The Phase Diagram of the $U(2)\times U(2)$ Sigma Model

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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3 pages (Latex), 2 eps figures, uses espcrc2.sty, epsf, talk given at LATTICE97

Scientific paper

10.1016/S0920-5632(97)00837-2

We study the phase diagram of the $U(2) \times U(2)$ scalar model in $d=4$
dimensions. We find that the phase transition is of first order in most of the
parameter space. The theory can still be relevant to continuum physics (as an
effective theory) provided the transition is sufficiently weakly first order.
This places restrictions on the allowed coupling constants.

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