DYNAMICAL GENERATION OF FERMION MASS (CHIRAL SYMMETRY, QCD, SUPERSYMMETRY, NJL MODEL, BIFURCATION).
Item
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Title
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DYNAMICAL GENERATION OF FERMION MASS (CHIRAL SYMMETRY, QCD, SUPERSYMMETRY, NJL MODEL, BIFURCATION).
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Identifier
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AAI8601669
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identifier
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8601669
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Creator
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LI, DA-XI.
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Contributor
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Ngee-Pong Chang
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Date
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1985
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Language
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English
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Publisher
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City University of New York.
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Subject
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Physics, Elementary Particles and High Energy
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Abstract
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The problem of dynamical generation of fermion masses and chiral symmetry breaking is studied. Another formulation for the Chang-Chang approach, which is based on the Nambu-Jona-Lasinio (NJL) mechanism, is presented. It is showed that the solution m = e('1/6) is independent of the two-loop constant. The gauge independence of the solution of the self-consistency condition in two loop accuracy is showed through an explicit calculation in arbitary gauge and renormalization group analysis. The up-down quark mass difference is calculated by including QED interaction as perturbation to the QCD calculation and in two-loop accuracy the result is of the right sign and also of right order of magnitude. The supersymmetric extension of NJL model (SNJL) is studied. It is showed that there is a nontrivial solution of self consistency condition for the SNJL model. Using the bifurcation theory, the conditions of the stable nontrivial solution of the NJL and SNJL models are found and the critical temperature is calculated. It is showed that in supersymmetric gauge field theories chiral symmetry is broken via NJL mechanism and the dynamically generated mass is M = (,c(susy))e('1/2).
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
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Program
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Physics