Published October 4, 1993
| Version v1
Journal article
Vacuum tunneling and periodic structure in lattice Higgs models
- 1. Bielefeld Univ. (Germany). Fakultaet fuer Physik
- 2. HLRZ, Juelich (Germany)
Description
Using a geometric definition for the lattice Chern-Simons term in even dimensions, we have studied the distribution of Chern-Simons numbers for the 2d U(1) and the 4d SU(2) lattice Higgs models. The periodic structure of the distributions is preserved in our lattice formulation and has been examined in detail. In both cases the finite-size effects visible in the distribution of Chern-Simons numbers are well accounted for by the Haar measure. Moreover, we find that grows with the spatial volume. We also find numerical evidence that tunneling in 4d is increased at high temperature. (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Physics. B
- Journal Volume
- 406
- Journal Issue
- 3
- Journal Page Range
- p. 825-846.
- ISSN
- 0550-3213
- CODEN
- NUPBBO
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 25012175
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGORITHMS; ASYMPTOTIC SOLUTIONS; BOUNDARY CONDITIONS; COMPUTERIZED SIMULATION; FOUR-DIMENSIONAL CALCULATIONS; GAUGE INVARIANCE; GEOMETRY; HIGGS MODEL; INSTANTONS; LATTICE FIELD THEORY; MEASURE THEORY; MONTE CARLO METHOD; PROBABILITY; QUANTUM NUMBERS; SU-2 GROUPS; TEMPERATURE DEPENDENCE; TUNNEL EFFECT; TWO-DIMENSIONAL CALCULATIONS; U-1 GROUPS; UNIFIED GAUGE MODELS; VACUUM STATES
- Descriptors DEC
- CALCULATION METHODS; CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUASI PARTICLES; SIMULATION; SU GROUPS; SYMMETRY GROUPS; U GROUPS