooft | |
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November 2008 | |

Born | Den Helder, Netherlands | July 5, 1946

Nationality | Dutch |

Alma mater | Utrecht University |

Known for | Quantum field theory, Quantum gravity, 't Hooft–Polyakov monopole, 't Hooft symbol, 't Hooft operator, Holographic principle, Renormalization, Dimensional regularization |

Awards | Heineman Prize (1979) Wolf Prize (1981) Lorentz Medal (1986) Spinoza Prize (1995) Franklin Medal (1995) Nobel Prize in Physics (1999) Lomonosov Gold Medal (2010) |

Scientific career | |

Fields | Theoretical physics |

Institutions | Utrecht University |

Doctoral advisor | Martinus J. G. Veltman |

Doctoral students | Robbert Dijkgraaf Herman Verlinde |

Standard Model of particle physics |
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Scientists Rutherford · Thomson · Chadwick · Bose · Sudarshan · Koshiba · Davis Jr. · Anderson · Fermi · Dirac · Feynman · Rubbia · Gell-Mann · Kendall · Taylor · Friedman · Powell · P. W. Anderson · Glashow · Iliopoulos · Maiani · Meer · Cowan · Nambu · Chamberlain · Cabibbo · Schwartz · Perl · Majorana · Weinberg · Lee · Ward · Salam · Kobayashi · Maskawa · Yang · Yukawa · 't Hooft · Veltman · Gross · Politzer · Wilczek · Cronin · Fitch · Vleck · Higgs · Englert · Brout · Hagen · Guralnik · Kibble · Ting · Richter |

His work concentrates on gauge theory, black holes, quantum gravity and fundamental aspects of quantum mechanics. His contributions to physics include a proof that gauge theories are renormalizable, dimensional regularization and the holographic principle.

## Personal life

He is married to Albertha Schik (Betteke) and has two daughters, Saskia and Ellen.

## Biography

### Early life

Gerard 't Hooft was born in Den Helder on July 5, 1946, but grew up in The Hague. He was the middle child of a family of three. He comes from a family of scholars. His grandmother was a sister of Nobel prize laureate Frits Zernike, and was married to Pieter Nicolaas van Kampen, who was a well-known professor of zoology at Leiden University. His uncle Nico van Kampen was an (emeritus) professor of theoretical physics at Utrecht University, and while his mother did not opt for a scientific career because of her gender,[1] she did marry a maritime engineer.[1] Following his family's footsteps, he showed interest in science at an early age. When his primary school teacher asked him what he wanted to be when he grew up, he boldly declared, "a man who knows everything."[1]

After primary school Gerard attended the Dalton Lyceum, a school that applied the ideas of the Dalton Plan, an educational method that suited him well. He easily passed his science and mathematics courses, but struggled with his language courses. Nonetheless, he passed his classes in English, French, German, classical Greek and Latin. At the age of sixteen he earned a silver medal in the second Dutch Math Olympiad. [1]

### Education

After Gerard 't Hooft passed his high school exams in 1964, he enrolled in the physics program at Utrecht University. He opted for Utrecht instead of the much closer Leiden, because his uncle was a professor there and he wanted to attend his lectures. Because he was so focused on science, his father insisted that he join the Utrechtsch Studenten Corps, a student association, in the hope that he would do something else besides studying. This worked to some extent, during his studies he was a coxswain with their rowing club "Triton" and organized a national congress for science students with their science discussion club "Christiaan Huygens".

In the course of his studies he decided he wanted to go into what he perceived as the heart of theoretical physics, elementary particles. His uncle had grown to dislike the subject and in particular its practitioners, so when it became time to write his 'doctoraalscriptie' (Dutch equivalent of a master's thesis) in 1968, 't Hooft turned to the newly appointed professor Martinus Veltman, who specialized in Yang–Mills theory, a relatively fringe subject at the time because it was thought that these could not be renormalized. His assignment was to study the Adler–Bell–Jackiw anomaly, a mismatch in the theory of the decay of neutral pions; formal arguments forbid the decay into photons, whereas practical calculations and experiments showed that this was the primary form of decay. The resolution of the problem was completely unknown at the time, and 't Hooft was unable to provide one.

