Science is in Gerardus ‘t Hooft’s blood. In 1953, his grand-uncle Frits Zernike, received the Nobel Prize in Physics, his grandfather PN van Kampen was a biology professor, and his uncle, Nicolaas van Kampen was professor of theoretical physics at Utrecht.

Gerardus, born in Dan Helder in 1946, was late in learning to read, write, or even speak, but he was advanced in engineering. He experimented with Meccano sets and radio kits. When his father, a naval engineer, bought him books about ships and cars, he rejected them, saying: “Those things have already been invented. I want to discover new things.” At the Dalton Lyceum in The Hague he excelled at mathematics (at 16, he came second in a National Math Olympiad), chemistry and physics (where his arguments caused a textbook to be rewritten), and was encouraged in biology due to the staff’s regard for his grandfather. He progressed to the State University of Utrecht where his uncle was teaching but, keen to get to grips with subatomic particles, he studied instead under Martinus Veltman. Veltman had been working on a paper by CN Yang and RL Mills regarding massless particles, which was considered brilliant but useless for, as he explained to his student: “It describes particles which do not exist”.

Scientists had formulated several different theories in attempts to describe the electromagnetism and the weak nuclear force as the products of one single force. These theories were without a mathematical foundation, but Veltman suspected that the Yang-Mills theory had to be the key to the problem, and had started designing a computer program to prove it. The duo joined forces in 1969. The next year ‘t Hooft attended a summer course in Corsica under Maurice Lévy. He formulated Feynman rules and derived identities for the Yang-Mills particles and in 1971 published his fi ndings. The two men then used Veltman’s computer to calculate the properties of the W and Z particles predicted by the theory. The ‘t Hooft- Veltman model allowed scientists to calculate the physical properties of other subatomic particles.

In 1999 the two men shared the Nobel Prize in Physics “for elucidating the quantum structure of electroweak interactions in physics”. Needless to say, ‘t Hooft passed his PhD in 1972. The same year he married Albertha Schik, a medical student at Utrecht (they have two daughters).

The duo then joined CERN in Geneva, where ‘t Hooft applied the Yang-Mills theory to the quark confi nement problem. This led him to other important discoveries. In 1976, he was guest lecturer at Harvard and Stanford in the US, and returned to Utrecht as a full professor. In the 1980s, he studied superstring theories but found himself more in sympathy with Stephen Hawking’s notions about black holes. In 1986, ‘t Hooft was awarded the Lorentz Medal. An asteroid (9491 Thooft) is named in his honour; and he has written a constitution for its future inhabitants.

This text and the picture of the Nobel Laureate were taken from the book: "NOBELS. Nobel Laureates photographed by Peter Badge" (WILEY-VCH, 2008).

Geradus 't Hooft is part of the exhibition project "Sketches of Science" by Volker Steger

Exhibition "Sketches of Science" by Volker Steger - Locations & Dates

*By Volker Steger*

When asked for his “Nobel drawing”, ‘t Hooft pushes aside the big paper I

off er and asks for a standard A4 sheet. I get slightly worried, because such

a small drawing would look bad in the photo. As it turns out, he only

wants to make a draft on the small piece of paper, which is then to be

transferred to the full 70 x 100 cm. This is exactly how it happens:

A perfectionist at work!

Als ich ‘t Hooft um seine „Nobel-Zeichnung“ bitte, fegt er

den großen Papierbogen, den ich ihm angeboten habe,

beiseite und fragt nach einem Standard-A4-Blatt. Ich bin

etwas beunruhigt, weil ein solch kleines Blatt auf einem

Foto schlecht rüberkommt. Wie sich aber herausstellt, will

er nur einen Entwurf im Kleinformat erstellen, der dann auf

das volle 70 x 100 cm Format übertragen werden soll. Und

exakt so geschieht es: ein Perfektionist bei der Arbeit!

Expressing the Elementary*by Adam Smith*

“The formula on top and the diagrams below are just different sides of the same coin,” explains Gerardus ‘t Hooft, looking at his drawing. “It’s sometimes difficult even to explain to your nearest, closest colleague exactly what you’re doing. And so we have learned to try to simplify our notation and the way we talk about things as much as possible.”

At the top of the page ‘t Hooft has written a formula, which he quickly points out “will not be understandable to most people.” It is a depiction, in the simplest form, of expressions needed to describe a field theory in particle physics. Field theories describe objects in the world of particles, the equations used to express them being similar to those used to describe more familiar electric or magnetic fields. The coloured pictures that fill most of the page are ‘Feynman diagrams’: pictorial representations of the mathematical expressions that govern the behavior of subatomic particles. They were invented by Richard Feynman in the mid-20th century as a way of helping particle physicists express their ideas to themselves, to their colleagues, and to the general public.

The diagrams in a very rough sense describe how particles move. For example, look at the first picture, top left, with a minus sign in front of it. A wavy line, which normally indicates a photon, comes along from the left. Like all elementary particles, the photon has the quantum mechanical property of spin, which is a type of angular momentum, and the value of its spin is 1 (throughout ‘t Hooft’s sketch, the colour red indicates fields with spin 1). The photon then splits into two particles, each of spin ½, shown in blue. One particle goes up, the other down, where the arrow in the ‘wrong’ direction indicates that this is an antiparticle. Then, to the right, the two particles combine again and the photon continues on its ways. One beauty of such Feynman diagrams is that they can in fact be viewed in different ways, and work equally well when read right to left.

‘t Hooft’s work with his PhD supervisor Martinus Veltman improved the predictive applicability of the Standard Model of particle physics and resulted in them being awarded the 1999 Nobel Prize in Physics. An important ingredient in their model was the elusive Higgs’ particle, which makes a celebrity appearance as the blue dot, bottom right.