Spontaneous symmetry breaking of (1+1)-dimensional [phi][sup 4] theory in light-front field theory. III
- Department of Physics, The Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210 (United States)
- Department of Physics, University of Minnesota-Duluth, Duluth, Minnesota 55812 (United States)
We investigate (1+1)-dimensional [phi][sup 4] field theory in the symmetric and broken phases using discrete light-front quantization. We calculate the perturbative solution of the zero-mode constraint equation for both the symmetric and broken phases and show that standard renormalization of the theory yields finite results. We study the perturbative zero-mode contribution to two diagrams and show that the light-front formulation gives the same result as the equal-time formulation. In the broken phase of the theory, we obtain the nonperturbative solutions of the constraint equation and confirm our previous speculation that the critical coupling is logarithmically divergent. We discuss the renormalization of this divergence but are not able to find a satisfactory nonperturbative technique. Finally we investigate properties that are insensitive to this divergence, calculate the critical exponent of the theory, and find agreement with mean field theory as expected.
- OSTI ID:
- 6639625
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 51:2; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Spontaneous symmetry breaking of (1+1)-dimensional [phi][sup 4] theory in light-front field theory
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Related Subjects
PHI4-FIELD THEORY
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LIGHT CONE
PERTURBATION THEORY
QUANTIZATION
RENORMALIZATION
TWO-DIMENSIONAL CALCULATIONS
FIELD THEORIES
QUANTUM FIELD THEORY
SPACE-TIME
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