Vacuum Energies and Effective Potential in Light-Cone Field Theories

Details Vacuum Energies and Effective Potential in Light-Cone Field Theories Vacuum Energies and Effective Potential in Light-Cone Field Theories

1995-09-26

arxiv.org/abs/hep-th/9509143v2

Prog.Theor.Phys.95:621-636,1996

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 19 page, 1 eps figure, some references added

Scientific paper

10.1143/PTP.95.621

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 $N$ 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 $N$ limit which give the gap equation as the stationary point.

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