Deep reinforcement learning for complex evaluation of one-loop diagrams in quantum field theory

12/27/2019
by   Andreas Windisch, et al.
0

In this paper we present a novel technique based on deep reinforcement learning that allows for numerical analytic continuation of integrals that are often encountered in one-loop diagrams in quantum field theory. In order to extract certain quantities of two-point functions, such as spectral densities, mass poles or multi-particle thresholds, it is necessary to perform an analytic continuation of the correlator in question. At one-loop level in Euclidean space, this results in the necessity to deform the integration contour of the loop integral in the complex plane of the square of the loop momentum, in order to avoid non-analyticities in the integration plane. Using a toy model for which an exact solution is known, we train a reinforcement learning agent to perform the required contour deformations. Our study shows great promise for an agent to be deployed in iterative numerical approaches used to compute non-perturbative 2-point functions, such as the quark propagator Dyson-Schwinger equation, or more generally, Fredholm equations of the second kind, in the complex domain.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
12/24/2021

A machine learning pipeline for autonomous numerical analytic continuation of Dyson-Schwinger equations

Dyson-Schwinger equations (DSEs) are a non-perturbative way to express n...
research
12/14/2022

Quantum Control based on Deep Reinforcement Learning

In this thesis, we consider two simple but typical control problems and ...
research
10/30/2019

NESSi: The Non-Equilibrium Systems Simulation package

The nonequilibrium dynamics of correlated many-particle systems is of in...
research
12/31/2020

Curriculum-based Deep Reinforcement Learning for Quantum Control

Deep reinforcement learning has been recognized as an efficient techniqu...
research
01/17/2017

The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory

We device a new method to calculate a large number of Mellin moments of ...
research
09/12/2022

Computer algebra calculations in supersymmetric electrodynamics

We propose a new symbolic algorithm and a C++ program for generating and...
research
11/12/2018

An Application of Rubi: Series Expansion of the Quark Mass Renormalization Group Equation

We highlight how Rule-based Integration (Rubi) is an enhanced method of ...

Please sign up or login with your details

Forgot password? Click here to reset