Spontaneous symmetry breaking of (1+1)-dimensional [phi][sup 4] theory in light-front field theory
- Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
- Department of Physics, The Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210 (United States)
We study spontaneous symmetry breaking in (1+1)-dimensional [phi][sup 4] theory using the light-front formulation of field theory. Since the physical vacuum is always the same as the perturbative vacuum in light-front field theory the fields must develop a vacuum expectation value through the zero-mode components of the field. We solve the nonlinear operator equation for the zero mode in the one-mode approximation. We find that spontaneous symmetry breaking occurs at [lambda][sub critical]=4[pi](3+ [radical]3 )[mu][sup 2], which is consistent with the value [lambda][sub critical]=54.27[mu][sup 2] obtained in the equal-time theory. We calculate the vacuum expectation value as a function of the coupling constant in the broken phase both numerically and analytically using the [delta] expansion. We find two equivalent broken phases. Finally we show that the energy levels of the system have the expected behavior for the broken phase.
- OSTI ID:
- 6426686
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 48:2; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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QUANTUM FIELD THEORY
SYMMETRY BREAKING
ASYMPTOTIC SOLUTIONS
COUPLING
ENERGY LEVELS
EXPECTATION VALUE
LIGHT CONE
NONLINEAR PROBLEMS
RENORMALIZATION
SCALAR FIELDS
VACUUM STATES
FIELD THEORIES
SPACE-TIME
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