Work

Unfolded Schwinger-Dyson hierarchy for vertex functions

Year: 2026
Type: preprint
Abstract: We propose a formulation of a quantum field theory within the framework of the unfolded dynamics approach, originally developed in higher-spin gauge theory. We construct an unfolded system that describes a hierarchy of Schwinger-Dyson equations for vertex functions of a scalar QFT in terms of unfolded first-order equations. A distinctive feature of the constructed system is the appearance of two additional evolution parameters responsible for the WKB and RG behaviors. As an illustration, a one-loop analysis of the theory with quartic self-interaction is carried out.
Language: English
Open Access status: green
OpenAlex ID: W7220397761
Cites: 61
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Related to: 10