Mathematical Physics

    

Double Stochastic Quantization:non Perturbative Approach to Stochastic Quantization F_d ^2n , N ≥ 2, D ≥ 4 Model Eucledean Quantum Field Theory

Authors: Jaykov Foukzon

In this paper, we show how the finite formulation of quantum field theory based on Langevin equations can be generalized to the case of nonrenormalizable theories.The 5th-time stochastic-quantization approach to field theory proposed by Parisi and Wu, is put in a path-integral form in [6]. The procedure of taking the limit τ→∞ is analyzed and based on new grounds through the introduction of thevacuum-vacuum generating functional. In this paper non perturbative aprouch related to Parisi and Wu stochastic-quantization of the λϕ_{d}²u207f,n≥2,d≥4 model quantum field theory is considered.

Comments: 154 Pages.

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Submission history

[v1] 2025-06-22 23:08:07
[v2] 2025-07-24 11:07:53
[v3] 2025-11-18 23:07:06

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