Leading isospin breaking effects on the lattice

Divitiis, Giulia Maria de; Frezzotti, R.; Lubicz, V.; Martinelli, G.; Petronzio, R.; Rossi, G.C.; Sanfilippo, Francesco; Simula, Silvano; Tantalo, Nazario

doi:10.1103/physrevd.87.114505

Cited by 194 publications

(438 citation statements)

References 31 publications

(75 reference statements)

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“…Calculating accurately the electromagnetic mass is quite important, since it is vital to determine the precise value of the light quark masses from the hadron spectrum. Fortunately, the lattice calculation on the electromagnetic contributions to hadron mass has been progressed a lot to accurately determine the electromagnetic mass of hadrons [6][7][8][9][10][11]. In this paper we provide a holographic estimate of the electromagnetic mass of hadrons, which will be complementary to the lattice results.…”

Section: Introductionsupporting

confidence: 57%

Holographic estimate of electromagnetic mass

Hong

2015

J. High Energ. Phys.

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Using the gauge/gravity duality, we calculate the electromagnetic contributions to hadron masses, where mass generates dynamically by strong QCD interactions. Based on the Sakai-Sugimoto model of holographic QCD we find that the electromagnetic mass of proton is 0.48 MeV larger than that of neutron, which is in agreement with recent lattice results. Similarly for pions we obtain m π ± − m π 0 = 1.8 MeV, roughly half of the experimental value. The electromagnetic mass of pions is found to be independent of N c and 't Hooft coupling and its scale is set only by the Kaluza-Klein scale of the model, M KK = 949 MeV.

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Section: Introductionsupporting

confidence: 57%

Holographic estimate of electromagnetic mass

Hong

2015

J. High Energ. Phys.

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“…One can extract the leading order O(e 2 ) electromagnetic contributions either with the techniques described in [3], or by doing a QED dynamical simulation as suggested in refs. [2][3][4][5][6][7]. In the non-compact formulation a way to damp the longitudinal modes of the gauge field is needed, gaugefixing being the most common choice.…”

Section: Lattice Formulationmentioning

confidence: 99%

“…[1], particularly in the past few years, leading to recent determinations of the electromagnetic mass splitting of light pseudoscalar mesons and light baryons, see refs. [2][3][4][5][6][7][8][9] for recent works on the subject. All these works rely on finite-volume formulations of QED obtained by quenching some Fourier modes of the gauge field.…”

Section: Jhep02(2016)076mentioning

confidence: 99%

Charged hadrons in local finite-volume QED+QCD with C⋆ boundary conditions

Lucini

Patella

Ramos

et al. 2016

J. High Energ. Phys.

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177

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In order to calculate QED corrections to hadronic physical quantities by means of lattice simulations, a coherent description of electrically-charged states in finite volume is needed. In the usual periodic setup, Gauss's law and large gauge transformations forbid the propagation of electrically-charged states. A possible solution to this problem, which does not violate the axioms of local quantum field theory, has been proposed by Wiese and Polley, and is based on the use of C boundary conditions. We present a thorough analysis of the properties and symmetries of QED in isolation and QED coupled to QCD, with C boundary conditions. In particular we learn that a certain class of electricallycharged states can be constructed in a fully consistent fashion without relying on gauge fixing and without peculiar complications. This class includes single particle states of most stable hadrons. We also calculate finite-volume corrections to the mass of stable charged particles and show that these are much smaller than in non-local formulations of QED.

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“…In some instances, the up-and down-quark masses and quenched Quantum Electrodynamics (QED) have been included in an effort to precisely post-dict the observed isospin splittings in the spectrum of hadrons [4,[6][7][8][9][10][11][12][13]. While naively appearing to be a simple extension of pure LQCD calculations, there are subtleties associated with including QED.…”

Section: Introductionmentioning

confidence: 99%

Finite-volume electromagnetic corrections to the masses of mesons, baryons, and nuclei

2014

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Now that Lattice QCD calculations are beginning to include QED, it is important to better understand how hadronic properties are modified by finite-volume QED effects. They are known to exhibit power-law scaling with volume, in contrast to the exponential behavior of finite-volume strong interaction effects. We use non-relativistic effective field theories describing the low-momentum behavior of hadrons to determine the finite-volume QED corrections to the masses of mesons, baryons and nuclei out to O 1/L 4 in a volume expansion, where L is the spatial extent of the cubic volume. This generalizes the previously determined expansion for mesons, and extends it by two orders in 1/L to include contributions from the charge radius, magnetic moment and polarizabilities of the hadron. We make an observation about direct calculations of the muon g − 2 in a finite volume.

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Leading isospin breaking effects on the lattice

Cited by 194 publications

References 31 publications

Holographic estimate of electromagnetic mass

Holographic estimate of electromagnetic mass

Charged hadrons in local finite-volume QED+QCD with C⋆ boundary conditions

Finite-volume electromagnetic corrections to the masses of mesons, baryons, and nuclei

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