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PreprintCC BY 4.0arXiv

Unfolded Schwinger-Dyson hierarchy for vertex functions

  • Nikita Misuna
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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.

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Cite

BibTeXRIS
BibTeX
@misc{misuna2026unfolded,
  title = {{Unfolded Schwinger-Dyson hierarchy for vertex functions}},
  author = {Nikita Misuna},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03554},
  eprint = {2610.03554},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03554},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Unfolded Schwinger-Dyson hierarchy for vertex functions
AU  - Nikita Misuna
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03554
UR  - https://arxiv.org/abs/2610.03554
AB  - 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.
ER  -