Sphalerons and instantons at finite temperature

Details Sphalerons and instantons at finite temperature Sphalerons and instantons at finite temperature

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvl..60.1902a&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 60, May 9, 1988, p. 1902-1905.

Mathematics

Probability

15

Baryons, Big Bang Cosmology, Weak Interactions (Field Theory), Gauge Theory, Particle Mass, Variational Principles

Scientific paper

A time-dependent variational Ansatz is presented and used to display the transition from instanton-dominated quantum-mechanical tunneling between vacua to the thermal-dominated Boltzmann transition over the sphaleron barrier. It is found that the transition probability is given by the Boltzmann form down to a temperature below which there is a sudden transition to the rate dictated by the SU(2) instanton. The role of the quartic Higgs boson coupling in the determination of the availability of a temperature gap for tunneling is discussed.

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