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- W2042161618 abstract "We study the restoration of global symmetries of lattice QCD at finite temperature and chemical potential for an arbitrary number of colors ${N}_{c}$ and flavors ${N}_{f}$. The Hamiltonian in the ${A}^{0}$ gauge has to be supplemented by the Gauss-law constraint that thermal excitations must satisfy. We study the problem in the strong-coupling limit and in a Bogoliubov approximation. The free energy to be minimized must be defined by traces over states restricted in the color-singlet Hilbert space at each lattice site. These restricted traces can be isolated by expressing general traces of a product of a unitary matrix scrU and a color-invariant operator (such as ${e}^{mathrm{ensuremath{-}}ensuremath{beta}(Hmathrm{ensuremath{-}}ensuremath{mu}N)}$ for the partition function) in terms of sums of products of characters of representations of SU(${N}_{c}$) and GL(4${N}_{f}$). We are able in this way to deduce the critical line for arbitrary ${N}_{c}$, ${N}_{f}$, a nontrivial generalization of a previous result for ${N}_{f}$=1. The critical temperature increases with ${N}_{c}$ due to Gauss's law, but decreases with the number of massless flavors ${N}_{f}$. .AE" @default.
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- W2042161618 date "1988-11-15" @default.
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- W2042161618 title "Hamiltonian lattice QCD at finite temperature and chemical potential. III. Critical curve of symmetry restoration for arbitrary number of colors and flavors" @default.
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- W2042161618 doi "https://doi.org/10.1103/physrevd.38.3256" @default.
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