Inclusion of isospin breaking effects in lattice simulations

Portelli, Antonin

doi:10.22323/1.214.0013

Cited by 22 publications

(39 citation statements)

References 49 publications

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“…(2.2). Consequentially, it is to be expected that am c will change with B, in analogy to its change in the presence of QED [1]. In fact, this change of am c , and consequently the change in the bare quark masses am f ∼ a(m f −m c, f ), is already present in the free case, which we will show in section 3.…”

Section: Introductionmentioning

confidence: 74%

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QCD spectroscopy and quark mass renormalisation in external magnetic fields with Wilson fermions

Brandt¹,

Bali²,

Endrődi³

et al. 2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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We study the change of the QCD spectrum of low-lying mesons in the presence of an external magnetic field using Wilson fermions in the quenched approximation. Motivated by qualitative differences observed in the spectra of overlap and Wilson fermions for large magnetic fields, we investigate the dependence of the additive quark mass renormalisation on the magnetic field. We provide evidence that the magnetic field changes the critical quark mass both in the free case and on our quenched ensemble. The associated change of the bare quark mass with the magnetic field affects the spectrum and is relevant for the magnetic field dependence of a number of related quantities. We derive Ward identities for lattice and continuum QCD+QED from which we can extract the current quark masses. We also report on a first test of the tuning of the quark masses with the magnetic field using the current quark masses, and show that this tuning resolves the qualitative discrepancy between the Wilson and overlap spectra.The 33rd International Symposium on Lattice Field Theory 14-18 July 2015 Kobe International Conference Center, Kobe, Japan * Acknowledgments: The simulations have been done on 'iDataCool' at the university of Regensburg. This work was supported by SFB/TRR-55. We would like to thank Kalman Szabo and Falk Bruckmann for useful discussions.† Speaker.

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Section: Introductionmentioning

confidence: 74%

“…[1]), there is also a growing interest in the properties of QCD in strong external magnetic fields. They may appear in non-central heavy-ion collisions [2], inside magnetars [3] and in the evolution of the early universe [4].…”

Section: Introductionmentioning

confidence: 99%

QCD spectroscopy and quark mass renormalisation in external magnetic fields with Wilson fermions

Brandt¹,

Bali²,

Endrődi³

et al. 2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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“…[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%

“…However each minimum with z 3 = −1 is gauge-equivalent to some minimum with z 3 = 1 (this is a byproduct of the construction given in appendix C). The perturbative expansion around the minimumŪ z (x, µ) is set up by defining 9) and by adding a gauge-fixing term S gf to the action, which we will not do explicitly. We only observe that S gf is a function of the fluctuation A µ (x) only, and not of the classical vacuum U z (x, µ).…”

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.

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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“…Indeed, using a variety of different methods, several collaborations have recently obtained remarkably accurate results for the hadron spectrum, for example in the determination of the charged-neutral mass splittings of light pseudoscalar mesons and baryons [3][4][5][6][7][8][9][10][11][12][13] (see [14][15][16] for reviews on the subject).…”

Section: Introductionmentioning

confidence: 99%

Finite-volume QED corrections to decay amplitudes in lattice QCD

et al. 2017

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We demonstrate that the leading and next-to-leading finite-volume effects in the evaluation of leptonic decay widths of pseudoscalar mesons at OðαÞ are universal; i.e. they are independent of the structure of the meson. This is analogous to a similar result for the spectrum but with some fundamental differences, most notably the presence of infrared divergences in decay amplitudes. The leading nonuniversal, structuredependent terms are of Oð1=L 2 Þ [compared to the Oð1=L 3 Þ leading nonuniversal corrections in the spectrum]. We calculate the universal finite-volume effects, which requires an extension of previously developed techniques to include a dependence on an external three-momentum (in our case, the momentum of the final-state lepton). The result can be included in the strategy proposed in Ref. [N. Carrasco et al., Phys. Rev. D 91, 074506 (2015).] for using lattice simulations to compute the decay widths at OðαÞ, with the remaining finite-volume effects starting at order Oð1=L 2 Þ. The methods developed in this paper can be generalized to other decay processes, most notably to semileptonic decays, and hence open the possibility of a new era in precision flavor physics.

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Inclusion of isospin breaking effects in lattice simulations

Cited by 22 publications

References 49 publications

QCD spectroscopy and quark mass renormalisation in external magnetic fields with Wilson fermions

QCD spectroscopy and quark mass renormalisation in external magnetic fields with Wilson fermions

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

Finite-volume QED corrections to decay amplitudes in lattice QCD

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