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Exponential reduction of finite volume effects with twisted boundary conditions
High Energy Physics - Lattice · Submitted 1 Dec 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Flavor-twisted boundary conditions can be used for exponential reduction of finite volume artifacts in flavor-averaged observables in lattice QCD calculations with $SU(N_f)$ light quark flavor symmetry.
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The abstract, sentence by sentence
Flavor-twisted boundary conditions can be used for exponential reduction of finite volume artifacts in flavor-averaged observables in lattice QCD calculations with $SU(N_f)$ light quark flavor symmetry. Finite volume artifact reduction arises from destructive interference effects in a manner closely related to the phase averaging which leads to large $N_c$ volume independence. With a particular choice of flavor-twisted boundary conditions, finite volume artifacts for flavor-singlet observables in a hypercubic spacetime volume are reduced to the size of finite volume artifacts in a spacetime volume with periodic boundary conditions that is four times larger.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Flavor-twisted boundary conditions can be used for exponential reduction of finite volume artifacts in flavor-averaged observables in lattice QCD calculations with $SU(N_f)$ light quark flavor symmetry. | contribution 0.41 | 0.25 | 0.73 | hedged possibility 0.65 |
| s1 | Finite volume artifact reduction arises from destructive interference effects in a manner closely related to the phase averaging which leads to large $N_c$ volume independence. | interpretation 0.96 | 0.30 | 0.08 | asserted 1.00 |
| s2 | With a particular choice of flavor-twisted boundary conditions, finite volume artifacts for flavor-singlet observables in a hypercubic spacetime volume are reduced to the size of finite volume artifacts in a spacetime volume with periodic boundary conditions that is four times larger. | result 0.99 | 0.69 | 0.65 | asserted 1.00 |
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The paper
Original abstract
Flavor-twisted boundary conditions can be used for exponential reduction of finite volume artifacts in flavor-averaged observables in lattice QCD calculations with $SU(N_f)$ light quark flavor symmetry. Finite volume artifact reduction arises from destructive interference effects in a manner closely related to the phase averaging which leads to large $N_c$ volume independence. With a particular choice of flavor-twisted boundary conditions, finite volume artifacts for flavor-singlet observables in a hypercubic spacetime volume are reduced to the size of finite volume artifacts in a spacetime volume with periodic boundary conditions that is four times larger.
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References
How the literature uses it
9 arXiv papers cite this in 10 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 6 papers
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Regarding the adiabatic conjecture and the investigation of nonperturbative phenomena, some works consider more than one compactification and also twisted boundary conditions [ref] .
On the permanence of renormalons in compactified spaces · Introduction · 0.96
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Several works followed this approach, but possible alternative, like the introduction of adjoint fermions or the use of non-thermal boundary conditions, have also been proposed [ref] .
$\theta$ dependence in trace deformed $SU(3)$ Yang-Mills theory: a lattice study · Introduction · 0.94
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Several works have already considered the use of trace deformed theories and also possible alternatives, like the introduction of adjoint fermions or the use of non-thermal boundary conditions [ref] .
$\theta$-dependence and center symmetry in Yang-Mills theories · Introduction · 0.97
What it cites · 25 sentences without a confident label
Builds on 1 paper
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[ref] , and provide general symmetry-based arguments demonstrating that they reduce finite-volume artifacts in generic flavor-singlet systems.
Two-Baryon Systems with Twisted Boundary Conditions · Introduction · 1.00
Uses the method or tool of 1 paper
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[ref] ) allow one to put $T(s,α_μ)$ into a more useful form, [equation] where $|nL| ≡(∑_μn_μ^2 L_μ^2)^1/2$.
Twisted Boundary Conditions in Lattice Simulations · Free energy · 0.81
Cites as background 44 papers
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In this regime, chiral effective field theory provides a useful description of low temperature dynamics.[ Chiral effective field theory has been used to study finite spacetime volume effects for a long time [ref] .] Leading finite-$β$ effects will come from pion loops, with the chiral loop expansion controlled by the small parameter $m_π^2/(4πf_π)^2 ≪1$, with $f_π ∼$.
Quenched Chiral Logarithms · Introduction · 0.95
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In this regime, chiral effective field theory provides a useful description of low temperature dynamics.[ Chiral effective field theory has been used to study finite spacetime volume effects for a long time [ref] .] Leading finite-$β$ effects will come from pion loops, with the chiral loop expansion controlled by the small parameter $m_π^2/(4πf_π)^2 ≪1$, with $f_π ∼$.
High Statistics Analysis using Anisotropic Clover Lattices: (IV) Volume Dependence of Light Hadron Masses · Introduction · 0.95
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In this regime, chiral effective field theory provides a useful description of low temperature dynamics.[ Chiral effective field theory has been used to study finite spacetime volume effects for a long time [ref] .] Leading finite-$β$ effects will come from pion loops, with the chiral loop expansion controlled by the small parameter $m_π^2/(4πf_π)^2 ≪1$, with $f_π ∼$.
Finite volume corrections to pi-pi scattering · Introduction · 0.95
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