Thursday, April 18, 2013

1304.4678 (E. T. Tomboulis)

Chiral symmetry restoration at large chemical potential in strongly
coupled SU(N) gauge theories
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E. T. Tomboulis
We show that at sufficiently large chemical potential SU(N) lattice gauge theories in the strong coupling limit with staggered fermions are in a chirally symmetric phase. The proof employs a polymer cluster expansion which exploits the anisotropy between timelike and spacelike directions in the presence of a quark chemical potential $\mu$. The expansion is shown to converge in the infinite volume limit at any temperature for sufficiently large $\mu$. All expectations of chirally non-invariant local fermion operators vanish identically, or, equivalently, their correlations cluster exponentially, within the expansion. The expansion itself may serve as a computational tool at large $\mu$ and strong coupling.
View original: http://arxiv.org/abs/1304.4678

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