Pith. sign in

REVIEW 1 cited by

Two-dimensional perturbative scalar QFT and Atiyah-Segal gluing

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1912.11202 v3 pith:RFJHFJDF submitted 2019-12-24 math-ph hep-thmath.MP

Santosh Kandel , Pavel Mnev , Konstantin Wernli This is my paper · ORCID
classification math-phhep-thmath.MP
keywords atiyah-segalgluingperturbativefieldprovescalartheorybehave
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We study the perturbative quantization of 2-dimensional massive scalar field theory with polynomial (or power series) potential on manifolds with boundary. We prove that it fits into the functorial quantum field theory framework of Atiyah-Segal. In particular, we prove that the perturbative partition function defined in terms of integrals over configuration spaces of points on the surface satisfies an Atiyah-Segal type gluing formula. Tadpoles (short loops) behave nontrivially under gluing and play a crucial role in the result.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Neumann scalar determinants on constant curvature disks

    hep-th 2025-07 conditional novelty 6.0 of 10

    Neumann determinants of the massive Laplacian on constant curvature disks are expressed as convergent infinite series, with exact special-mass reductions for m^2 = -η/L^2 q(q+1).

Pith tools