Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-11-11
Prog.Theor.Phys.Suppl.153:40-50,2004
Physics
High Energy Physics
High Energy Physics - Lattice
12 pages Latex/ptptex, 10 figures. Talk at Finite Density QCD, 2003, Nara Revised to add 2 references
Scientific paper
10.1143/PTPS.153.40
We perform simulations of (3-colour) QCD with 2 quark flavours at a finite chemical potential $\mu_I$ for isospin($I_3$), and of 2-colour QCD at a finite chemical potential $\mu$ for quark number. At zero temperature, QCD at finite $\mu_I$ has a mean-field phase transition at $\mu_I=m_\pi$ to a superfluid state with a charged pion condensate which spontaneously breaks $I_3$. We study the finite temperature transition as a function of $\mu_I$. For $\mu_I < m_\pi$, where this is closely related to the transition at finite $\mu$, this appears to be a crossover independent of quark mass, with no sign of the proposed critical endpoint. For $\mu_I > m_\pi$ this becomes a true phase transition where the pion condensate evaporates. For $\mu_I$ just above $m_\pi$ the transition seems to be second order, while for larger $\mu_I$ 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.
Kogut John B.
Sinclair D. K.
Toublan Dominique
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