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arXiv · hep-ph/9512323

$Z_3$ Twisted Chiral Condensates in QCD at Finite Temperatures

Shailesh Chandrasekharan·Suzhou Huang
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Abstract

It was recently observed in a lattice QCD measurement that the chiral condensate in the quenched approximation shows dramatically different behavior in the three $Z_3$-equivalent de-confined phases. We argue that this phenomenon can be understood qualitatively as an effect of $Z_3$ twists on fermionic fields. Quarks under these $Z_3$-twists become global anyons and hence display different thermodynamic properties. We further show that the lattice data can be roughly modeled by a Nambu-Jona-Lasinio type Lagrangian with a minimal coupling to a constant gauge field $A_0=2πnT/3$ (with $n=0$, $\pm1$), which arises naturally from the non-trivial phase of the Polyakov line.

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Shailesh Chandrasekharan, Suzhou Huang. 1995-12-18. $Z_3$ Twisted Chiral Condensates in QCD at Finite Temperatures. https://doi.org/10.1103/physrevd.53.5100

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