Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-08-30
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, 16 figures, latex, uses bezier.sty
Scientific paper
We consider an interaction representation in the Boltzmann field theory. It describes the master field for a subclass of planar diagrams in matrix models, so called half-planar diagrams. This interaction representation was found in the previous paper by Accardi, Volovich and one of us (I.A.) and it has an unusual property that one deals with a rational function of the interaction Lagrangian instead of the ordinary exponential function. Here we study the interaction representation in more details and show that under natural assumptions this representation is in fact unique. We demonstrate that corresponding Schwinger-Dyson equations lead to a closed set of integral equations for two- and four-point correlation functions. Renormalization of the model is performed and renormalization group equations are obtained. Some model examples with discrete number of degrees of freedom are solved numerically. The solution for one degree of freedom is compared with the planar approximation for one matrix model. For large variety of coupling constant it reproduces the planar approximation with good accuracy.
Arefeva Ya. I.
Zubarev Alexander P.
No associations
LandOfFree
Interaction Representation in Boltzmann Field Theory 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 Interaction Representation in Boltzmann Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interaction Representation in Boltzmann Field Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-81910