SU(N) Gauge Theories with C-Periodic Boundary Conditions: II. Small Volume Dynamics

Details SU(N) Gauge Theories with C-Periodic Boundary Conditions: II. Small Volume Dynamics SU(N) Gauge Theories with C-Periodic Boundary Conditions: II. Small Volume Dynamics

1992-10-07

arxiv.org/abs/hep-lat/9210008v1

Nucl.Phys. B401 (1993) 190-205

Physics

High Energy Physics

High Energy Physics - Lattice

FERMILAB-PUB-92/255-T and BUTP-92/40. 14 pages LaTeX with 2 figures in encapsulated Postscript appended

Scientific paper

10.1016/0550-3213(93)90302-6

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 symmetry, 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 version, for which the quartic modes are constant modes, and compute the effective Hamiltonian to one loop in perturbation theory.

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