Perturbative nonequilibrium thermal field theory

Non-perturbative Field Theory

In this talk we review recent developments which enable us to use techniques of integrable twodimensional quantum field theories to solve exactly four dimensional N=4 gauge theory through the use of the AdS/CFT correspondence. By ‘solve’ we mean here to find all anomalous dimensions of all operators of the theory for any value of the gauge coupling. We illustrate the methods with the case of th...

Perturbative Topological Field Theory

We give a review of the application of perturbative techniques to topologi-cal quantum eld theories, in particular three-dimensional Chern-Simons-Witten theory and its various generalizations. To this end we give an introduction to graph homology and homotopy algebras and the work of Vassiliev and Kontsevich on perturbative knot invariants.

Nonequilibrium dynamical mean-field theory.

The many-body formalism for dynamical mean-field theory is extended to treat nonequilibrium problems. We illustrate how the formalism works by examining the transient decay of the oscillating current that is driven by a large electric field turned on at time t=0. We show how the Bloch oscillations are quenched by the electron-electron interactions, and how their character changes dramatically f...

Nonequilibrium dynamical mean-field theory

String Field Theory and Perturbative Dynamics of Noncommutative Field Theory

The perturbative dynamics of noncommutative field theory (NCFT) is discussed from a point view of string field theory. As in the commutative case it is inevitable to introduce a closed string, which may be described as a bound state of two open strings. We point out that the closed string, interacting nontrivially with the open string, plays an essential role in the ultraviolet region. The cont...