Dynamical Symmetry Breaking on Langevin Equation : Nambu · Jona-Lasinio Model
K. Ikegami, R. Mochizuki, K. Yoshida
Abstract
In order to investigate dynamical symmetry breaking, we study Nambu·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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