Phase diagram of dynamical twisted-mass Wilson fermions at finite isospin chemical potential

We consider the phase diagram of twisted-mass Wilson fermions of two-flavor QCD in the parameter space of the quark mass, the isospin chemical potential, the twist angle and the lattice spacing. This work extends earlier studies in the continuum and those at zero chemical potential. We evaluate the...

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Bibliographic Details
Published in:Physical review. D 2016-05, Vol.93 (9), Article 094502
Main Authors: Janssen, Oliver, Kieburg, Mario, Splittorff, K., Verbaarschot, Jacobus J. M., Zafeiropoulos, Savvas
Format: Article
Language:English
Subjects:
Bosons
Chemical potential
Continuums
Cosmology
Fermions
Gravitation
High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Mathematical analysis
Phase diagrams
Physics
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Summary:We consider the phase diagram of twisted-mass Wilson fermions of two-flavor QCD in the parameter space of the quark mass, the isospin chemical potential, the twist angle and the lattice spacing. This work extends earlier studies in the continuum and those at zero chemical potential. We evaluate the phase diagram as well as the spectrum of the (pseudo-)Goldstone bosons using the chiral Lagrangian for twisted-mass Wilson fermions at nonzero isospin chemical potential. The phases are obtained from a mean field analysis. At zero twist angle we find that already an infinitesimal isospin chemical potential destroys the Aoki phase. The reason is that in this phase we have massless Goldstone bosons with a nonzero isospin charge. At finite twist angle, only two different phases are present-one phase which is continuously connected to the Bose condensed phase at nonzero chemical potential, and another phase which is continuously connected to the normal phase. For either zero or maximal twist, the phase diagram is more complicated, as the saddle-point equations allow for more solutions.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.93.094502