Update on pi and K Physics

Bérnard, C.; DeTar, Carleton; Maresca, F.; Osborn, James C.; Gottlieb, Steven; Levkova, L.; Heller, Urs M.; Hetrick, J. E.; Renner, Dru B.; Toussaint, D.; Sugar, R.

doi:10.22323/1.020.0025

Cited by 7 publications

(20 citation statements)

References 21 publications

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“…[10,11]. We stress that one key element-the anticipated scaling of the taste-breaking effects-has been corroborated by extensive numerical studies [18,19,20,21].…”

Section: Introductionmentioning

confidence: 60%

“…[23,24], but the coefficients are different functions of n r . 20 This form of S quad is the one needed for the construction of rSChPT [23], which we will discuss in Sec. V.…”

Section: Examplesmentioning

confidence: 99%

“…Since the latter theory is local by the first assumption, the validity of the scaling assumption needed for the RG treatment is very plausible. We remind the reader that there is considerable numerical evidence for the continuum restoration of taste symmetry in the rooted case [13,18,19,20,21]. 28 We again are assuming that the contributions of ghosts and taste-singlet quarks in the sea cancel to all orders in partially quenched ChPT once there are the same number of ghosts and taste-singlet quarks, i.e., once n r = n s /4.…”

Section: Comparison With Reference [14]mentioning

confidence: 99%

“…Assuming that the rooted staggered theory has the correct continuum limit, this leaves us with a third question. While the anticipated scaling of taste-breaking effects is observed, these effects are clearly not negligible at present [13,18,19,20,21]. It is therefore imperative to take lattice artifacts into account in the effective continuum field theories (EFTs) such as the Symanzik effective theory (SET) or chiral perturbation theory (ChPT).…”

Section: Introductionmentioning

confidence: 99%

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Effective field theories for QCD with rooted staggered fermions

2008

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Even highly improved variants of lattice QCD with staggered fermions show significant violations of taste symmetry at currently accessible lattice spacings. In addition, the "rooting trick" is used in order to simulate with the correct number of light sea quarks, and this makes the lattice theory nonlocal, even though there is good reason to believe that the continuum limit is in the correct universality class. In order to understand scaling violations, it is thus necessary to extend the construction of the Symanzik effective theory to include rooted staggered fermions. We show how this can be done, starting from a generalization of the renormalization-group approach to rooted staggered fermions recently developed by one of us. We then explain how the chiral effective theory follows from the Symanzik action, and show that it leads to "rooted" staggered chiral perturbation theory as the correct chiral theory for QCD with rooted staggered fermions. We thus establish a direct link between the renormalization-group based arguments for the correctness of the continuum limit and the success of rooted staggered chiral perturbation theory in fitting numerical results obtained with the rooting trick. In order to develop our argument, we need to assume the existence of a standard partially-quenched chiral effective theory for any local partially-quenched theory. Other technical, but standard, assumptions are also required.Comment: Minor changes, few references added; RevTeX, 35 page

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“…[10,11]. We stress that one key element-the anticipated scaling of the taste-breaking effects-has been corroborated by extensive numerical studies [18,19,20,21].…”

Section: Introductionmentioning

confidence: 60%

“…[23,24], but the coefficients are different functions of n r . 20 This form of S quad is the one needed for the construction of rSChPT [23], which we will discuss in Sec. V.…”

Section: Examplesmentioning

confidence: 99%

Section: Comparison With Reference [14]mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effective field theories for QCD with rooted staggered fermions

2008

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“…However, since the doubling problem is not completely solved, to reduce further the tastes and restore the correct number of degrees of freedom a rooting procedure has to be introduced. The validity of this technique has long been debated in the literature [2,3,4,5,6,7,8,9,10,11,12,13] and even if a definite conclusion is still missing, numerical evidence seems to confirm its correctness namely that the non-local terms appearing at finite lattice spacing become irrelevant in the continuum limit. At non-zero lattice spacing, due to the fact that for staggered fermions the spin and the taste degrees of freedom are mixed, a breaking of the continuum taste symmetry occurs and as a consequence only one of the sixteen pi-ons is a true Goldstone boson.…”

Section: Introductionmentioning

confidence: 99%

Taste symmetry breaking at finite temperature

Laermann

Pucci

2012

Eur. Phys. J. C

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The breaking of the taste symmetry is studied in the temperature range between 140 MeV to 550 MeV. In order to investigate this violation we have calculated the screening masses of the various taste states fitting the exponential decay of the spatial correlators. The computation has been performed using dynamical N f = 2+1 gauge field configurations generated with the p4 staggered action along the Line of Constant Physics (LCP) defined by a pion mass mπ of approximately 220 MeV and the kaon mass mK equals 500 MeV. For temperatures below the transition an agreement with the predictions of the staggered chiral perturbation theory has been found and no temperature effect can be observed on the taste violation. Above the transition the taste splitting still shows an O(a 2 ) behavior but with a temperature dependent slope. In addition to the analysis done for the pion multiplet we have performed an analogous computation for the light-strange and strange mesons and also looked at the scalar, vector and axial vector channels to understand how the multiplets split at finite temperature. Finally the temperature dependence of the pion decay constant fπ is investigated to get further information about the chiral symmetry restoration.

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Scalar meson spectroscopy with a fine lattice

Fu¹,

DeTar

2011

Chinese Phys. C

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With sufficiently light u and d quarks the isovector (a0) and isosinglet (f0) scalar meson propagators are dominated at large distances by two-meson states. In the staggered fermion formulation of lattice QCD, taste-symmetry breaking causes a proliferation of multihadron states that complicates the analysis of these channels. Of special interest is the bubble contribution, which makes a considerable contribution to these channels. Using numerical simulation we have measured the correlators for both a0 and f0 channels in the “Asqtad" improved staggered fermion formulation in a MILC fine (a = 0.09 fm) lattice ensemble. We analyze those correlators using rooted staggered chiral perturbation theory (rSχPT) and achieve chiral couplings that are well consistent with previous determinations.

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Update on pi and K Physics

Cited by 7 publications

References 21 publications

Effective field theories for QCD with rooted staggered fermions

Effective field theories for QCD with rooted staggered fermions

Taste symmetry breaking at finite temperature

Scalar meson spectroscopy with a fine lattice

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