Work

Extended framework for the hybrid Monte Carlo in lattice gauge theory

Year: 2025

Type: article

Abstract: We develop an extended framework for the hybrid Monte Carlo (HMC) algorithm in lattice gauge theory by embedding the S U ( N ) group into the space of general complex matrices, M N ( C ) . Auxiliary directions will be completely factorized in the path integral, and the embedding does not alter the expectation values of the original theory. We perform the molecular dynamics updates by using the matrix elements of W ∈ M N ( C ) as the dynamical variables without group theoretic constraints. The framework enables us to introduce nonseparable Hamiltonians for the HMC in lattice gauge theory exactly, whose immediate application includes the Riemannian manifold HMC.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/k6dm-lj56

Authors: Norman H. Christ, Lu-Chang Jin, Christoph Lehner, Erik Lundstrum, Nobuyuki Matsumoto

Institutions: Columbia University, University of Connecticut, University of Regensburg, Boston University

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: U.S. Department of Energy, Office of Science, High Energy Physics