Finite Density Lattice Gauge Theories with Positive Fermion Determinants

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dc.creatorSinclair, D. K.
dc.creatorKogut, J. B.
dc.creatorToublan, D.
dc.date2003-11-11
dc.date2003-12-01
dc.date.accessioned2026-07-07T10:48:22Z
dc.date.available2026-07-07T10:48:22Z
dc.descriptionWe perform simulations of (3-colour) QCD with 2 quark flavours at a finite chemical potential $μ_I$ for isospin($I_3$), and of 2-colour QCD at a finite chemical potential $μ$ for quark number. At zero temperature, QCD at finite $μ_I$ has a mean-field phase transition at $μ_I=m_π$ to a superfluid state with a charged pion condensate which spontaneously breaks $I_3$. We study the finite temperature transition as a function of $μ_I$. For $μ_I < m_π$, where this is closely related to the transition at finite $μ$, this appears to be a crossover independent of quark mass, with no sign of the proposed critical endpoint. For $μ_I > m_π$ this becomes a true phase transition where the pion condensate evaporates. For $μ_I$ just above $m_π$ the transition seems to be second order, while for larger $μ_I$ it appears to become first order. At zero temperature, 2-colour QCD also possesses a superfluid state with a diquark condensate. We study its spectrum of Goldstone and pseudo-Goldstone bosons associated with chiral and quark-number symmetry breaking.
dc.description12 pages Latex/ptptex, 10 figures. Talk at Finite Density QCD, 2003, Nara Revised to add 2 references
dc.identifierhttps://arxiv.org/abs/hep-lat/0311019
dc.identifierhttp://arxiv.org/abs/hep-lat/0311019
dc.identifierProg.Theor.Phys.Suppl.153:40-50,2004
dc.identifierdoi:10.1143/PTPS.153.40
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183855
dc.subjectHigh Energy Physics - Lattice
dc.titleFinite Density Lattice Gauge Theories with Positive Fermion Determinants
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