Arthur Jaffe

Arthur Michael Jaffe (born December 22, 1937 in New York City ) is an American mathematical physicist who mainly deals with quantum field theory.

Life

Jaffe grew up in Pelham, New York. He first studied chemistry at Princeton University (BA 1959, “summa cum laude”) and then mathematics at Cambridge University (Clare College, BA 1961). In 1961 he went back to Princeton, where he earned his doctorate in physics under Arthur Strong Wightman in 1966 and graduated in mathematics, physics and chemistry. In between he was with Wightman at IHES near Paris in 1963/4 , where he also met Res Jost and Klaus Hepp . In 1966 he was at Stanford University and from 1967 assistant professor at Harvard University , where he became professor of physics in 1970, switched to mathematicians in 1973 and was chairman of the department of mathematics from 1987 to 1990. He is currently Landon T. Clay Professor of Mathematics and Theoretical Science at Harvard. He was u. a. Visiting professor at the ETH Zurich (1968), the beginning of a collaboration a. a. with Robert Schrader , Konrad Osterwalder and Jürg Fröhlich from the ETH Zurich from the beginning of the 1970s, as well as at Rockefeller University , the “La Sapienza” University in Rome and at Princeton University.

In 1979 he received the New York Academy of Sciences Prize in Mathematical Physics and in 1980 the Dannie Heineman Prize in Mathematical Physics . He was President of the International Association of Mathematical Physics and editor of Communications in Mathematical Physics for 21 years . In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki ( Introduction to gauge theories ).

In 1968 he received a research grant from the Alfred P. Sloan Foundation ( Sloan Research Fellowship ). In 1972 he became a Fellow of the American Physical Society . He is a member of the American Academy of Arts and Sciences and the US National Academy of Sciences . In 2009 he was elected an honorary member of the Royal Irish Academy . He is a founding member of the Clay Mathematics Institute , of which he was President from 1998 to 2001, and (1976) one of the founders of the Summer School of Theoretical Physics in Cargèse, Corsica, which he organized from 1976 to 1996. In 1978 he held an Invited Address at the International Congress of Mathematicians in Helsinki. In 2005 he succeeded Michael Atiyah as Chairman of the Institute for Advanced Studies in Dublin . In 1997/98 he was president of the American Mathematical Society , of which he is a fellow.

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From 1969 to 1972 he laid the basis for “Constructive Quantum Field Theory” in a series of works with James Glimm , presented in her book “Quantum Physics - a functional integral point of view” (Springer 1981, 1987). They justified the use of the renormalization procedure independently of perturbation theory and were the first to prove the existence of non-trivial relativistic quantum field theories (in 2 and 3 spatial dimensions, the case d = 4 is still open) and the existence of different phases in quantum field theories. Later he dealt u. a. with gauge theories and non-commutative geometry.

His article with Frank Quinn "Theoretical Mathematics - towards a cultural synthesis of mathematics and theoretical physics" in the Bulletin of the AMS 1993 led to a debate about the role of mathematical rigor in applied mathematics (especially string theory ).

literature

Glimm, Jaffe: "Quantum physics - a functional integral point of view", Springer 1981, 2nd edition 1987, ISBN 0-387-96477-0
Glimm, Jaffe: "Collected Papers", 2 volumes, Birkhäuser, Basel 1985

Web links

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^ Members: Arthur Jaffe. Royal Irish Academy, accessed May 9, 2019 .
↑ CV from Jaffe's homepage (PDF; 24 kB)
↑ scalar fields with cubic and quartischer self-interaction, and as well as with Yukawa interaction wherein a spinor (ie, a Fermionenfeld ) is. ${\ displaystyle \ phi}$ ${\ displaystyle \ phi ^ {3}}$ ${\ displaystyle \ phi ^ {4}}$ ${\ displaystyle {\ bar {\ psi}} \ phi \ psi}$ ${\ displaystyle \ psi}$

↑ Quinn, Jaffe Bulletin AMS Vol. 29, 1993, pp. 1-13, PDF file , Answers to Quinn, Jaffe , Reply from Quinn, Jaffe

personal data
SURNAME	Jaffe, Arthur
ALTERNATIVE NAMES	Jaffe, Arthur Michael (full name)
BRIEF DESCRIPTION	American mathematical physicist
DATE OF BIRTH	December 22, 1937
PLACE OF BIRTH	New York City

[1] Members: Arthur Jaffe. Royal Irish Academy, accessed May 9, 2019 .

[CV-2] CV from Jaffe's homepage (PDF; 24 kB)

[3] scalar fields with cubic and quartischer self-interaction, and as well as with Yukawa interaction wherein a spinor (ie, a Fermionenfeld ) is. ${\ displaystyle \ phi}$ ${\ displaystyle \ phi ^ {3}}$ ${\ displaystyle \ phi ^ {4}}$ ${\ displaystyle {\ bar {\ psi}} \ phi \ psi}$ ${\ displaystyle \ psi}$

[4] Quinn, Jaffe Bulletin AMS Vol. 29, 1993, pp. 1-13, PDF file , Answers to Quinn, Jaffe , Reply from Quinn, Jaffe