Large N Limit on Langevin Equation | Zendy

Riuji Mochizuki | Zendy; Kazuhiro Yoshida | Zendy

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Large N Limit on Langevin Equation

Author(s) -

Riuji Mochizuki,

Kazuhiro Yoshida

Publication year - 1993

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.89.275

Subject(s) - stochastic quantization , physics , langevin equation , path integral formulation , limit (mathematics) , sigma model , quantization (signal processing) , statistical physics , nonlinear system , langevin dynamics , brownian dynamics , sigma , mathematical physics , quantum mechanics , quantum , brownian motion , mathematical analysis , mathematics , statistics

We study the stochastic quantization of two-dimensional nonlinear sigma model in the large $N$ limit. Our main tool is the {\it effective} Langevin equation with which we investigate nonperturbative phenomena and derive the results which are same as the path integral approach gives.

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