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Thermodynamic Geometry of Yang–Mills Vacua

INFN-Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044 Frascati, Italy
Amity School of Applied Sciences, Amity University Haryana, Gurgaon 122413, India
University for Information Science and Technology, St. Paul the Apotle, 6000 Ohrid, Macedonia
Author to whom correspondence should be addressed.
Universe 2019, 5(4), 90;
Received: 14 December 2018 / Revised: 1 April 2019 / Accepted: 2 April 2019 / Published: 10 April 2019
PDF [541 KB, uploaded 10 April 2019]


We study vacuum fluctuation properties of an ensemble of S U ( N ) gauge theory configurations, in the limit of many colors, viz. N c , and explore the statistical nature of the topological susceptibility by analyzing its critical behavior at a non-zero-vacuum parameter θ and temperature T. We find that the system undergoes a vacuum phase transition at the chiral symmetry restoration temperature as well as at an absolute value of θ . On the other hand, the long-range correlation length solely depends on θ for the theories with critical exponent e = 2 or T = T d + 1 , where T d is the decoherence temperature. Furthermore, it is worth noticing that the unit-critical exponent vacuum configuration corresponds to a non-interacting statistical basis pertaining to a constant mass of η . View Full-Text
Keywords: thermodynamic geometry; fluctuation theory; phase transitions; topological susceptibility; QCD; large N gauge theory thermodynamic geometry; fluctuation theory; phase transitions; topological susceptibility; QCD; large N gauge theory

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Bellucci, S.; Tiwari, B.N. Thermodynamic Geometry of Yang–Mills Vacua. Universe 2019, 5, 90.

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