Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-03-16
in Statistical Mechanics and Field Theory, eds. , V.V. Bazhanov and C.J. Burden, World Scientific, (Singapore 1995) , 26-128
Physics
High Energy Physics
High Energy Physics - Theory
94 pages in harvmac with 6 figures appended to the file, ITP-SB-94-07. (Several references have been added to part 2.)
Scientific paper
A four part series of lectures on the connection of statistical mechanics and quantum field theory. The general principles relating statistical mechanics and the path integral formulation of quantum field theory are presented in the first lecture. These principles are then illustrated in lecture 2 by a presentation of the theory of the Ising model for $H=0$, where both the homogeneous and randomly inhomogeneous models are treated and the scaling theory and the relation with Fredholm determinants and Painlev{\'e} equations is presented. In lecture 3 we consider the Ising model with $H\neq 0$, where the relation with gauge theory is used to discuss the phenomenon of confinement. We conclude in the last lecture with a discussion of quantum spin diffusion in one dimensional chains and a presentation of the chiral Potts model which illustrates the physical effects that can occur when the Euclidean and Minkowski regions are not connected by an analytic continuation. (To be published as part of the Proceedings of the Sixth Annual Theoretical Physics Summer School of the Australian National University which was held in Canberra during Jan. 1994.)
McCoy Barry M.
No associations
LandOfFree
The connection between statistical mechanics and quantum 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 The connection between statistical mechanics and quantum field theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The connection between statistical mechanics and quantum field theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-724553