Parity breaking at high temperature and density
J. Ambj{\o}rn, K. Farakos, M. E. Shaposhnikov
TL;DR
This study uses Monte Carlo simulations to explore parity symmetry in a 3D SU(2) gauge-Higgs model, finding no spontaneous breaking but noting that certain terms can induce a parity-odd phase with a Chern-Simons condensate.
Contribution
It provides the first Monte Carlo analysis of parity breaking in 3D gauge-Higgs theory, highlighting the role of parity odd terms in phase transitions.
Findings
No spontaneous parity breaking observed in gauge-invariant operators
Parity odd terms can induce a phase transition to a parity odd ground state
Presence of a Chern-Simons like condensate in certain conditions
Abstract
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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