Weak coupling large-N transitions at finite baryon density

作者：Hollowood Timothy J^*; Kumar S Prem; Myers Joyce C

来源：The Journal of High Energy Physics, 2011, 2011(11): 138.

DOI：10.1007/JHEP11(2011)138

• Matrix Models
• 1/N Expansion
• AdS-CFT Correspondence
• Thermal Field Theory

We study thermodynamics of free SU(N) gauge theory with a large number of colours and flavours on a three-sphere, in the presence of a baryon number chemical potential. Reducing the system to a holomorphic large-N matrix integral, paying specific attention to theories with scalar flavours (squarks), we identify novel third-order deconfining phase transitions as a function of the chemical potential. These transitions in the complex large-N saddle point configurations are interpreted as "melting" of baryons into (s) quarks. They are triggered by the exponentially large (similar to e(N)) degeneracy of light baryon-like states, which include ordinary baryons, adjoint-baryons and baryons made from different spherical harmonics of flavour fields on the three-sphere. The phase diagram of theories with scalar flavours terminates at a phase boundary where baryon number diverges, representing the onset of Bose condensation of squarks.

• 出版日期2011-11