An all-order discontinuity at the electroweak phase transition

Details An all-order discontinuity at the electroweak phase transition An all-order discontinuity at the electroweak phase transition

1999-07-27

arxiv.org/abs/hep-th/9907194v2

Phys.Lett. B463 (1999) 280-285

Physics

High Energy Physics

High Energy Physics - Theory

9 pages; misprint corrected, reference and small clarifications added; to appear in Phys.Lett.B

Scientific paper

10.1016/S0370-2693(99)01014-X

We define a non-local gauge-invariant Green's function which can distinguish between the symmetric (confinement) and broken (Higgs) phases of the hot SU(2)xU(1) electroweak theory to all orders in the perturbative expansion. It is related to the coupling of the Chern-Simons number to a massless Abelian gauge field. The result implies either that there is a way to distinguish between the phases, even though the macroscopic thermodynamical properties of the system have been observed to be smoothly connected, or that the perturbative Coleman-Hill theorem on which the argument is based, is circumvented by non-perturbative effects. We point out that this question could in principle be studied with three-dimensional lattice simulations.

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