Exact one-fermion-loop contributions in (1+1)-dimensional solitons
- Department of Physics, University of Colorado, Boulder, Colorado 80309 (United States)
We find solutions to the (1+1)-dimensional scalar-only linear [sigma] model. A new method is used to compute one-fermion-loop contributions exactly, and agreemment with published results employing other methods is excellent. A renormalization scheme which differs from that commonly used in such calculations but is similar to that required in 1+3 dimensions is also presented. We compare kink'' versus shallow bag'' solutions, paying careful attention to the implications of the one-fermion-loop contributions for the stability of the former. We find that, for small fermion multiplicities, self-consistent shallow bag solutions are always more bound than their metastable kink counterparts. However, as the fermion multiplicity increases, shallow bags evolve into kinks which eventually are the only self-consistent configurations. This situation is qualitatively the same for the two renormalization schemes considered. When we construct baryons,'' each containing three fermions, the kink configuration is typically more bound than the shallow bag when one-fermion-loop contributions are included.
- OSTI ID:
- 6236327
- 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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Related Subjects
BAG MODEL
LAGRANGIAN FUNCTION
CHIRAL SYMMETRY
FERMIONS
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SYMMETRY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662240 - Models for Strong Interactions- (1992-)