High Energy Physics - Lattice · arXiv:hep-lat/0311003 v1 · submitted 3 Nov 2003
I=2 ππ scattering using G-parity boundary condition
The paper says
“With this, we calculate the I=2 ππ phase shift from lattice simulation by using Lüscher's formula.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
To make the ππ state with non-zero relative momentum as the leading exponential, we impose anti-periodic boundary condition on the pion, which is implemented by imposing G-parity or H-parity on the quark fields at the boundary. With this, we calculate the I=2 ππ phase shift from lattice simulation by using Lüscher's formula.
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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 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.05 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| To make the $\pi\pi$ state with non-zero relative momentum as the leading exponential, we impose anti-periodic boundary condition on the pion, which is implemented by imposing G-parity or H-parity on the quark fields at the boundary. | method 0.99 | 0.68 | 0.06 | asserted 0.99 |
| With this, we calculate the I=2 $\pi\pi$ phase shift from lattice simulation by using L\"uscher's formula. | method 0.50 | 0.93 | 0.45 | asserted 1.00 |
What kind of paper the classifier reports this is: simulation study 0.99 · evidence from simulation or computation 1.00
What was examined, and what was not
Sources read
- arXiv listing abstract v1
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- 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, 2,332 input tokens, $0.0001 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 10 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- The $K\to(\pi\pi)_{I=2}$ Decay Amplitude from Lattice QCD hep-lat · Nov 2011
- $K$ to $\pi\pi$ Decay amplitudes from Lattice QCD hep-lat · Jun 2011
- I=2 $\pi\pi$ Scattering Phase Shift with two Flavors of $O(a)$ Improved Dynamical Quarks hep-lat · Feb 2004
- Direct determinations of the nucleon and pion $\sigma$ terms at nearly physical quark masses hep-lat · Mar 2016
- Emerging understanding of the \Delta I = 1/2 Rule from Lattice QCD hep-lat · Dec 2012
- Lattice determination of the $K \to (\pi\pi)_{I=2}$ Decay Amplitude $A_2$ hep-lat · Jun 2012
- Continuum Limit of $B_K$ from 2+1 Flavor Domain Wall QCD hep-lat · Dec 2010
- Finite-Volume Effects for Two-Hadron States in Moving Frames hep-lat · Jul 2005
- Constant contribution in meson correlators at finite temperature hep-lat · Jan 2007
- Lattice simulations with G-parity Boundary Conditions hep-lat · Aug 2019
How the literature uses it
6 arXiv papers cite this in 11 sentences
Papers citing it · 7 sentences without a confident label
Uses its method or tool 2 papers
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We are striving to overcome technical issues such as the efficient evaluation of disconnected diagrams and the projection of the physical state through the use of G-parity boundary conditions [ref] in order to evaluate $A_0$ at physical kinematics in the near future.
Emerging understanding of the \Delta I = 1/2 Rule from Lattice QCD · Introduction · 0.90
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This choice corresponds to the H-boundary condition of Ref. [ref] that had been used in earlier studies of nucleon excited states [ref] .
Direct determinations of the nucleon and pion $\sigma$ terms at nearly physical quark masses · Spectral decomposition of the pion two- and three-point functions · 0.92
Cites it as support 1 paper
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As pointed out in [ref] , the extraction of the $K→ππ$ amplitude with the Lellouch-Lüscher method [ref] can benefit from eliminating pion zero modes.
Restless pions: orbifold boundary conditions and noise suppression in lattice QCD · Impact on $K→ππ$ · 0.96
Cites it as background 1 paper
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The effects are also known even at zero temperature case e.g. the study of two pion correlators [ref] , and pentaquark correlator [ref] .
Study of constant mode in charmonium correlators at finite temperature · Introduction · 0.84
Challenges and discussion
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