Approximate computation of the sphaleron prefactor. Application to the two-dimensional Abelian Higgs model

Journal Article · Mon Oct 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.2853· OSTI ID:6228248

Carson, L ^[1]

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1. Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, 116 Church Street, Minneapolis, Minnesota 55455 (USA)

The determinant {kappa} of thermal fluctuations around the sphaleron configuration of the (1+1)-dimensional Abelian Higgs model is computed in the limit of large temperatures using approximations based on Schwinger's proper-time representation. When the gauge-boson mass {ital M}{sub {ital W}} exceeds the scalar-boson mass {ital M}{sub {ital H}} these approximations give results which agree well with the known closed-form expressions for the determinant. For {ital M}{sub {ital W}}{le}{ital M}{sub {ital H}}, however, the approximations fail to give accurate estimates. Implications for estimating the sphaleron prefactor of electroweak theory are briefly discussed.

• DOE Contract Number: AC02-83ER40105; FG02-87ER40328
• OSTI ID: 6228248
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYON NUMBER
BOLTZMANN STATISTICS
CONSERVATION LAWS
ENERGY
FIELD THEORIES
FREE ENERGY
FUNCTIONS
HIGGS MODEL
LIE GROUPS
MASS
MATHEMATICAL MODELS
MATRIX ELEMENTS
PARTICLE MODELS
PARTITION FUNCTIONS
PHYSICAL PROPERTIES
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
THERMODYNAMIC PROPERTIES
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
VACUUM STATES
WEINBERG-SALAM GAUGE MODEL