FROM EUCLIDEAN FIELD THEORY TO QUANTUM FIELD THEORY

From euclidean field theory to quantum field theory

In order to construct examples for interacting quantum field theory models, the methods of euclidean field theory have turned out to be a powerful tools since they make use of the techniques of classical statistical mechanics. Starting from an appropriate set of euclidean 3⁄4 -point functions (Schwinger distributions), a Wightman theory can be reconstructed by an application of the famous Oster...

Euclidean Field Theory

In this review, we consider Euclidean field theory as a formulation of quantum field theory which lives in some Euclidean space, and is expressed in probabilistic terms. Methods arising from Euclidean field theory have been introduced in a very successful way in the study of the concrete models of Constructive Quantum Field Theory. Euclidean field theory was initiated by Schwinger [1] and Nakan...

Introduction to Quantum Field Theory

Axioms for Renormalization in Euclidean Quantum Field Theory

A set of axioms which fix Euclidean renormalizations up to a finite renormalization is proposed. There exists a one to one correspondence between Euclidean renormalizations and renormalizations in Minkowski space-time satisfying Hepp's axioms. No restrictions on masses are imposed.

Introduction to Quantum Field Theory

These notes are intended to supplement the lecture course ‘Field Theory in Condensed Matter’ and are not intended for wider distribution. Any errors or obvious omissions should be communicated to me at [email protected].