Baryon-number violation with improved instantons

We consider the question of possible baryon-number violation at TeV energies in electroweak theory. We prove that already at much lower energies, the usual O(4)-symmetric instantons are the wrong ones to use. The true instantons, which we exhibit, are only O(3) symmetric, and in the example we work...

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Bibliographic Details
Published in:Physical review letters 1991-01, Vol.66 (1), p.13-16
Main Authors: ARNOLD, P. B, MATTIS, M. P
Format: Article
Language:English
Subjects:
645202 - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties
645203 - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties
645204 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
BARYONS
BOSONS
Classical and quantum physics: mechanics and fields
CROSS SECTIONS
DYNAMICAL GROUPS
ELEMENTARY PARTICLES
Exact sciences and technology
FERMIONS
HADRONS
INSTANTONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
LIE GROUPS
MASS
MATHEMATICAL MODELS
O GROUPS
PARTICLE MODELS
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM NUMBERS
QUASI PARTICLES
STANDARD MODEL
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
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Summary:We consider the question of possible baryon-number violation at TeV energies in electroweak theory. We prove that already at much lower energies, the usual O(4)-symmetric instantons are the wrong ones to use. The true instantons, which we exhibit, are only O(3) symmetric, and in the example we work out reduce the initial rise in the baryon-number-violating cross section by a factor of 4 in the exponent, in accord with a diagrammatic analysis. Our approach appears extendable to energies of the order of the sphaleron mass.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.66.13