Finite temperature quantum field theory in the functional Schrödinger picture

Finite Temperature Quantum Field Theory with Impurities

We apply the concept of reflection-transmission (RT) algebra, originally developed in the context of integrable systems in 1+1 space-time dimensions, to the study of finite temperature quantum field theory with impurities in higher dimensions. We consider a scalar field in (s + 1) + 1 space-time dimensions, interacting with impurities localized on s-dimensional hyperplanes, but without self-int...

Quantum Field Theory in the Heisenberg Picture

Quantum Field Theory at Finite Temperature: an Introduction

In these notes we review some properties of Statistical Quantum Field Theory at equilibrium, i.e Quantum Field Theory at finite temperature. We explain the relation between finite temperature quantum field theory in (d, 1) dimensions and statistical classical field theory in d + 1 dimensions. This identification allows to analyze the finite temperature QFT in terms of the renormalization group ...

Finite temperature many-particle theory of condensed matter systems in the functional Schrödinger picture

A finite temperature many-particle theory of condensed matter systems is formulated using the functional Schrödinger picture. Using the interacting electron gas as a model system, we solve the equation of motion for the density matrix variationally with a Gaussian type trial density matrix. We show that the present formalism yields the finite temperature Hartree-Fock results both for the paraan...

Medley in finite temperature field theory

I discuss three subjects in thermal field theory: why in SU(N) gauge theories the Z(N) symmetry is broken at high (instead of low) temperature, the possible singularity structure of gauge variant propagators, and the problem of how to compute the viscosity from the Kubo formula. Based on an invited talk presented at the Workshop on Hot QCD held at the Winnipeg Institute for Theoretical Physics,...