Parity breaking at high temperature and density

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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20 pages, 13 figures not included, sorry

Scientific paper

10.1016/0550-3213(93)90076-2

We investigate the question of parity breaking in three-dimensional Euclidean SU(2) gauge-Higgs theory by Monte Carlo simulations. We observe no sign of spontaneous parity breaking in the behaviour of both local and non-local gauge invariant operators. However, the presence of parity odd terms in the action can induce a phase transition to a parity odd ground state which is characterized by a Chern-Simons like condensate. The implications for various proposed scenarios of fermion number non-conservation is discussed.

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