On the foundations of partially quenched chiral perturbation theory

Bérnard, C.; Golterman, Maarten

doi:10.1103/physrevd.88.014004

Cited by 26 publications

(32 citation statements)

References 40 publications

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“…M R (t) and M θ (t) do not visually plateau until much larger times. For the magnitude, a constant fit in the shaded region 30 ≤ t ≤ 40 gives an effective mass M R (t) → M R = 0.4085(2) (13) which is close to the value 3 2 m π = 0.39911(35)(14) [24] indicated by the red line. For the phase, a constant fit to the shaded region 25 ≤ t ≤ 29 gives an effective mass M θ (t) → M θ = 0.296 (20) (12), which is consistent with the value M N − 3 2 m π = 0.32636(58)(34) [24] indicated by the red line.…”

Section: A Magnitude-phase Decompositionmentioning

confidence: 99%

“…Suitable statistical tools for analyzing θ i are found in the theory of circular statistics and as will be seen below that θ i is described by an approximately wrapped normal distribution. 3 This work is based on a high-statistics analysis of 500,000 nucleon correlation functions generated on a single ensemble of gauge-field configurations by the NPLQCD collaboration [24] with LQCD. This ensemble has a pion mass of m π ∼ 450 MeV, physical strange quark mass, lattice spacing ∼ 0.12 fm, and spacetime volume 32 3 × 96.…”

Section: Introductionmentioning

confidence: 99%

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Statistics of baryon correlation functions in lattice QCD

Wagman

Savage²

2017

Phys. Rev. D

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A systematic analysis of the structure of single-baryon correlation functions calculated with lattice QCD is performed, with a particular focus on characterizing the structure of the noise associated with quantum fluctuations. The signal-to-noise problem in these correlation functions is shown, as long suspected, to result from a sign problem. The log-magnitude and complex phase are found to be approximately described by normal and wrapped normal distributions respectively. Properties of circular statistics are used to understand the emergence of a large time noise region where standard energy measurements are unreliable. Power-law tails in the distribution of baryon correlation functions, associated with stable distributions and "Lévy flights", are found to play a central role in their time evolution. A new method of analyzing correlation functions is considered for which the signal-to-noise ratio of energy measurements is constant, rather than exponentially degrading, with increasing source-sink separation time. This new method includes an additional systematic uncertainty that can be removed by performing an extrapolation, and the signal-to-noise problem re-emerges in the statistics of this extrapolation. It is demonstrated that this new method allows accurate results for the nucleon mass to be extracted from the large-time noise region inaccessible to standard methods. The observations presented here are expected to apply to quantum Monte Carlo calculations more generally. Similar methods to those introduced here may lead to practical improvements in analysis of noisier systems.

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Section: A Magnitude-phase Decompositionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Statistics of baryon correlation functions in lattice QCD

Wagman

Savage²

2017

Phys. Rev. D

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“…The splitting for n = 1 9) has to be generalized for the other pole configurations by taking the appropriate derivatives w.r.t. the masses.…”

Section: The Finite Volume Integralsmentioning

confidence: 99%

“…The corresponding effective theory for PQQCD is given by Partially Quenched Chiral Perturbation Theory (PQChPT) [8]. The arguments underlying this are elaborated in [9].…”

Section: Introductionmentioning

confidence: 99%

Finite volume for three-flavour Partially Quenched Chiral Perturbation Theory through NNLO in the meson sector

Bijnens

Rössler

2015

J. High Energ. Phys.

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We present a calculation of the finite volume corrections to meson masses and decay constants in three flavour Partially Quenched Chiral Perturbation Theory (PQChPT) through two-loop order in the chiral expansion for the flavour-charged (or off-diagonal) pseudoscalar mesons. The analytical results are obtained for three sea quark flavours with one, two or three different masses. We reproduce the known infinite volume results and the finite volume results in the unquenched case. The calculation has been performed using the supersymmetric formulation of PQChPT as well as with a quark flow technique.Partial analytical results can be found in the appendices. Some examples of cases relevant to lattice QCD are studied numerically. Numerical programs for all results are available as part of the CHIRON package.

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“…A thorough discussion of the assumptions involved is in [28]. It allows to study a number of variations of input parameters at reduced cost, as discussed in e.g.…”

Section: Jhep11(2015)017mentioning

confidence: 99%

Finite volume and partially quenched QCD-like effective field theories

Bijnens

Rössler

2015

J. High Energ. Phys.

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We present a calculation of the meson masses, decay constants and quarkantiquark vacuum expectation value for the three generic QCD-like chiral symmetry break-in the effective field theory for these cases. We extend the previous two-loop work to include effects of partial quenching and finite volume.The calculation has been performed using the quark flow technique. We reproduce the known infinite volume results in the unquenched case. The analytical results can be found in the supplementary material.Some examples of numerical results are given. The numerical programs for all cases are included in version 0.54 of the CHIRON package.The purpose of this work is the use in lattice extrapolations to zero mass for QCD-like and strongly interacting Higgs sector lattice calculations.

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On the foundations of partially quenched chiral perturbation theory

Cited by 26 publications

References 40 publications

Statistics of baryon correlation functions in lattice QCD

Statistics of baryon correlation functions in lattice QCD

Finite volume for three-flavour Partially Quenched Chiral Perturbation Theory through NNLO in the meson sector

Finite volume and partially quenched QCD-like effective field theories

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