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The equation of state in two-, three-, and four-color QCD at non-zero temperature and density

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arxiv 1412.6712 v1 pith:JBBUK2NE submitted 2014-12-21 hep-ph hep-latnucl-th

The equation of state in two-, three-, and four-color QCD at non-zero temperature and density

classification hep-ph hep-latnucl-th
keywords resultstemperatureequationfour-colornon-zerostatezeroantisymmetric
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the equation of state at non-zero temperature and density from first principles in two-, three- and four-color QCD with two fermion flavors in the fundamental and two-index, antisymmetric representation. By matching low-energy results (from a `hadron resonance gas') to high-energy results from (resummed) perturbative QCD, we obtain results for the pressure and trace anomaly that are in quantitative agreement with full lattice-QCD studies for three colors at zero chemical potential. Our results for non-zero chemical potential at zero temperature constitute predictions for the equation of state in QCD-like theories that can be tested by traditional lattice studies for two-color QCD with two fundamental fermions and four-color QCD with two two-index, antisymmetric fermions. We find that the speed of sound squared at zero temperature can exceed one third, which may be relevant for the phenomenology of high-mass neutron stars.

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    A medium-separated NJL model reproduces the lattice-observed peak in the speed of sound for two-color dense QCD, where conventional cutoff regularization fails.