Unsuppressed fermion-number violation at high temperature: An O(3) model

Details Unsuppressed fermion-number violation at high temperature: An O(3) model Unsuppressed fermion-number violation at high temperature: An O(3) model

Jan 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39..588m&link_type=abstract

Physical Review D (Particles and Fields), Volume 39, Issue 2, 15 January 1989, pp.588-602

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67

Nonlinear Or Nonlocal Theories And Models, Classical And Semiclassical Techniques, Applications Of Electroweak Models To Specific Processes, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

The O(3) nonlinear σ model in 1+1 dimensions, modified by an explicit symmetry-breaking term, is presented as a model for baryon- and lepton-number violation in the standard electroweak theory. Although arguments based on the Atiyah-Singer index theorem and instanton physics apply to the model, we show by explicit calculations that the rate of chiral fermion-number violation due to the axial anomaly is entirely unsuppressed at sufficiently high temperatures. Our results apply to unbroken gauge theories as well and may require reevaluation of the role of instantons in high-temperature QCD.

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