2006/10/24 by Pallab Basu, Bobby Ezhuthachan, Spenta R. Wadia
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Deconfinement #Equations of motion #Fermion #Gauge theory #Lattice gauge theory #Mathematical physics #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/01/003
published as JHEP 0701:003,2007 · 26+1 pages, 10 figures
arxiv created 2006/10/24 · openalex publication_date 2007/01/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss finite regions of the deconfining phase of a confining gauge theory (plasma balls/kinks) as solitons of the large N, long wavelength, effective Lagrangian of the thermal gauge theory expressed in terms of suitable order parameters. We consider a class of confining gauge theories whose effective Lagrangian turns out to be a generic 1 dim. unitary matrix model. The dynamics of this matrix model can be studied by an exact mapping to a non-relativistic many fermion problem on a circle. We present an approximate solution to the equations of motion which corresponds to the motion (in Euclidean time) of the Fermi surface interpolating between the phase where the fermions are uniformly distributed on the circle (confinement phase) and the phase where the fermion distribution has a gap on the circle (deconfinement phase). We later self-consistently verify that the approximation is a good one. We discuss some properties and implications of the solution including the surface tension which turns out to be positive. As a by product of our investigation we point out the problem of obtaining time dependent solutions in the collective field theory formalism due to generic shock formation.