Spectrum and thermodynamic properties of two-dimensionalN=(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
2007 Physical Review D  
We consider N=(1,1) super Yang-Mills theory in 1+1 dimensions with fundamentals at large-N_c. 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-N_c limit there are two non-communicating sectors, the glueball sector, which we presented previously, and the meson-like sector that we present here. We find that the
more » ... ke sector dominates the thermodynamics. Like the glueball sector, the meson sector has a Hagedorn temperature T_H, 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 T_H. 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-w, for low temperatures grows quadratically with T. In addition, our data suggest that r_s-w tends to zero in the continuum limit at low temperatures.
doi:10.1103/physrevd.76.045008 fatcat:qo7sdawofzbw7cfx4qvzsbdipa