# Continuous Cluster Expansion for Field Theories

## TL;DR

This paper introduces a novel, invariant cluster expansion method and applies it to construct connected Schwinger functions for regularized b4^4b4 field theory in a continuous manner.

## Contribution

It presents a new invariant cluster expansion technique and demonstrates its application to continuous construction of Schwinger functions in b4^4b4 theory.

## Key findings

- Invariant cluster expansion without breaking symmetries
- Construction of connected Schwinger functions in a continuous setting
- Application to regularized b4^4b4 field theory

## 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.