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arXiv · 1411.2477

The equation of state of two dimensional Yang-Mills theory

Nikhil Karthik·Rajamani Narayanan
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Abstract

We study the pressure, $P$, of SU($N$) gauge theory on a two-dimensional torus as a function of area, $A=l/t$. We find a cross-over scale that separates the system on a large circle from a system on a small circle at any finite temperature. The cross-over scale approaches zero with increasing $N$ and the cross-over becomes a first order transition as $N\to\infty$ and $l\to 0$ with the limiting value of $2Pl/(N-1)t$ depending on the fixed value of $Nl$.

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Nikhil Karthik, Rajamani Narayanan. 2014-11-10. The equation of state of two dimensional Yang-Mills theory. https://doi.org/10.1103/physrevd.90.125010

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