Deconfinement Transition for Quarks on a Line

✍ Scribed by C.R. Gattringer; L.D. Paniak; G.W. Semenoff

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 473 KB
• Volume: 256
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1997.5671

✦ Synopsis

We examine the statistical mechanics of a one-dimensional gas of both adjoint and fundamental representation quarks which interact with each other through (1+1)-dimensional U(N ) gauge fields. Using large-N expansion we show that, when the density of fundamental quarks is small, there is a first-order phase transition at a critical temperature and adjoint quark density which can be interpreted as deconfinement. When the fundamental quark density is comparable to the adjoint quark density, the phase transition becomes a third order one. We formulate a way to distinguish the phases by considering the expectation values of high winding number Polyakov loop operators.