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Spectrum and thermodynamic properties of two-dimensionalN=(1,1)super Yang-Mills theory with fundamental matter and a Chern-Simons term

2007/02/09 by John R. Hiller, Stephen Pinsky, Stephen S. Pinsky +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.76.045008

published as Phys.Rev.D76:045008,2007 · 34 pp

arxiv created 2007/02/09 · openalex publication_date 2007/08/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We consider N=(1,1) super Yang-Mills theory in 1+1 dimensions with fundamentals at large Nc. A Chern-Simons term is included to give mass to the adjoint partons. Using the spectrum of the theory, we calculate thermodynamic properties of the system as a function of the temperature and the Yang-Mills coupling. In the large-Nc limit there are two noncommunicating sectors, the glueball sector, which we presented previously, and the mesonlike sector that we present here. We find that the mesonlike sector dominates the thermodynamics. Like the glueball sector, the meson sector has a Hagedorn temperature TH, and we show that the Hagedorn temperature grows with the coupling. We calculate the temperature and coupling dependence of the free energy for temperatures below TH. As expected, the free energy for weak coupling and low temperature grows quadratically with the temperature. Also the ratio of the free energies at strong coupling compared to weak coupling, r_s\ensuremath-w, for low temperatures grows quadratically with T. In addition, our data suggest that r_s\ensuremath-w tends to zero in the continuum limit at low temperatures.

Citations