Vacuum energies and effective potential in light cone field theories

Sep, 1995
19 pages
Published in:
  • Prog.Theor.Phys. 95 (1996) 621-636
e-Print:
Report number:
  • TIT-HEP-299

Citations per year

1995199820012004200501234
Abstract: (arXiv)
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 NN 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 NN limit which give the gap equation as the stationary point.
  • Gross-Neveu model
  • Thirring model
  • symmetry: SU(N)
  • field theory: vector
  • symmetry: O(N)
  • any-dimensional
  • vacuum state: energy state
  • effective potential
  • light cone gauge