Continuous Cluster Expansion for Field Theories

Fang-Jie Zhao

Communications in Mathematics and Statistics ›› 2025, Vol. 13 ›› Issue (4) : 931 -948.

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Communications in Mathematics and Statistics ›› 2025, Vol. 13 ›› Issue (4) : 931 -948. DOI: 10.1007/s40304-023-00346-6
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Continuous Cluster Expansion for Field Theories

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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.

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

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Fang-Jie Zhao. Continuous Cluster Expansion for Field Theories. Communications in Mathematics and Statistics, 2025, 13(4): 931-948 DOI:10.1007/s40304-023-00346-6

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

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