Partial Flavor Symmetry Restoration for Chiral Staggered Fermions

Abstract

We study the leading discretization errors for staggered fermions by first constructing the continuum effective Lagrangian including terms of O(a^2), and then constructing the corresponding effective chiral Lagrangian. The terms of O(a^2) in the continuum effective Lagrangian completely break the SU(4) flavor symmetry down to the discrete subgroup respected by the lattice theory. We find, however, that the O(a^2) terms in the potential of the chiral Lagrangian maintain an SO(4) subgroup of SU(4). It follows that the leading discretization errors in the pion masses are SO(4) symmetric, implying three degeneracies within the seven lattice irreducible representations. These predictions hold also for perturbatively improved versions of the action. These degeneracies are observed, to a surprising degree of accuracy, in existing data. We argue that the SO(4) symmetry does not extend to the masses and interactions of other hadrons (vector mesons, baryons, etc), nor to higher order in a^2. We show how it is possible that, for physical quark masses of O(a^2), the new SO(4) symmetry can be spontaneously broken, leading to a staggered analogue of the Aoki-phase of Wilson fermions. This does not, however, appear to happen for presently studied versions of the staggered action.

26 pages, 2 figures (using psfig). Version to appear in PRD (clarifications added to introduction and section 6; typos corrected; references updated)

References in corpus (7)

• Spontaneous Flavor and Parity Breaking with Wilson Fermions
• Flavor-Symmetry Restoration and Symanzik Improvement for Staggered Quarks
• Testing improved actions for dynamical Kogut-Susskind quarks
• Improved staggered quark actions with reduced flavour symmetry violations for lattice QCD
• Tests of Improved Kogut-Susskind Fermion Actions
• Predicting the Aoki Phase using the Chiral Lagrangian
• Partial Restoration of Flavor Symmetry for Chiral Staggered Fermions

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