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Thermodynamic Geometry of Yang–Mills Vacua

1
INFN-Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044 Frascati, Italy
2
Amity School of Applied Sciences, Amity University Haryana, Gurgaon 122413, India
3
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; https://doi.org/10.3390/universe5040090
Received: 14 December 2018 / Revised: 1 April 2019 / Accepted: 2 April 2019 / Published: 10 April 2019
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Abstract

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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