Rayleigh-Ritz Variational Approximation and Symmetry Nonrestoration

Details Rayleigh-Ritz Variational Approximation and Symmetry Nonrestoration Rayleigh-Ritz Variational Approximation and Symmetry Nonrestoration

1996-10-06

arxiv.org/abs/hep-ph/9610262v1

Phys.Lett. B388 (1996) 776-782

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, LaTex. To be published in Physics Letters B

Scientific paper

10.1016/S0370-2693(96)01199-9

The investigation of symmetry nonrestoration scenarios has led to a controversy, with certain nonperturbative approximation schemes giving indications in sharp disagreement with those found within conventional perturbation theory. A Rayleigh-Ritz variational approach to the problem, which might be useful in bridging the gap between perturbative and nonperturbative viewpoints, is here proposed. As a first application, this approach is used in the investigation of a $Z_2 \times Z_2$-invariant thermal field theory with two scalar fields, placing particular emphasis on the region of parameter space that has been claimed to support symmetry nonrestoration.

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