Quenched lattice QCD at finite isospin density and related theories

Abstract

We study quenched QCD at finite chemical potential, ${\mu }_I$, for the third component of isospin and quenched two-colour QCD at finite chemical potential, $\mu$, for quark number. In contrast to the quenched approximation to QCD at finite quark-number chemical potential, the quenched approximations to these theories behave similarly to the full theories. The reason is that these theories have real positive fermion determinants. In both of these theories there is some critical chemical potential above which the charge coupled to the chemical potential is spontaneously broken. In each case, the transition appears to be second order. We study the scaling properties near the critical point using scaling functions suggested by effective (chiral) Lagrangians and find evidence for scaling with mean-field critical exponents in each case. The subtleties associated with observing the critical scaling of these theories are discussed.

29 pages, 9 figures, RevTeX. Major revision to reflect new interpretation of critical scaling consistent with mean field in all cases. Extra data on larger lattices and at smaller lambdas reported

References in corpus (5)

• QCD at finite isospin density: from pion to quark-antiquark condensation
• Two-colour QCD at non-zero quark-number density
• Diquark Condensate in QCD with Two Colors at Next-to-Leading Order
• Diquark Condensation at Nonzero Chemical Potential and Temperature
• Lattice QCD at finite isospin density

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