An all-order discontinuity at the electroweak phase transition

Laine M, Shaposhnikov M (1999)
Physics Letters B 463(2-4): 280-285.

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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) x U(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. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
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Laine M, Shaposhnikov M. An all-order discontinuity at the electroweak phase transition. Physics Letters B. 1999;463(2-4):280-285.
Laine, M., & Shaposhnikov, M. (1999). An all-order discontinuity at the electroweak phase transition. Physics Letters B, 463(2-4), 280-285.
Laine, M., and Shaposhnikov, M. (1999). An all-order discontinuity at the electroweak phase transition. Physics Letters B 463, 280-285.
Laine, M., & Shaposhnikov, M., 1999. An all-order discontinuity at the electroweak phase transition. Physics Letters B, 463(2-4), p 280-285.
M. Laine and M. Shaposhnikov, “An all-order discontinuity at the electroweak phase transition”, Physics Letters B, vol. 463, 1999, pp. 280-285.
Laine, M., Shaposhnikov, M.: An all-order discontinuity at the electroweak phase transition. Physics Letters B. 463, 280-285 (1999).
Laine, Mikko, and Shaposhnikov, M. “An all-order discontinuity at the electroweak phase transition”. Physics Letters B 463.2-4 (1999): 280-285.
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