Inverse Symmetry Breaking on the lattice: an accurate MC study

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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23 pages, 7 figures, Section 6 revised, in press on Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(99)00421-6

We present here a new MC study of ISB at finite temperature in a $Z_2\times Z_2$ $\lambda\phi^4$ model in four dimensions. The results of our simulations, even if not conclusive, are favourable to ISB. Detection of the effect required measuring some critical couplings with six-digits precision, a level of accuracy that could be achieved only by a careful use of FSS techniques. The gap equations for the Debye masses, resulting from the resummation of the ring diagrams, seem to provide a qualitatively correct description of the data, while the simple one-loop formulae appear to be inadequate.

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