Vacuum Energies and Effective Potential in Light-Cone Field Theories
Abstract
Vacuum energies are computed in light-cone field theories to obtain effective potentials which determine vacuum condensate. Quantization surfaces interpolating between the light-like surface and the usual spatial one are useful to define the vacuum energies unambiguously. The Gross-Neveu, SU(N) Thirring, and O(N) vector models are worked out in the large limit. The vacuum energies are found to be independent of the interpolating angle to define the quantization surface. Renormalization of effective potential is explicitly performed. As an example of the case with nonconstant order parameter, two-dimensional QCD is also studied. Vacuum energies are explicitly obtained in the large limit which give the gap equation as the stationary point.
Keywords
Cite
@article{arxiv.hep-th/9509143,
title = {Vacuum Energies and Effective Potential in Light-Cone Field Theories},
author = {Shin-ichi Kojima and Norisuke Sakai and Tadakatsu Sakai},
journal= {arXiv preprint arXiv:hep-th/9509143},
year = {2011}
}
Comments
LaTeX file, 19 page, 1 eps figure, some references added