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- Stanley_Mandelstam abstract "Stanley Mandelstam (born 12 December 1928) is a South African-born American theoretical physicist. He introduced the relativistically invariant Mandelstam variables into particle physics in 1958 as a convenient coordinate system for formulating his double dispersion relations. 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.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 relation, 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 Veneziano constructed the first tree-level scattering amplitude describing infinitely many particle types, what was recognized almost immediately as a string scattering amplitude, Mandelstam continued to make crucial contributions. He interpreted the Virasoro algebra discovered in consistency conditions as a geometrical symmetry of a world-sheet conformal field theory, formulating string theory in terms of two dimensional quantum field theory. He used the conformal invariance to calculate tree level string amplitudes on many worldsheet domains. Mandelstam was the first to explicitly construct the fermion scattering amplitudes in the Ramond and Neveu–Schwarz sectors of superstring theory, and later gave arguments for the finiteness of string perturbation theory.Mandelstam has stated that he has not proved that string theory is finite and that he proved merely that a certain type of infinite term does not appear in string 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 thatthe 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 Nathan Berkovits.".
- Stanley_Mandelstam academicAdvisor Paul_Taunton_Matthews.
- Stanley_Mandelstam almaMater Trinity_College,_Cambridge.
- Stanley_Mandelstam almaMater University_of_Birmingham.
- Stanley_Mandelstam almaMater University_of_the_Witwatersrand.
- Stanley_Mandelstam award Dannie_Heineman_Prize_for_Mathematical_Physics.
- Stanley_Mandelstam award Dirac_Prize.
- Stanley_Mandelstam birthDate "1928-12-12".
- Stanley_Mandelstam birthPlace Johannesburg.
- Stanley_Mandelstam birthPlace Union_of_South_Africa.
- Stanley_Mandelstam doctoralAdvisor Richard_Dalitz.
- Stanley_Mandelstam doctoralStudent Charles_Thorn.
- Stanley_Mandelstam doctoralStudent Joseph_Polchinski.
- Stanley_Mandelstam doctoralStudent Michio_Kaku.
- Stanley_Mandelstam doctoralStudent Nathan_Berkovits.
- Stanley_Mandelstam field Particle_physics.
- Stanley_Mandelstam field String_theory.
- Stanley_Mandelstam wikiPageExternalLink index.php?option=com_dept_management&act=people&Itemid=312&limitstart=0&task=view&id=366.
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- Stanley_Mandelstam wikiPageWikiLink American_Academy_of_Arts_and_Sciences.
- Stanley_Mandelstam wikiPageWikiLink American_Physical_Society.
- Stanley_Mandelstam wikiPageWikiLink Bootstrap_model.
- Stanley_Mandelstam wikiPageWikiLink Category:1928_births.
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- Stanley_Mandelstam wikiPageWikiLink Category:Theoretical_physicists.
- Stanley_Mandelstam wikiPageWikiLink Category:University_of_California,_Berkeley_faculty.
- Stanley_Mandelstam wikiPageWikiLink Charles_Thorn.
- Stanley_Mandelstam wikiPageWikiLink Dannie_Heineman_Prize_for_Mathematical_Physics.
- Stanley_Mandelstam wikiPageWikiLink Dirac_Prize.
- Stanley_Mandelstam wikiPageWikiLink Dispersion_relation.
- Stanley_Mandelstam wikiPageWikiLink Feynman_diagram.
- Stanley_Mandelstam wikiPageWikiLink Gabriele_Veneziano.
- Stanley_Mandelstam wikiPageWikiLink International_Centre_for_Theoretical_Physics.
- Stanley_Mandelstam wikiPageWikiLink Johannesburg.
- Stanley_Mandelstam wikiPageWikiLink Joseph_Polchinski.
- Stanley_Mandelstam wikiPageWikiLink Mandelstam_variables.
- Stanley_Mandelstam wikiPageWikiLink Michio_Kaku.
- Stanley_Mandelstam wikiPageWikiLink Nathan_Berkovits.
- Stanley_Mandelstam wikiPageWikiLink Particle_physics.
- Stanley_Mandelstam wikiPageWikiLink Paul_Dirac.
- Stanley_Mandelstam wikiPageWikiLink Paul_Taunton_Matthews.
- Stanley_Mandelstam wikiPageWikiLink Pierre_Ramond.
- Stanley_Mandelstam wikiPageWikiLink Professors_in_the_United_States.
- Stanley_Mandelstam wikiPageWikiLink Regge_theory.
- Stanley_Mandelstam wikiPageWikiLink Richard_Dalitz.
- Stanley_Mandelstam wikiPageWikiLink Royal_Society.
- Stanley_Mandelstam wikiPageWikiLink Sidney_Coleman.
- Stanley_Mandelstam wikiPageWikiLink Sine-Gordon_equation.
- Stanley_Mandelstam wikiPageWikiLink South_Africa.
- Stanley_Mandelstam wikiPageWikiLink String_theory.
- Stanley_Mandelstam wikiPageWikiLink Super_Virasoro_algebra.
- Stanley_Mandelstam wikiPageWikiLink Thirring_model.
- Stanley_Mandelstam wikiPageWikiLink Tony_Skyrme.
- Stanley_Mandelstam wikiPageWikiLink Trinity_College,_Cambridge.
- Stanley_Mandelstam wikiPageWikiLink Tullio_Regge.
- Stanley_Mandelstam wikiPageWikiLink Union_of_South_Africa.
- Stanley_Mandelstam wikiPageWikiLink University_of_Birmingham.
- Stanley_Mandelstam wikiPageWikiLink University_of_California,_Berkeley.
- Stanley_Mandelstam wikiPageWikiLink University_of_Paris-Sud.
- Stanley_Mandelstam wikiPageWikiLink University_of_the_Witwatersrand.
- Stanley_Mandelstam wikiPageWikiLink Veneziano_amplitude.
- Stanley_Mandelstam wikiPageWikiLink Virasoro_algebra.
- Stanley_Mandelstam wikiPageWikiLinkText "Stanley Mandelstam".
- Stanley_Mandelstam academicAdvisors Paul_Taunton_Matthews.
- Stanley_Mandelstam almaMater Trinity_College,_Cambridge.
- Stanley_Mandelstam almaMater University_of_Birmingham.
- Stanley_Mandelstam almaMater University_of_the_Witwatersrand.
- Stanley_Mandelstam awards Dirac_Prize.
- Stanley_Mandelstam awards "Dannie Heineman Prize for Mathematical Physics".
- Stanley_Mandelstam birthDate "1928-12-12".
- Stanley_Mandelstam birthPlace Johannesburg.
- Stanley_Mandelstam birthPlace Union_of_South_Africa.
- Stanley_Mandelstam doctoralAdvisor Richard_Dalitz.
- Stanley_Mandelstam doctoralStudents Charles_Thorn.
- Stanley_Mandelstam doctoralStudents Joseph_Polchinski.
- Stanley_Mandelstam doctoralStudents Michio_Kaku.
- Stanley_Mandelstam doctoralStudents Nathan_Berkovits.
- Stanley_Mandelstam fields Particle_physics.
- Stanley_Mandelstam fields String_theory.
- Stanley_Mandelstam name "Stanley Mandelstam".
- Stanley_Mandelstam thesisTitle "Some Contributions To The Theory And Application Of The Bethe-Salpeter Equation.".
- Stanley_Mandelstam thesisYear "1956".
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- Stanley_Mandelstam workplaces University_of_Birmingham.