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A rigorous calculation of the Feynman and Wheeler Scalar Fields propagators in the ADS / CFT correspondence using distribution theory

by A. Plastino, M. C. Rocca

Submission summary

As Contributors: Mario Rocca
Arxiv Link: https://arxiv.org/abs/1811.03473v2
Date submitted: 2019-02-08
Submitted by: Rocca, Mario
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: High-Energy Physics - Theory

Abstract

By appeal to Distribution Theory we discuss in rigorous fashion, without appealing to {\bf any conjecture} (as usually done by other authors), the boundary-bulk propagators for the scalar field, both in the non-massive and massive cases. These calculations, new in the literature as far as we know, are carried out in two instances: (i) when the boundary is a Euclidean space and (ii) when it is of Minkowskian nature. In this last case we compute also three propagators: Feynman's, Anti-Feynman's, and Wheeler's (half advanced plus half retarded). For an operator corresponding to scalar field we obtain the two points correlations functions in the three instances above mentioned

Current status:
Publication decision taken: reject


Reports on this Submission

Anonymous Report 1 on 2019-4-2 Invited Report

Strengths

-

Weaknesses

1- The problem discussed has been already addressed in the literature in more depth than is attempted in the present article.

2- The relevant references are not cited, e.g.:
https://arxiv.org/abs/hep-th/9911182
https://arxiv.org/abs/hep-th/0212072
https://arxiv.org/abs/0805.0150
https://arxiv.org/abs/0812.2909

3- Renormalized 2-point functions are not considered. The unrenormalized 2-point functions are not well defined distributions at coincident points for all scalar masses.

4- Except for the introduction, the article is a compendium of fairly elementary calculations.

Report

Due to the reasons cited above, I deem this article unsuitable for publication.

Requested changes

-

  • validity: low
  • significance: low
  • originality: low
  • clarity: ok
  • formatting: below threshold
  • grammar: reasonable

Author Mario Rocca on 2019-04-17
(in reply to Report 1 on 2019-04-02)
Category:
remark

The referee wrote a very poor report that does not address the CONTENTS of our paper.

1- False assertions are made by the referee. For instance, the ADS/CFT Wheeler propagator for a scalar field has been NEVER before discussed in the Literature.

2- The referee gives references that are not related at all to our paper. For instance, the first of them refers to propagators for tensor fields. We deal only with scalar fields.

  • We do cite the main 15 papers on the subject.

  • We also cite Nastase's book.

3-The referee seems to ignore everything about distributions. For instance, he speaks about value of distribution at a point, which is nonsense.. In particular for two point correlation's functions, renormalized or not renormalized.

4- It seems that the referee has not bothered to read our paper in any detail.

Author Mario Rocca on 2019-05-10
(in reply to Report 1 on 2019-04-02)

The referee wrote a very poor report that does not address the CONTENTS of our paper.

1- False assertions are made by the referee. For instance, the ADS/CFT Wheeler propagator for a scalar field has been NEVER before discussed in the Literature.

2- The referee gives references that are not related at all to our paper. For instance, the first of them refers to propagators for tensor fields. We deal only with scalar fields.

  • We do cite the main 15 papers on the subject.

  • We also cite Nastase's book.

3-The referee seems to ignore everything about distributions. For instance, he speaks about value of distribution at a point, which is nonsense.. In particular for two point correlation's functions, renormalized or not renormalized.

4- It seems that the referee has not bothered to read our paper in any detail.

With all due respect, we request then a new, more adequate referee.with knowledge on Distribution's Theory.

Mario Rocca

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