Computing real-time quantum path integrals on Sewed, almost-Lefschetz thimbles

Zong-Gang Mou

doi:10.1007/JHEP03(2025)058

Computing real-time quantum path integrals on Sewed, almost-Lefschetz thimbles

2025-03-07

0

OA

AI

DOI：10.1007/JHEP03(2025)058

原文链接

原文求助

摘要

En 中文

We present a method to compute real-time path integrals numerically, by Monte-Carlo sampling on near-Lefschetz thimbles. We present a collection of tools based on the Lefschetz thimble methods, which together provide an alternative to existing methods such as the Generalised thimble. These involve a convenient coordinate parameterization of the thimble, direct numerical integration along a radial coordinate into an effective path integral weight and locally deforming the Lefschetz thimble using its Gaussian (non-interacting theory) counterpart in a region about the critical point. We apply this to quantum mechanics, identify possible pitfalls and benefits, and benchmark its efficiency.

Keyword:

Lattice Quantum Field Theory

Nonperturbative Effects

Stochastic Processes

Non-Equilibrium Field Theory

Computing real-time quantum path integrals on Sewed, almost-Lefschetz thimbles

摘要

期刊

机构

引用论文