3D Physics and the Electroweak Phase Transition: Perturbation Theory and Lattice Monte Carlo Analysis

  • K. Kajantie
  • M. Shaposhnikov
Part of the NATO ASI Series book series (NSSB, volume 338)

Abstract

We know the Lagrangian of the SU(3)×SU(2)×U(l) standard model (SM) and, therefore, also the equilibrium thermodynamics of the quantum system with the spectrum of the SM: it is given by the functional integral
$${e^{ - F/T}} = \int {D\Phi {\mkern 1mu} \exp \left[ { - \frac{1}{\hbar }\int_0^{\beta \hbar } {d\tau } \int {{d^3}} x\pounds\left( {\Phi \left( {\tau ,{\text{x}}} \right)} \right)} \right],}$$
(1)
where the symbol Φ denotes generically all the fields of the SM. In a sense the problem of the electroweak (EW) phase transition thus is trivial: just calculate the above functional integral to give the free energy F and all the thermodynamics.

Keywords

Dine 

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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • K. Kajantie
    • 1
  • M. Shaposhnikov
    • 2
  1. 1.Department of Theoretical PhysicsUniversity of HelsinkiFinland
  2. 2.CERN/THGeneve 23Switzerland

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