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

Source: [Dynamical Symmetry Breaking on Langevin Equation : Nambu $\\cdot$ Jona-Lasinio Model](<https://www.sota2.com/research/paper/68fa35211e209131ce89ee8a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T21:05:12.131Z

Authors: K. Ikegami, R. Mochizuki, K. Yoshida

Published: 1992-12-22T08:26:58.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/9212132>)

[PDF](<https://arxiv.org/pdf/hep-th/9212132.pdf>)