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

Kenji Ikegami, Riuji Mochizuki, Kazuhiro Yoshida · Progress of Theoretical Physics · 1993

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 the 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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