Continuous Cluster Expansion for Field Theories

Abstract

A new version of the cluster expansion is proposed without breaking the translation and rotation invariance. As an application of this technique, we construct the connected Schwinger functions of the regularized $\phi ^4$ theory in a continuous way.

Keywords

Constructive field theory / Cluster expansion / Translation and rotation invariance / Connected Schwinger function / 81T08

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RIGHTS & PERMISSIONS

School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature