Pith. sign in

REVIEW 2 cited by

Renormalisation and the Batalin-Vilkovisky formalism

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 0706.1533 v3 pith:YFXQSPUC submitted 2007-06-11 math.QA hep-th

Kevin J. Costello This is my paper · ORCID
classification math.QAhep-th
keywords theorychern-simonsbatalin-vilkoviskycertainformalismmanifoldsstructurealgebra
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

This paper gives a way to renormalise certain quantum field theories on compact manifolds. Examples include Yang-Mills theory (in dimension 4 only), Chern-Simons theory and holomorphic Chern-Simons theory. The method is within the framework of the Batalin-Vilkovisky formalism. Chern-Simons theory is renormalised in a way respecting all symmetries (up to homotopy). This yields an invariant of smooth manifolds: a certain algebraic structure on the cohomology of the manifold tensored with a Lie algebra, which is a "higher loop" enrichment of the natural Lie-infinity structure.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. The Batalin-Vilkovisky formalism in noncommutative effective field theory

    math.QA 2025-05 conditional novelty 6.0 of 10

    The paper establishes the BV quantization formalism for noncommutative effective field theories, proves compatibility of the quantum master equation with the renormalization group flow, and quantizes a noncommutative ...

  2. Rethinking quantum information in gravity and fields

    hep-th 2026-06 unverdicted novelty 2.0 of 10

    The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.

Pith tools