Quantum phase transition of high dimensional Yang-Mills theories
Nikos Irges, George Koutsoumbas, Konstantinos Ntrekis
TL;DR
This paper investigates the critical coupling values for quantum phase transitions in high-dimensional lattice SU(2) Yang-Mills theories, using mean-field and Monte Carlo methods across dimensions 5 to 8.
Contribution
It provides an approximate law for the critical coupling in any dimension and extends Monte Carlo analysis to dimensions 6, 7, and 8.
Findings
Critical coupling values for dimensions 6, 7, 8 determined
Mean-Field approach yields a universal approximate law
Monte Carlo results support the theoretical predictions
Abstract
We determine the critical value of the coupling where the first order quantum phase transition takes place for lattice SU(2) Yang-Mills theories in dimensions higher than four. Within a Mean-Field approach we derive an approximate law valid for any dimension d and in the context of a Monte Carlo approach, in addition to the already known d=5 case, we look at d=6,7,8.
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