2017/03/15 by Stefano Bellucci, Bellucci, Stefano, Bhupendra Nath Tiwari +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.1703.04871
26 pages, 9 figures. Keywords: Thermodynamic Geometry, Fluctuation Theory, Phase Transitions, Topological Susceptibility, QCD, Large $N$ Gauge Theory
arxiv created 2017/03/15 · arxiv updated 2017/03/16
We study vacuum fluctuation properties of an ensemble of SU(N) gauge theory configurations, in the limit of large number of colors, viz. Nc → ∞, and explore statistical nature of the topological susceptibility by analyzing its critical behavior at a nonzero 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 having critical exponent e=2 or T=Td+1, where Td is the decoherence temperature. Further, it is worth noticing that the unit critical exponent vacuum configuration corresponds to a noninteracting statistical basis pertaining to a constant mass of η′.