Dynamical Symmetry Breaking on Langevin Equation : Nambu $\cdot$ Jona-Lasinio Model

Details Dynamical Symmetry Breaking on Langevin Equation : Nambu $\cdot$ Jona-Lasinio Model Dynamical Symmetry Breaking on Langevin Equation : Nambu $\cdot$ Jona-Lasinio Model

1992-12-22

arxiv.org/abs/hep-th/9212132v1

Prog.Theor.Phys. 89 (1993) 197-204

Physics

High Energy Physics

High Energy Physics - Theory

12 pages (Plain TeX), 7 figures(not included, sorry!), CHIBA-EP-64

Scientific paper

10.1143/PTP.89.197

In order to investigate dynamical symmetry breaking, we study Nambu$\cdot$Jona-Lasinio model in the large-N limit in the stochastic quantization method. Here in order to solve Langevin equation, we impose specified initial conditions and construct ``effective Langevin equation'' in the large-N limit and give the same non-perturbative results as path-integral approach gives. Moreover we discuss stability of vacuum by means of ``effective potential''.

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