Stochastic quantization with discrete fictitious time

2025/01/24 by Kadoh, Daisuke, Kato, Mitsuhiro, Sakamoto, Makoto +1
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2501.14260

Abstract

We present a new approach to stochastic quantization à la Parisi-Wu with a discrete fictitious time. The noise average is modified by weights, which results in the equivalence in the large time limit to the correlation function of the corresponding quantum field theory \it without taking any continuum limit of fictitious time. We test our method in a zero-dimensional toy model both perturbatively and numerically.

Cited by

• Emergent Gravity from Topological Quantum Field Theory: Stochastic Gradient Flow Perspective away from the Quantum Gravity Problem

Related

• Stochastic quantum field dynamics in the proper time
• Stochastic Quantization as Optimal Control
• Stochastic Quantisation and Non-Equilibrium Statistical Mechanics
• Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions
• Quantum-field-theoretical techniques for stochastic representation of quantum problems