Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-24
JHEP 0701:003,2007
Physics
High Energy Physics
High Energy Physics - Theory
26+1 pages, 10 figures
Scientific paper
10.1088/1126-6708/2007/01/003
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.
Basu Pallab
Ezhuthachan Bobby
Wadia Spenta R.
No associations
LandOfFree
Plasma balls/kinks as solitons of large $N$ confining gauge theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Plasma balls/kinks as solitons of large $N$ confining gauge theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Plasma balls/kinks as solitons of large $N$ confining gauge theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-343893