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BV Formalism and Partition Functions

by Pietro Antonio Grassi, Ondrej Hulik

Submission summary

Authors (as registered SciPost users): Pietro Grassi
Submission information
Preprint Link: scipost_202504_00041v1  (pdf)
Date accepted: May 15, 2025
Date submitted: April 26, 2025, 7:31 p.m.
Submitted by: Grassi, Pietro
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

The BV formalism is a well-established method for analyzing symmetries and quantizing field theories. In this paper, we use BV formalism to derive partition functions and the space of gauge invariant operators implementing the equations of motions and their redundancies for selected theories. We discuss various interpretations of the results, some dualities, and relation to the first quantized models.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

Author comments upon resubmission

We resubmit the revised version of the manuscript. We fulfill all suggestions of the referee together with a complete English checking and
grammatical rephrasing when needed.

List of changes

We want to thank the referee for valuable comments and suggestions.
We have made a complete rechecking and proofreading of the paper.
We apologize for the low English level and hope we have adopted a better and more proper writing style.
We comply with all the referee's suggestions.

We improved the abstract as suggested by the referee, and we provided a rewording of the abstract.
We change from "weights" to "powers" where needed.
We amended the mistakes pointed out in points 4 and 5
We added a small section as a warm-up exercise for the scalar fields.

We want to thank the referee for the final considerations of the report regarding the missing duality of the BV complexes. We agree with the comment, and it would be very nice to understand the origin of the missing duality from a purely BV point of view in the case of self-dual fields.

Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)


Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2025-5-11 (Invited Report)

Report

I submitted a detailed report with the previous version of the paper. In the new version, readability is improved and typos are corrected. It is very useful to have the scalar field discussed as a warm-up example in section 3. Overall, it is a very interesting paper that absolutely should be published.

Recommendation

Publish (surpasses expectations and criteria for this Journal; among top 10%)

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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