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Quantum phase transitions and new scales in QCD-like theories · Around

2008

Quantum phase transitions and new scales in QCD-like theories

Unsal, Mithat

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It is commonly believed that in confining vector-like gauge theories the center and chiral symmetry realizations are parametrically entangled, and if phase transitions occur, they must take place around the strong scale $\Lambda^{-1}$ of the gauge theory.

We demonstrate that (non-thermal) vector-like theories formulated on ${\mathbb R}^{3} \times S^1$ where $S^1$ is a spatial circle exhibit new dynamical scales and new phenomena.
There are chiral phase transitions taking place at $\Lambda^{-1}/N_c$ in the absence of any change in center symmetry.
$\Lambda^{-1}/N_c$, invisible in (planar) perturbation theory, is also the scale where abelian versus non-abelian confinement regimes meet.

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