In 1969, 't Hooft started on his doctoral research with Martinus Veltman as his advisor. He would work on the same subject Veltman was working on, the renormalization of Yang–Mills theories. In 1971 his first paper was published.[2] In it he showed how to renormalize massless Yang–Mills fields, and was able to derive relations between amplitudes, which would be generalized by Andrei Slavnov and John C. Taylor, and become known as the Slavnov–Taylor identities.

The world took little notice, but Veltman was excited because he saw that the problem he had been working on was solved. A period of intense collaboration followed in which they developed the technique of dimensional regularization. Soon 't Hooft's second paper was ready to be published,[3] in which he showed that Yang–Mills theories with massive fields due to spontaneous symmetry breaking could be renormalized. This paper earned them worldwide recognition, and would ultimately earn the pair the 1999 Nobel Prize in Physics.

These two papers formed the basis of 't Hooft's dissertation, *The Renormalization procedure for Yang–Mills Fields*, and he obtained his PhD degree in 1972. In the same year he married his wife, Albertha A. Schik, a student of medicine in Utrecht.[1]

### Career

After obtaining his doctorate 't Hooft went to CERN in Geneva, where he had a fellowship. He further refined his methods for Yang–Mills theories with Veltman (who went back to Geneva). In this time he became interested in the possibility that the strong interaction could be described as a massless Yang–Mills theory, i.e. one of a type that he had just proved to be renormalizable and hence be susceptible to detailed calculation and comparison with experiment.

According to 't Hooft's calculations, this type of theory possessed just the right kind of scaling properties (asymptotic freedom) that this theory should have according to deep inelastic scattering experiments. This was contrary to popular perception of Yang–Mills theories at the time, that like gravitation and electrodynamics, their intensity should decrease with increasing distance between the interacting particles; such conventional behaviour with distance was unable to explain the results of deep inelastic scattering, whereas 't Hooft's calculations could.

When 't Hooft mentioned his results at a small conference at Marseilles in 1972, Kurt Symanzik urged him to publish this result;[1] but 't Hooft did not, and the result was eventually rediscovered and published by Hugh David Politzer, David Gross, and Frank Wilczek in 1973, which led to their earning the 2004 Nobel Prize in Physics.[4][5]

In 1974, 't Hooft returned to Utrecht where he became assistant professor. In 1976, he was invited for a guest position at Stanford and a position at Harvard as Morris Loeb lecturer. His eldest daughter, Saskia Anne, was born in Boston, while his second daughter, Ellen Marga, was born in 1978 after he returned to Utrecht, where he was made full professor.[1] In the academic year 1987-1988 't Hooft spent a sabbatical in the Boston University Physics Department along with Howard Georgi, Robert Jaffe and others arranged by the then new Department chair Lawrence Sulak.

In 2007 't Hooft became editor-in-chief for *Foundations of Physics*, where he sought to distance the journal from the controversy of ECE theory.[6] 't Hooft held the position until 2016.

On July 1, 2011 he was appointed Distinguished professor by Utrecht University.[7]

## Honors

In 1999 't Hooft shared the Nobel prize in Physics with his thesis adviser Veltman for "elucidating the quantum structure of the electroweak interactions in physics".[8] Before that time his work had already been recognized by other notable awards. In 1981, he was awarded the Wolf Prize,[9] possibly the most prestigious prize in physics after the Nobel prize. Five years later he received the Lorentz Medal, awarded every four years in recognition of the most important contributions in theoretical physics.[10] In 1995, he was one of the first recipients of the Spinozapremie, the highest award available to scientists in the Netherlands.[11] In the same year he was also honoured with a Franklin Medal.[12]

Since his Nobel Prize, 't Hooft has received a slew of awards, honorary doctorates and honorary professorships.[13] He was knighted commander in the Order of the Netherlands Lion, and officer in the French Legion of Honor. The asteroid 9491 Thooft has been named in his honor,[14] and he has written a constitution for its future inhabitants.[15]

