Deconfinement to Confinement as PT phase transition

Abstract

We consider SU(N) QCD in a new quadratic gauge which highlights certain characteristic of the theory in the non-perturbative sector. By considering natural hermiticity property of the ghost fields we cast this model as non-Hermtian but symmetric under combined Parity (P) and Time reversal (T) transformations. We explicitly study the PT phase transition in this model. This is very first such study in the non-Hermitian gauge theory. The ghost fields condensate as a direct consequence of spontaneous breaking of PT symmetry. This leads to realize the transition from deconfined phase to confined phase as a PT phase transition in this system. The hidden C- symmetry in this system is identified as inner automorphism in this theory. Explicit representation is constructed for the C-symmetry.

arXiv comment17, Pages, Revtex, Version to appear in Nuclear Physics B

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• Wilsonian approach to the interaction ${\varphi }^2(i\varphi {)}^{\epsilon }$
• Compact space and infrared behavior of the effective QCD
• Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory
• Quantum phase transitions and entanglement entropy in a non-Hermitian Jaynes-Cummings model
• Deconfinement to confinement by generalizing BRST symmetry on the sphere
• Emergence of Hermitian topology from non-Hermitian knots