Lattice regularization for chiral perturbation theory

Abstract

The SU(3) chiral lagrangian for the lightest octets of mesons and baryons is constructed on a spacetime lattice. The lattice spacing acts as an ultraviolet momentum cutoff which appears directly in the Lagrangian so chiral symmetry remains explicit. As the lattice spacing vanishes, Feynman loop diagrams typically become divergent due to inverse powers of the lattice spacing, and these divergences get absorbed into counterterms such that the standard results of dimensional regularization are obtained. One advantage of lattice regularization is that power divergences are seen explicitly. In the present work, the octet meson masses, the octet baryon masses and the pion-nucleon sigma term are all computed explicitly to one loop order.

19 pages, 3 figures, discussion of baryon substructure removed, published version

References in corpus (3)

• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Continuum limit of lattice QCD with staggered quarks in the quenched approximation - a critical role for the chiral extrapolation
• Chiral Pertubation Theory with lattice regularization

Cited by in corpus (15)

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• Nuclear Lattice Simulations with Chiral Effective Field Theory
• An Introduction to Chiral Symmetry on the Lattice
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• Volume dependences from lattice chiral perturbation theory
• Baryon magnetic moments and sigma terms in lattice-regularized chiral perturbation theory
• Lattice Effective Field Theory Simulations of Nuclei
• Nonlinear Realization of Chiral Symmetry on the Lattice
• Magnon Energy Renormalization and Low-Temperature Thermodynamics of O(3) Heisenberg Ferromagnets
• Baryons on the lattice
• Finite volume effects using lattice chiral perturbation theory
• Greens function of a free massive scalar field on the lattice
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations
• Nuclear effective field theory on the lattice