Finite Temperature Field Theory and Phase Transitions
Abstract
We review different aspects of field theory at zero and finite temperature, related to the theory of phase transitions. We discuss different renormalization conditions for the effective potential at zero temperature, emphasizing in particular the MSbar renormalization scheme. Finite temperature field theory is discussed in the real and imaginary time formalisms, showing their equivalence in simple examples. Bubble nucleation by thermal tunneling, and the subsequent development of the phase transition is described in some detail. Some attention is also devoted to the breakdown of the perturbative expansion and the infrared problem in the finite temperature field theory. Finally the application to baryogenesis at the electroweak phase transition is done in the Standard Model and in the Minimal Supersymmetric Standard Model. In all cases we have translated the condition of not washing out any previously generated baryon asymmetry by upper bounds on the Higgs mass.
 Publication:

High Energy Physics and Cosmology, 1998 Summer School
 Pub Date:
 1999
 DOI:
 10.48550/arXiv.hepph/9901312
 arXiv:
 arXiv:hepph/9901312
 Bibcode:
 1999hepc.conf..187Q
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 73 pages, 9 figures. Based on lectures given at the Summer School in High Energy Physics and Cosmology, ICTP, Trieste (Italy) 29 June17 July 1998