Phase diagrams of a Higgs-Yukawa system with chirally invariant lattice fermion actions

Details Phase diagrams of a Higgs-Yukawa system with chirally invariant lattice fermion actions Phase diagrams of a Higgs-Yukawa system with chirally invariant lattice fermion actions

1993-09-17

arxiv.org/abs/hep-lat/9309010v2

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 4 PostScript figures (included), HARVMAC and EPSF, KYUSHU-HET-8. ( PostScript errors in figures are removed. )

Scientific paper

We study the phase structure of a $Z_2$ lattice Higgs-Yukawa system with different forms of chirally invariant lattice fermion actions: naive, two types of non-local actions, and a mirror fermion action. The calculations are performed in the variational mean field approximation with contribution of fermionic determinant being calculated in a ladder approximation. We demonstrate that the phase structure of the system crucially depends on the form of the lattice fermion action, despite the fact that the Higgs field couples to fermions in the same local way. A possibility of defining chiral gauge theories based on mirror fermion action is briefly discussed.

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