Lattice simulations of 10d Yang-Mills toroidally compactified to 1d, 2d, and 4d
Volume
96
Pagination
094502 - ?
Publisher
DOI
10.1103/physrevd.96.094502
Journal
Physical Review D
Issue
ISSN
2470-0010
Metadata
Show full item recordAbstract
Toroidally compactified Yang-Mills theory on the lattice is studied by using the Hybrid Monte Carlo algorithm. When the compact dimensions are small, the theory naturally reduces to Yang-Mills with scalars. We confirm previous analytical and numerical results for pure gauge theory with scalars in (0+1) dimensions and at high temperatures to super-Yang-Mills in (1+1) dimensions. In (1+1) dimensions, our simulations confirm the previously conjectured phase diagram. Furthermore, we find evidence for the sequential breaking of the center symmetry in (1+1) dimensions as a function of the volume. In (3+1) dimensions we present first simulation results for the eigenvalue distribution of the Polyakov and Wilson loops, finding localized, nonuniform, and center-symmetric configurations as a function of the lattice coupling.
Authors
Hanada, M; Romatschke, PCollections
- Mathematics [1686]