Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 167

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Optimized perturbation theory at finite temperature

Open access
Chiku, S., Hatsuda, T.·1998·Physical Review D

Abstract

An optimized perturbation theory (OPT) at finite temperature $T,$ which resums higher order terms in the naive perturbation, is developed in $O(N) {\ensuremath{\varphi}}^{4}$ theory. It is proved that (i) the renormalization of the ultraviolet divergences can be carried out systematically in any given order of OPT and (ii) the Nambu-Goldstone theorem is satisfied for arbitrary $N$ and for any given order of OPT. The method is applied for the $O(4) \ensuremath{\sigma}$ model to study the soft modes associated with the chiral transition in quantum chromodynamics. Threshold enhancement of the spectral functions at finite $T$ in the scalar and pseudoscalar channels is shown to be a typical signal of the chiral transition.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevd.58.076001

Cites

3 of 3 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 3 references

Metadata

Authors
Chiku, S., & Hatsuda, T.
Venue
Physical Review D
Published
1998-08-20
Volume
58
Issue
7
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
OpenAlex
W2098388838
Cited by
167
References
3
FWCI
4.64
Type
journal article
Language
en
Open access
green

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Optimized perturbation theory at finite temperature. https://app.cochat.ai/papers/10.1103/physrevd.58.076001
The paper
Chiku, S., & Hatsuda, T. (1998). Optimized perturbation theory at finite temperature. Physical Review D. https://doi.org/10.1103/physrevd.58.076001

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.