He is a member of the Royal Netherlands Academy of Arts and Sciences (KNAW) since 1982,[16] where he was made academy professor in 2003.[17] He is also a foreign member of many other science academies, including the French Académie des Sciences, the American National Academy of Sciences and American Academy of Arts and Sciences and the Britain and Ireland based Institute of Physics.[13]

## Research

't Hooft's research interest can be divided in three main directions: 'gauge theories in elementary particle physics', 'quantum gravity and black holes', and 'foundational aspects of quantum mechanics'.[18]

### Gauge theories in elementary particle physics

't Hooft is most famous for his contributions to the development of gauge theories in particle physics. The best known of these is the proof in his PhD thesis that Yang–Mills theories are renormalizable, for which he shared the 1999 Nobel Prize in Physics. For this proof he introduced (with his adviser Veltman) the technique of dimensional regularization.

After his PhD, he became interested in the role of gauge theories in the strong interaction,[1] the leading theory of which is called quantum chromodynamics or QCD. Much of his research focused on the problem of color confinement in QCD, i.e. the observational fact that only color neutral particles are observed at low energies. This led him to the discovery that SU(N) gauge theories simplify in the large *N* limit,[19] a fact which has proved important in the examination of the conjectured correspondence between string theories in an Anti-de Sitter space and conformal field theories in one lower dimension. By solving the theory in one space and one time dimension, 't Hooft was able to derive a formula for the masses of mesons.[20]

He also studied the role of so-called instanton contributions in QCD. His calculation showed that these contributions lead to an interaction between light quarks at low energies not present in the normal theory.[21] Studying instanton solutions of Yang–Mills theories, 't Hooft discovered that spontaneously breaking a theory with SU(N) symmetry to a U(1) symmetry will lead to the existence of magnetic monopoles.[22] These monopoles are called 't Hooft–Polyakov monopoles, after Alexander Polyakov, who independently obtained the same result.[23]

As another piece in the color confinement puzzle 't Hooft introduced 't Hooft operators, which are the magnetic dual of Wilson loops.[24] Using these operators he was able to classify different phases of QCD, which form the basis of the QCD phase diagram.

In 1986, he was finally able to show that instanton contributions solve the Adler–Bell–Jackiw anomaly, the topic of his master's thesis.[25]

### Quantum gravity and black holes

When Veltman and 't Hooft moved to CERN after 't Hooft obtained his PhD, Veltman's attention was drawn to the possibility of using their dimensional regularization techniques to the problem of quantizing gravity. Although it was known that perturbative quantum gravity was not completely renormalizible, they felt important lessons were to be learned by studying the formal renormalization of the theory order by order. This work would be continued by Stanley Deser and another PhD student of Veltman, Peter van Nieuwenhuizen, who later found patterns in the renormalization counter terms, which led to the discovery of supergravity.[1]

In the 1980s, 't Hooft's attention was drawn to the subject of gravity in 3 spacetime dimensions. Together with Deser and Jackiw he published an article in 1984 describing the dynamics of flat space where the only local degrees of freedom were propagating point defects.[26] His attention returned to this model at various points in time, showing that Gott pairs would not cause causality violating timelike loops,[27] and showing how the model could be quantized.[28] More recently he proposed generalizing this piecewise flat model of gravity to 4 spacetime dimensions.[29]

With Stephen Hawking's discovery of Hawking radiation of black holes, it appeared that the evaporation of these objects violated a fundamental property of quantum mechanics, unitarity. 'T Hooft refused to accept this problem, known as the black hole information paradox, and assumed that this must be the result of the semi-classical treatment of Hawking, and that it should not appear in a full theory of quantum gravity. He proposed that it might be possible to study some of the properties of such a theory, by assuming that such a theory was unitary.

