Lattice QCD at finite isospin density at zero and finite temperature

By J. Kogut, D. Sinclair. 2002

144 citations recorded by the source corpus.

We simulate lattice QCD with dynamical $u$ and $d$ quarks at finite chemical potential, $\mu_I$, for the third component of isospin ($I_3$), at both zero and at finite temperature. At zero temperature there is some $\mu_I$, $\mu_c$ say, above which $I_3$ and parity are spontaneously broken by a charged pion condensate. This is in qualitative agreement with the prediction of effective (chiral) Lagrangians which also predict $\mu_c=m_\pi$. This transition appears to be second order, with scaling properties consistent with the mean-field predictions of such effective Lagrangian models. We have also studied the restoration of $I_3$ symmetry at high temperature for $\mu_I > \mu_c$. For $\mu_I$ sufficiently large, this finite temperature phase transition appears to be first order. As $\mu_I$ is decreased it becomes second order connecting continuously with the zero temperature transition.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7b64dfa449c11137609a56b1885334db4ae61543

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In Nuclear and High Energy Physics

Citations in the corpus

Flavor superconductivity from gauge/gravity duality (2009, result): “For pions, similar results have been found within QCD: There are analytical results for small and very large isospin chemical potential using the chiral Lagrangian [40, 41], as well as lattice results [42].”