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PreprintCC BY 4.0arXiv

Renormalization, cutoff, and gluing for a quartic model with boundary

  • A. V. Ivanov
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Abstract

In this paper, we study the renormalization of a three-dimensional quartic model on a compact connected Riemannian manifold with a boundary. We show that, in addition to the standard shift of the mass parameter, it is necessary to take into account boundary contributions involving singular coefficients. This indicates the need to extend the classical action within the framework of standard renormalization theory. The requirements of consistency regarding the gluing of manifolds lead to renormalization of an operator on the boundary.

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Cite

BibTeXRIS
BibTeX
@misc{ivanov2026renormalization,
  title = {{Renormalization, cutoff, and gluing for a quartic model with boundary}},
  author = {A. V. Ivanov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.23069},
  eprint = {2608.23069},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.23069},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Renormalization, cutoff, and gluing for a quartic model with boundary
AU  - A. V. Ivanov
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2608.23069
UR  - https://arxiv.org/abs/2608.23069
AB  - In this paper, we study the renormalization of a three-dimensional quartic model on a compact connected Riemannian manifold with a boundary. We show that, in addition to the standard shift of the mass parameter, it is necessary to take into account boundary contributions involving singular coefficients. This indicates the need to extend the classical action within the framework of standard renormalization theory. The requirements of consistency regarding the gluing of manifolds lead to renormalization of an operator on the boundary.
ER  -