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The 2n-point renormalized coupling constants in the 3d Ising model: estimates by high temperature series to order beta^17

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P. Butera, M. Comi (Phys. Dept. of Milano Univ.)

High Energy Physics - Lattice · Submitted 25 Mar 1997

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

The authors' main claim Our high temperature estimates of these quantities, which enter into the small field expansion of the effective potential for a 3d scalar field at the IR fixed point or, equivalently, in the critical equation of state of the 3d Ising model universality class, are compared with recent results obtained by renormalization group methods, strong coupling, stochastic simulations as well as previous high temperature expansions.

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arXiv IDhep-lat/9703017 (version 1)
Pith IDU6ZPALE3, Pith's permanent record of this paper and its review
CitationM. Comi (Phys. Dept. of Milano Univ.), P. Butera. "The 2n-point renormalized coupling constants in the 3d Ising model: estimates by high temperature series to order beta^17." arXiv:hep-lat/9703017 (1997). https://pith.science/paper/U6ZPALE3
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,485 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.98 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; .

We compute the 2n-point renormalized coupling constants in the symmetric phase of the 3d Ising model on the sc lattice in terms of the high temperature expansions O(beta^{17}) of the Fourier transformed 2n-point connected correlation functions at zero momentum. Our high temperature estimates of these quantities, which enter into the small field expansion of the effective potential for a 3d scalar field at the IR fixed point or, equivalently, in the critical equation of state of the 3d Ising model universality class, are compared with recent results obtained by renormalization group methods, strong coupling, stochastic simulations as well as previous high temperature expansions.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We compute the 2n-point renormalized coupling constants in the symmetric phase of the 3d Ising model on the sc lattice in terms of the high temperature expansions O(beta^{17}) of the Fourier transformed 2n-point connected correlation functions at zero momentum. contribution 0.88 0.97 0.22 asserted 1.00
s1 Our high temperature estimates of these quantities, which enter into the small field expansion of the effective potential for a 3d scalar field at the IR fixed point or, equivalently, in the critical equation of state of the 3d Ising model universality class, are compared with recent results obtained by renormalization group methods, strong coupling, stochastic simulations as well as previous high temperature expansions. contribution 0.46 0.88 0.33 asserted 0.98

What kind of paper the classifier reports this is: simulation study 0.80 · evidence from simulation or computation 0.99.

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Original abstract

We compute the 2n-point renormalized coupling constants in the symmetric phase of the 3d Ising model on the sc lattice in terms of the high temperature expansions O(beta^{17}) of the Fourier transformed 2n-point connected correlation functions at zero momentum. Our high temperature estimates of these quantities, which enter into the small field expansion of the effective potential for a 3d scalar field at the IR fixed point or, equivalently, in the critical equation of state of the 3d Ising model universality class, are compared with recent results obtained by renormalization group methods, strong coupling, stochastic simulations as well as previous high temperature expansions.

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