Strong-coupling Analysis of Parity Phase Structure in Staggered-Wilson Fermions
Tatsuhiro Misumi, Takashi Z. Nakano, Taro Kimura, Akira Ohnishi
TL;DR
This paper investigates the phase structure of staggered-Wilson fermions in lattice QCD at strong coupling, revealing a parity-broken phase and conditions for chiral limit tuning.
Contribution
It provides a strong-coupling analysis of staggered-Wilson fermions, demonstrating the existence of a parity-broken phase and the possibility of approaching the chiral limit.
Findings
Existence of a parity-broken phase with nonzero pion condensate.
Massless pions and PCAC relations near second-order phase boundary.
Chiral limit can be achieved by tuning the mass parameter.
Abstract
We study strong-coupling lattice QCD with staggered-Wilson fermions, with emphasis on discrete symmetries and possibility of their spontaneous breaking. We perform hopping parameter expansion and effective potential analyses in the strong-coupling limit. From gap equations we find nonzero pion condensate in some range of a mass parameter, which indicates existence of the parity-broken phase in lattice QCD with staggered-Wilson fermions. We also find massless pions and PCAC relations around second-order phase boundary. These results suggest that we can take a chiral limit by tuning a mass parameter in lattice QCD with staggered-Wilson fermions as with the Wilson fermion.
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