Nucleon and Delta masses in twisted mass chiral perturbation theory

Abstract

We calculate the masses of the nucleons and deltas in twisted mass heavy baryon chiral perturbation theory. We work to quadratic order in a power counting scheme in which we treat the lattice spacing and the quark masses to be of the same order. We give expressions for the mass and the mass splitting of the nucleons and deltas both in and away from the isospin limit. We give an argument using the chiral Lagrangian treatment that, in the strong isospin limit, the nucleons remain degenerate and the delta multiplet breaks into two degenerate pairs to all orders in chiral perturbation theory. We show that the mass splitting between the degenerate pairs of the deltas first appears at quadratic order in in the lattice spacing. We discuss the subtleties in the effective chiral theory that arise from the inclusion of isospin breaking.

21 pages, 4 figures, version published in PRD

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Cited by in corpus (20)

• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Dynamical Twisted Mass Fermions with Light Quarks
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Universality of Mixed Action Extrapolation Formulae
• Pion-nucleon sigma term revisited in covariant baryon chiral perturbation theory
• Observations on discretization errors in twisted-mass lattice QCD
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• Applications of Chiral Perturbation theory to lattice QCD
• pi-pi Scattering in Twisted Mass Chiral Perturbation Theory
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• Twisted mass lattice QCD with non-degenerate quark masses
• Phase diagram of non-degenerate twisted mass fermions
• Effective Field Theory for the Anisotropic Wilson Lattice Action
• $\pi \pi$ scattering in partially-quenched twisted-mass chiral perturbation theory
• Topics in Effective Field Theory for Lattice QCD
• New lessons from the nucleon mass, lattice QCD and heavy baryon chiral perturbation theory
• Impact of electromagnetism on phase structure for Wilson and twisted-mass fermions including isospin breaking
• Phase structure with nonzero ${\Theta }_{\mathrm{QCD}}$ and twisted mass fermions
• Topics in Lattice QCD and Effective Field Theory
• The hadron spectrum from twisted mass QCD with a strange quark