Stanley Mandelstam
Stanley Mandelstam | |
---|---|
Born | Birmingham University, Trinity College, Cambridge | 12 December 1928
Known for | Double dispersion relations Mandelstam variables |
Awards | Dirac Medal (1991) Dannie Heineman Prize for Mathematical Physics (1992) |
Scientific career | |
Fields | Particle physics String theory |
Institutions | University of the Witwatersrand University of California, Berkeley University of Birmingham |
Thesis | Some Contributions to the Theory and Application of the Bethe-Salpeter Equation (1956) |
Doctoral advisor | Rudolf Peierls |
Other academic advisors | Paul Taunton Matthews |
Doctoral students | Michio Kaku Charles Thorn Joseph Polchinski |
Stanley Mandelstam (
Early life
Mandelstam was born in Johannesburg,[2] South Africa to a Jewish family.[3]
Work
Mandelstam, along with Tullio Regge, did the initial development of the Regge theory of strong interaction phenomenology. He reinterpreted the analytic growth rate of the scattering amplitude as a function of the cosine of the scattering angle as the power law for the falloff of scattering amplitudes at high energy. Along with the double dispersion relations, Regge theory allowed theorists to find sufficient analytic constraints on scattering amplitudes of bound states to formulate a theory in which there are infinitely many particle types, none of which are fundamental.
After
In quantum field theory, Mandelstam and independently Sidney Coleman extended work of Tony Skyrme to show that the two dimensional quantum Sine-Gordon model is equivalently described by a Thirring model whose fermions are the kinks. He also demonstrated that the 4d N=4 supersymmetric gauge theory is power counting finite, proving that this theory is scale invariant to all orders of perturbation theory, the first example of a field theory where all the infinities in Feynman diagrams cancel.
Among his students at Berkeley are Joseph Polchinski, Michio Kaku, Charles Thorn and Hessamaddin Arfaei.
Stanley Mandelstam died in his Berkeley apartment in June, 2016.
Education
- University of the Witwatersrand, South Africa (BSc, 1952)
- Trinity College, Cambridge (BA, 1954)
- University of Birmingham (PhD, 1956)
Career
- Professor of Mathematical Physics, University of Birmingham, 1960–63
- Professor of Physics, Professor Emeritussince 1994)
- Professeur Associé, Université de Paris-Sud, 1979–80 and 1984–85
Honours
- Fellow of the Royal Society, 1962
- Dirac Medal and Prize, International Centre for Theoretical Physics, 1991
- Fellow, American Academy of Arts and Sciences, 1992
- Dannie Heineman Prize for Mathematical Physics, American Physical Society, 1992
References
- ISSN 0031-899X.
- ^ Array of Contemporary American Physicists Archived 29 October 2013 at the Wayback Machine
- William D. Rubinstein, Michael Jolles, Hilary L. Rubinstein, The Palgrave Dictionary of Anglo-Jewish History, Palgrave Macmillan (2011), p. 110