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

John R. Hiller, Stephen Pinsky, Yiannis Proestos, Nathan Salwen, Uwe Trittmann

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15 Scopus citations

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, rs-w, for low temperatures grows quadratically with T. In addition, our data suggest that rs-w tends to zero in the continuum limit at low temperatures.

Original languageEnglish (US)
Article number045008
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume76
Issue number4
DOIs
StatePublished - Aug 16 2007

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