Using this approach he has argued that near a black hole, quantum fields could be described by a theory in a lower dimension.[30] This led to the introduction of the holographic principle by him and Leonard Susskind.[31]

### Fundamental aspects of quantum mechanics

't Hooft has "deviating views on the physical interpretation of quantum theory".[18] He believes that there could be a deterministic explanation underlying quantum mechanics.[32] Using a speculative model he has argued that such a theory could avoid the usual Bell inequality arguments that would disallow such a local hidden variable theory.[33] In 2016 he published a book length exposition of his ideas[34] which, according to 't Hooft, has encountered mixed reactions.[35]

## Popular publications

*Playing With Planets*, Oct 30, 2008, doi:10.1142/6702*In Search of the Ultimate Building Blocks*, Nov 28, 1996, doi:10.1017/CBO9781107340855*Time in Powers of Ten. Natural Phenomena and Their Timescales*. May 19, 2014, doi:10.1142/8786

## See also

- Anomaly matching condition
- Feynman–'t Hooft gauge
- Minimal subtraction scheme
- Naturalness (physics)
- Renormalon
- 't Hooft symbol
- Mars One (Gerard 't Hooft is a main supporter of the project)

## References

- 't Hooft, G. (1999). "Gerardus 't Hooft — Autobiography". Nobel web. Retrieved 2010-10-06.
- 't Hooft, G. . (1971). "Renormalization of massless Yang-Mills fields".
*Nuclear Physics B*.**33**(1): 173–177. Bibcode:1971NuPhB..33..173T. doi:10.1016/0550-3213(71)90395-6. - 't Hooft, G. . (1971). "Renormalizable Lagrangians for massive Yang-Mills fields".
*Nuclear Physics B*.**35**(1): 167–188. Bibcode:1971NuPhB..35..167T. doi:10.1016/0550-3213(71)90139-8. hdl:1874/4733. - "The Nobel Prize in Physics 2004". Nobel Web. 2004. Retrieved 2010-10-24.
- Politzer, H. David (2004). "The Dilemma of Attribution" (PDF). Nobel Web. Retrieved 2010-10-24.
- ’t Hooft, Gerard (2007). "Editorial note".
*Foundations of Physics*.**38**(1): 1–2. Bibcode:2008FoPh...38....1T. doi:10.1007/s10701-007-9187-8. ISSN 0015-9018. - "Prof. dr. Gerard 't Hooft has been appointed Distinguished Professor". Utrecht University. Archived from the original on 2012-04-14. Retrieved 2012-04-19.
- "The Nobel Prize in Physics 1999". Nobel web.
- "The 1981 Wolf Foundation Prize in Physics". Wolf Foundation. Archived from the original on 2011-09-27.
- "Lorentz medal". Leiden University.
- "NWO Spinoza Prize 1995". Netherlands Organisation for Scientific Research. 3 September 2014. Retrieved 2016-01-30.
- "Franklin Laureate Database". The Franklin Institute. Archived from the original on 2010-06-01.
- "Curriculum Vitae Gerard 't Hooft". G. 't Hooft.
- "JPL Small-Body Database Browser". NASA.
- "9491 THOOFT — Constitution and Bylaws". G. 't Hooft.
- "Gerard 't Hooft". Royal Netherlands Academy of Arts and Sciences. Retrieved 2015-07-17.
- "Academy Professorships Programme - 2003". Royal Netherlands Academy of Arts and Sciences. Archived from the original on 2010-11-24.
- 't Hooft, G. "Gerard 't Hooft". Retrieved 2010-10-24.
- 't Hooft, G. (1974). "A planar diagram theory for strong interactions".
*Nuclear Physics B*.**72**(3): 461–470. Bibcode:1974NuPhB..72..461T. doi:10.1016/0550-3213(74)90154-0. - 't Hooft, G. (1974). "A two-dimensional model for mesons".
