SU(N) GAUGE-THEORIES WITH C-PERIODIC BOUNDARY-CONDITIONS .2. SMALL-VOLUME DYNAMICS

Citation
As. Kronfeld et Uj. Wiese, SU(N) GAUGE-THEORIES WITH C-PERIODIC BOUNDARY-CONDITIONS .2. SMALL-VOLUME DYNAMICS, Nuclear physics. B, 401(1-2), 1993, pp. 190-205
Citations number
15
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
401
Issue
1-2
Year of publication
1993
Pages
190 - 205
Database
ISI
SICI code
0550-3213(1993)401:1-2<190:SGWCB.>2.0.ZU;2-N
Abstract
The dynamics of SU(N) gauge theories, especially for N = 3, in a small C-periodic box are investigated. We identify the fields that mimimize the energy - the torons - and determine which of these ''classical'' vacua are stable quantum mechanically. The stable torons break cubic s ymmetry, which has interesting consequences on the spectrum. At any of the stable torons there are also quartic modes. Since all C-periodic boundary conditions are gauge-equivalent, we choose a convenient versi on, for which the quartic modes are constant modes, and compute the ef fective hamiltonian to one loop in perturbation theory.