Finite-Volume Electromagnetic Corrections to the Masses of Mesons, Baryons and Nuclei

Abstract

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.

16 pages, 11 figures. v2: matches the published version. Eqs. (18) and (19) are updated to include a missing contribution at O(1/L^4). The main results and the conclusion are unchanged

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Cited by in corpus (54)

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• Two-Particle Elastic Scattering in a Finite Volume Including QED
• Theoretical aspects of quantum electrodynamics in a finite volume with periodic boundary conditions
• Electromagnetic Contribution to the Proton-Neutron Mass Splitting
• Nuclear Reactions from Lattice QCD
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• Quark Hadron Duality at Finite Temperature
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• Future tests of parton distributions
• Gravitational contributions to the electron $g$-factor
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• Reconciling the lattice background field method with nonrelativistic QED: Spinor case
• Composite Vector Particles in External Electromagnetic Fields
• Charged-particle bound states in periodic boxes
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• Lattice calculation of the pion mass difference $M_{{\pi }^{+}}-M_{{\pi }^0}$ at order $\mathcal{O}({\alpha }_{em})$
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• Two Lectures on QCD at Short Distances: Jets and Factorization
• Finite-Volume Corrections to Electromagnetic Masses for Larger-Than-Physical Electric Charges
• QED interaction effects on heavy meson masses from lattice QCD+QED
• The muon abundance in the primordial Universe
• Hadron Structure and Spectrum from the Lattice
• Inclusion of isospin breaking effects in lattice simulations
• Impact of electromagnetism on phase structure for Wilson and twisted-mass fermions including isospin breaking
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• HVP contributions to the muon ($g-2$) including QED corrections with twisted-mass fermions
• Isospin Breaking in Lattice QCD Computations of Decay Amplitudes
• From Elastic Scattering to Central Exclusive Production: Physics with Forward Protons at RHIC
• Leading Isospin Breaking effects in nucleon and $\Delta$ masses
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