Bound State Effective Potential Formulation of Dynamical Symmetry Breaking
Mar, 197738 pages
Published in:
- Phys.Rev.D 16 (1977) 1211
Report number:
- Print-77-0257 (LOUISIANA STATE)
Citations per year
Abstract: (APS)
We propose an approximation procedure for studying dynamical symmetry breaking that closely parallels scalar field models of spontaneous symmetry breaking. We focus our attention on the role a deep scalar bound state plays in effecting a phase transition. We show that a viable approximation to the effective potential must contain all one-particle-reducible bound-state pole structures. This dictates a Dyson equation for the self-energy even in the simplest approximation. For theories with 4-field interactions this can reduce to a closed-form Hartree approximation. We look at trilinear interactions where the Dyson integral equation is intractible because of its nonlinearity. Without linearizing the Dyson equation we extract a bound-state contribution to the effective potential. We end up with a generalized effective potential that is a function of classical fields representing the bound state. We show that this contribution displays the proper phase transition when the theory becomes unstable due to a composite tachyon.- MODEL: BOUND STATE
- FIELD THEORY: CRITICAL PHENOMENA
- APPROXIMATION: EFFECTIVE POTENTIAL
- field theory: scalar
- FIELD THEORETICAL MODEL: MASSIVE
- SYMMETRY BREAKING
- FIELD THEORETICAL MODEL: SIGMA
- SYMMETRY: O(N)
- MODEL: FOUR-FERMION INTERACTION
- MODEL: N-POINT FUNCTION
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