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High Energy Physics - Theory

arXiv:1805.02510 (hep-th)
[Submitted on 4 May 2018 (v1), last revised 20 Jul 2019 (this version, v2)]

Title:Deconfinement to Confinement as PT phase transition

Authors:Haresh Raval, Bhabani Prasad Mandal
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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.
Comments: 17, Pages, Revtex, Version to appear in Nuclear Physics B
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Physics (quant-ph)
Cite as: arXiv:1805.02510 [hep-th]
  (or arXiv:1805.02510v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.02510
Related DOI: https://doi.org/10.1016/j.nuclphysb.2019.114699

Submission history

From: Bhabani Prasad Mandal Prof. [view email]
[v1] Fri, 4 May 2018 06:20:44 UTC (12 KB)
[v2] Sat, 20 Jul 2019 04:09:44 UTC (13 KB)
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