Christ, Norman H. and Jin, Lu-Chang and Lehner, Christoph and Lundstrum, Erik and Matsumoto, Nobuyuki (2025) Extended framework for the hybrid Monte Carlo in lattice gauge theory. PHYSICAL REVIEW D, 112 (3): 034507. ISSN 2470-0010, 2470-0029
Full text not available from this repository. (Request a copy)Abstract
We develop an extended framework for the hybrid Monte Carlo (HMC) algorithm in lattice gauge theory by embedding the SU(N) group into the space of general complex matrices, MN(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 E MN(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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FOURIER ACCELERATION; LANGEVIN |
| Subjects: | 500 Science > 520 Astronomy & allied sciences 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Experimental and Applied Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 16 Jul 2026 06:46 |
| Last Modified: | 16 Jul 2026 06:46 |
| URI: | https://pred.uni-regensburg.de/id/eprint/67097 |
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