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Disconnected contributions to the magnetic polarisability of the neutral pion
High Energy Physics - Lattice · Submitted 20 Apr 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim A first investigation of these contractions in a background magnetic field is presented.
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The abstract, sentence by sentence
The magnetic polarisability of the neutral pion has been calculated using the background field method in lattice QCD. These early results do not consider the effect of the disconnected loop contractions arising from the breaking of charge symmetry in a background magnetic field. Recent work in chiral perturbation theory has shown that these quark-self-annihilation contractions provide the leading loop-order contributions to the magnetic polarisability. A first investigation of these contractions in a background magnetic field is presented.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The magnetic polarisability of the neutral pion has been calculated using the background field method in lattice QCD. | contribution 0.35 | 0.57 | 0.06 | asserted 1.00 |
| s1 | These early results do not consider the effect of the disconnected loop contractions arising from the breaking of charge symmetry in a background magnetic field. | gap 0.91 | 0.10 | 0.04 | asserted 1.00 |
| s2 | Recent work in chiral perturbation theory has shown that these quark-self-annihilation contractions provide the leading loop-order contributions to the magnetic polarisability. | background 0.96 | 0.04 | 0.19 | asserted 1.00 |
| s3 | A first investigation of these contractions in a background magnetic field is presented. | contribution 1.00 | 0.89 | 0.11 | asserted 0.98 |
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The paper
Original abstract
The magnetic polarisability of the neutral pion has been calculated using the background field method in lattice QCD. These early results do not consider the effect of the disconnected loop contractions arising from the breaking of charge symmetry in a background magnetic field. Recent work in chiral perturbation theory has shown that these quark-self-annihilation contractions provide the leading loop-order contributions to the magnetic polarisability. A first investigation of these contractions in a background magnetic field is presented.
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How the literature uses it
What this paper does with the arXiv papers it cites
What it cites · 28 sentences without a confident label
Uses the method or tool of 11 papers
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The BFC action uses a non-perturbatively improved clover coefficient for the QCD portion of the clover term and a tree-level coefficient for the portion deriving from the background field in order to remove the additive-mass renormalisation induced by the Wilson term [ref] .
Pion in a uniform background magnetic field with clover fermions · Simulation details · 0.99
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The BFC action uses a non-perturbatively improved clover coefficient for the QCD portion of the clover term and a tree-level coefficient for the portion deriving from the background field in order to remove the additive-mass renormalisation induced by the Wilson term [ref] .
Meson masses in electromagnetic fields with Wilson fermions · Simulation details · 0.99
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The disconnected propagators $Sx,x$ of eqn:Gpiz require a different method to conventional point-to-all propagators; here we use stochastic estimation of the matrix inverse [ref] .
Stochastic Estimation with $Z_2$ Noise · Propagator Methods · 1.00
Uses data or values from 2 papers
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We make use of the $2+1$ flavour dynamical QCD gauge configurations provided through the ILDG [ref] by the PACS-CS [ref] collaboration.
2+1 Flavor Lattice QCD toward the Physical Point · Simulation details · 0.96
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We make use of the $2+1$ flavour dynamical QCD gauge configurations provided through the ILDG [ref] by the PACS-CS [ref] collaboration.
Building the International Lattice Data Grid · Simulation details · 0.96
Cites as support 2 papers
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In this study we will focus on contractions which produce a charged pion dressing as these are expected to be the dominant contribution at one-loop order [ref] .
Chiral extrapolation of the magnetic polarizability of the neutral pion · Pion Polarisability · 0.96
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However, at leading loop order in the chiral expansion, there are no electroquenching errors [ref] .
Pion Polarizabilities and Volume Effects in Lattice QCD · Simulation details · 0.98
Cites as background 11 papers
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Pion polarisabilities have been studied in a variety of theoretical frameworks; including chiral perturbation theory [ref] , the linear $σ$ model [ref] and dispersion sum rules [ref] .
Dipole and quadrupole polarizabilities of the pion · Introduction · 1.00
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Pion polarisabilities have been studied in a variety of theoretical frameworks; including chiral perturbation theory [ref] , the linear $σ$ model [ref] and dispersion sum rules [ref] .
MO analysis of the high statistics Belle results on $\gamma\gamma\to \pi^+\pi^-,\pi^0\pi^0$ with chiral constraints · Introduction · 1.00
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Pion polarisabilities have been studied in a variety of theoretical frameworks; including chiral perturbation theory [ref] , the linear $σ$ model [ref] and dispersion sum rules [ref] .
Revisiting \gamma\gamma->\pi^+\pi^- at low energies · Introduction · 1.00
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