2014/11/10 by Nikhil Karthik, Rajamani Narayanan
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Combinatorics #Computer science #Crossover #Dimension (graph theory) #Geometry #Limiting #Mathematical physics #Mathematics #Order (exchange) #Physics #Quantum Chromodynamics and Particle Interactions #State (computer science) #Theoretical and Computational Physics #Torus #Zero (linguistics) #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.90.125010
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 90(12) (American Physical Society) · 11 pages, 7 figures
arxiv created 2014/11/10 · openalex publication_date 2014/12/15 · arxiv updated 2014/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 crossover scale that separates the system on a large circle from a system on a small circle at any finite temperature. The crossover scale approaches zero with increasing N and the crossover becomes a first-order transition as N\ensuremath→\ensuremath∞ and l\ensuremath→0 with the limiting value of \frac2Pl(N\ensuremath-1)t depending on the fixed value of Nl.