Aspects of Electroweak Fermion Number Violation

Details Aspects of Electroweak Fermion Number Violation Aspects of Electroweak Fermion Number Violation

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phdt........65k&link_type=abstract

Thesis (PH.D.)--UNIVERSITY OF CALIFORNIA, LOS ANGELES, 1992.Source: Dissertation Abstracts International, Volume: 53-12, Sectio

Computer Science

1

Fermion, Number Violation

Scientific paper

Several aspects of electroweak fermion number violation are considered. First, fermionic instanton zero modes are constructed in an SU(2)-Higgs model with chirally coupled fermions when there is no custodial global SU(2) symmetry to ensure degenerate fermion masses. The result is that the number of zero modes is not affected by losing the global SU(2) symmetry. Then it is shown that a second-order or weak first -order electroweak phase transition cannot account for today's baryon asymmetry of the Universe. Rather, any initial B+L will be wiped out if B-L=0 . Also, sphalerons are constructed for extended Higgs sectors containing an additional scalar singlet or doublet. It is found that the sphaleron energy lies in the same range as that of the one-doublet model. Finally, the renormalization group is used to improve the effective potential first of one-component phi^4 theory and then for the N-component case. A potentially dangerous infrared divergence appears for vanishing effective Higgs mass. Although the calculation involves only a simple model and is done for zero temperature, its results raise questions about the validity of the use of finite-temperature effective potentials to investigate the nature of phase transitions.

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