*Nuclear Physics B*.**75**(3): 461–863. Bibcode:1974NuPhB..75..461T. doi:10.1016/0550-3213(74)90088-1. - 't Hooft, G. (1976). "Computation of the quantum effects due to a four-dimensional pseudoparticle".
*Physical Review D*.**14**(12): 3432–3450. Bibcode:1976PhRvD..14.3432T. doi:10.1103/PhysRevD.14.3432. - 't Hooft, G. (1974). "Magnetic monopoles in unified gauge theories".
*Nuclear Physics B*.**79**(2): 276–284. Bibcode:1974NuPhB..79..276T. doi:10.1016/0550-3213(74)90486-6. hdl:1874/4686. - Polyakov, A.M. (1974). "Particle spectrum in quantum field theory".
*Journal of Experimental and Theoretical Physics Letters*.**20**: 194. Bibcode:1974JETPL..20..194P. - 't Hooft, G. (1978). "On the phase transition towards permanent quark confinement".
*Nuclear Physics B*.**138**(1): 1–2. Bibcode:1978NuPhB.138....1T. doi:10.1016/0550-3213(78)90153-0. - 't Hooft, G. (1986). "How instantons solve the U(1) problem".
*Physics Reports*.**142**(6): 357–712. Bibcode:1986PhR...142..357T. doi:10.1016/0370-1573(86)90117-1. - Deser, S.; Jackiw, R.; 't Hooft, G. (1984). "Three-dimensional Einstein gravity: Dynamics of flat space".
*Annals of Physics*.**152**(1): 220. Bibcode:1984AnPhy.152..220D. doi:10.1016/0003-4916(84)90085-X. hdl:1874/4772. - 't Hooft, G. (1992). "Causality in (2+1)-dimensional gravity".
*Classical and Quantum Gravity*.**9**(5): 1335–1348. Bibcode:1992CQGra...9.1335T. doi:10.1088/0264-9381/9/5/015. hdl:1874/4627. - 't Hooft, G. (1993). "Canonical quantization of gravitating point particles in 2+1 dimensions".
*Classical and Quantum Gravity*.**10**(8): 1653–1664. arXiv:gr-qc/9305008. Bibcode:1993CQGra..10.1653T. doi:10.1088/0264-9381/10/8/022. - 't Hooft, G. (2008). "A Locally Finite Model for Gravity".
*Foundations of Physics*.**38**(8): 733–757. arXiv:0804.0328. Bibcode:2008FoPh...38..733T. doi:10.1007/s10701-008-9231-3. - Stephens, C. R.; 't Hooft, G.; Whiting, B. F. (1994). "Black hole evaporation without information loss".
*Classical and Quantum Gravity*.**11**(3): 621–648. arXiv:gr-qc/9310006. Bibcode:1994CQGra..11..621S. doi:10.1088/0264-9381/11/3/014. - Susskind, L. (1995). "The world as a hologram".
*Journal of Mathematical Physics*.**36**(11): 6377–6396. arXiv:hep-th/9409089. Bibcode:1995JMP....36.6377S. doi:10.1063/1.531249. - 't Hooft, G. (2007). "A mathematical theory for deterministic quantum mechanics".
*Journal of Physics: Conference Series*.**67**(1): 012015. arXiv:quant-ph/0604008. Bibcode:2007JPhCS..67a2015T. doi:10.1088/1742-6596/67/1/012015. - Gerard 't Hooft (2009). "Entangled quantum states in a local deterministic theory". arXiv:0908.3408 [quant-ph].
- Gerard 't Hooft, 2016,
*The Cellular Automaton Interpretation of Quantum Mechanics*, Springer International Publishing, DOI 10.1007/978-3-319-41285-6, Open access- - Baldwin, Melinda (2017-07-11). "Q&A: Gerard 't Hooft on the future of quantum mechanics".
*Physics Today*. doi:10.1063/pt.6.4.20170711a.

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- Gerard 't Hooft (homepage)
- How To Become a Good Theoretical Physicist
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- TVO.org video - Gerard t'Hooft lectures on Science Fiction and Reality Lecture delivered at the Perimeter Institute in Waterloo, Ontario, Canada on May 7, 2008
- Gerard 't Hooft on INSPIRE-HEP