Stanley Mandelstam

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Stanley Mandelstam
Born(1928-12-12)12 December 1928
Birmingham University,
Trinity College, Cambridge
Known forDouble dispersion relations
Mandelstam variables
AwardsDirac Medal (1991)
Dannie Heineman Prize for Mathematical Physics (1992)
Scientific career
FieldsParticle physics
String theory
InstitutionsUniversity 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 advisorRudolf Peierls
Other academic advisorsPaul Taunton Matthews
Doctoral studentsMichio Kaku
Charles Thorn
Joseph Polchinski

Stanley Mandelstam (

dispersion relations.[1] The double dispersion relations were a central tool in the bootstrap program
which sought to formulate a consistent theory of infinitely many particle types of increasing spin.

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

Neveu–Schwarz sectors
of superstring theory, and later gave arguments for the finiteness of string perturbation theory.

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

Career

  • Professor of Mathematical Physics, University of Birmingham, 1960–63
  • Professor of Physics,
    Professor Emeritus
    since 1994)
  • Professeur Associé,
    Université de Paris-Sud
    , 1979–80 and 1984–85

Honours

References

External links