Pith. Sign in

RECORD

Two-Loop Corrections to Large Order Behavior of $\varphi^4$ Theory

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Enrico M. Malatesta, Giorgio Parisi, Tommaso Rizzo

Statistical Mechanics · Submitted 14 Apr 2017

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We have computed the series of the free energy up to two-loop order in two and three dimension.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv ID1704.04458 (version 2)
Pith IDMR3FQ5IP, Pith's permanent record of this paper and its review
CitationEnrico M. Malatesta, Giorgio Parisi, Tommaso Rizzo. "Two-Loop Corrections to Large Order Behavior of $\varphi^4$ Theory." arXiv:1704.04458 (2017). https://pith.science/paper/MR3FQ5IP
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,251 input tokens.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.66 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.50 · compares with prior results 0.77 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We consider the large order behavior of the perturbative expansion of the scalar $\varphi^4$ field theory in terms of a perturbative expansion around an instanton solution. We have computed the series of the free energy up to two-loop order in two and three dimension. Topologically there is only an additional Feynman diagram with respect to the previously known one dimensional case, but a careful treatment of renormalization is needed. The propagator and Feynman diagrams were expressed in a form suitable for numerical evaluation. We then obtained explicit expressions summing over $O(10^3)$ distinct eigenvalues determined numerically with the corresponding eigenfunctions.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We consider the large order behavior of the perturbative expansion of the scalar $\varphi^4$ field theory in terms of a perturbative expansion around an instanton solution. contribution 0.52 0.56 0.07 asserted 0.79
s1 We have computed the series of the free energy up to two-loop order in two and three dimension. contribution 0.68 0.96 0.19 asserted 1.00
s2 Topologically there is only an additional Feynman diagram with respect to the previously known one dimensional case, but a careful treatment of renormalization is needed. contribution 0.22 0.46 0.09 asserted 1.00
s3 The propagator and Feynman diagrams were expressed in a form suitable for numerical evaluation. method 0.99 0.91 0.04 asserted 1.00
s4 We then obtained explicit expressions summing over $O(10^3)$ distinct eigenvalues determined numerically with the corresponding eigenfunctions. method 0.62 0.96 0.15 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from simulation or computation 0.85.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We consider the large order behavior of the perturbative expansion of the scalar $\varphi^4$ field theory in terms of a perturbative expansion around an instanton solution. We have computed the series of the free energy up to two-loop order in two and three dimension. Topologically there is only an additional Feynman diagram with respect to the previously known one dimensional case, but a careful treatment of renormalization is needed. The propagator and Feynman diagrams were expressed in a form suitable for numerical evaluation. We then obtained explicit expressions summing over $O(10^3)$ distinct eigenvalues determined numerically with the corresponding eigenfunctions.

Human review

How Pith checks papers → · Full audit of this paper →

References
How the literature uses it

1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.