High Energy Physics - Phenomenology · arXiv:hep-ph/0412322 v2 · submitted 21 Dec 2004
Spatial 't Hooft loop to cubic order in hot QCD II
The paper says
“In this paper we provide an exact formula for the area law of the 't Hooft loop for any SU(N) gauge group to cubic order in hot gauge theory.”
from the abstract · picked out as the main claim by a classifier
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Abstract
In this paper we provide an exact formula for the area law of the 't Hooft loop for any SU(N) gauge group to cubic order in hot gauge theory. The correction is very small for all temperatures above Tc, in stark contrast to the cubic correction to the pressure. The gradient approximation in a previous paper, only valid for large N, is in excellent agreement with the present, exact evalution. Comparison to lattice data is good. Casimir scaling is violated by a small amount not yet resolved by the precision of lattice data.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.83 · human participants 0.01 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.18 · compares with prior results 0.98 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| In this paper we provide an exact formula for the area law of the 't Hooft loop for any SU(N) gauge group to cubic order in hot gauge theory. | contribution 0.85 | 0.96 | 0.88 | asserted 1.00 |
| The correction is very small for all temperatures above $T_c$, in stark contrast to the cubic correction to the pressure. | result 0.80 | 0.85 | 0.16 | asserted 1.00 |
| The gradient approximation in a previous paper, only valid for large N, is in excellent agreement with the present, exact evalution. | result 0.83 | 0.51 | 0.05 | asserted 1.00 |
| Comparison to lattice data is good. | result 0.99 | 0.82 | 0.05 | asserted 1.00 |
| Casimir scaling is violated by a small amount not yet resolved by the precision of lattice data. | result 0.89 | 0.73 | 0.05 | asserted 0.95 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
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
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,140 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
- Two-loop QCD gauge coupling at high temperatures hep-ph · Mar 2005
How the literature uses it
5 arXiv papers cite this in 13 sentences
Papers citing it · 10 sentences without a confident label
Cites it as background 3 papers
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There are also order-order interface tensions [ref] , which are directly related to the 't Hooft loops for $Z(N)$ charges [ref] .
Zero interface tension at the deconfining phase transition for a matrix model of a $SU(\infty)$ gauge theory · Introduction · 0.93
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In the Lagrangian formalism, the holonomous potential for the eigenvalues of the thermal Wilson line is familiar, and computed by expanding about a constant, background field $A_0 ≠0$ [ref] .
Wilson loops in the Hamiltonian formalism · Introduction · 0.95
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This leaves the most interesting region, from the transition temperature to a few times that [ref] .
Effective models of a semi-quark gluon plasma · Introduction · 0.91
Challenges and discussion
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