Pith. sign in

REVIEW 1 cited by

Dynkin operators, renormalization and the geometric $\beta$ function

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 1211.4466 v1 pith:KZ5JLRLB submitted 2012-11-19 math-ph hep-thmath.DSmath.MP

Susama Agarwala This is my paper · ORCID
classification math-phhep-thmath.DSmath.MP
keywords dynkinbetadefineddefinesfieldfunctiongeometricoperator
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

In this paper, I show a close connection between renormalization and a generalization of the Dynkin operator in terms of logarithmic derivations. The geometric $\beta$ function, which describes the dependence of a Quantum Field Theory on an energy scale defines is defined by a complete vector field on a Lie group $G$ defined by a QFT. It also defines a generalized Dynkin operator.

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. Some very low-dimensional algebraic topology

    math.AT 2024-11 unverdicted novelty 4.0 of 10

    Proposes that the group completion of planar configuration spaces, equivalent to ΩS^2, is a moduli space whose Jordan-curve states encode renormalized Feynman integrals as residues.

Pith tools