Instantaneous stochastic perturbation theory

Abstract

A form of stochastic perturbation theory is described, where the representative stochastic fields are generated instantaneously rather than through a Markov process. The correctness of the procedure is established to all orders of the expansion and for a wide class of field theories that includes all common formulations of lattice QCD.

Plain TeX source, 25 pages, 7 figures

References in corpus (8)

• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• Trivializing maps, the Wilson flow and the HMC algorithm
• On the Schroedinger functional in QCD
• Four Loop Result in $SU(3)$ Lattice Gauge Theory by a Stochastic Method: Lattice Correction to the Condensate
• Lattice regularization of chiral gauge theories to all orders of perturbation theory
• Step scaling and the Yang-Mills gradient flow
• Numerical Stochastic Perturbation Theory for full QCD
• Dynamics of Langevin Simulation

Cited by in corpus (5)

• Machine Learning in Nuclear Physics
• Bootstrap for Lattice Yang-Mills theory
• Efficient Modelling of Trivializing Maps for Lattice ${\varphi }^4$ Theory Using Normalizing Flows: A First Look at Scalability
• Investigation of New Methods for Numerical Stochastic Perturbation Theory in ${\phi }^4$ Theory
• NSPT estimate of the improvement coefficient $c_A$ to two loops