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

Abstract

We consider $\mathcal{N}=(1,1)$ 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 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 ${T}_{H}$, 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, ${r}_{s\ensuremath{-}w}$, 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.