Staggered chiral perturbation theory at next-to-leading order

Journal Article · Wed Jun 01 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.114505· OSTI ID:20709469

Sharpe, Stephen R; Van de Water, Ruth S ^[1]

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1. Physics Department, University of Washington, Seattle, Washington 98195-1560 (United States)

We study taste and Euclidean rotational symmetry violation for staggered fermions at nonzero lattice spacing using staggered chiral perturbation theory. We extend the staggered chiral Lagrangian to O(a{sup 2}p{sup 2}), O(a{sup 4}), and O(a{sup 2}m), the orders necessary for a full next-to-leading order calculation of pseudo-Goldstone boson masses and decay constants including analytic terms. We then calculate a number of SO(4) taste-breaking quantities, which involve only a small subset of these next-to-leading order operators. We predict relationships between SO(4) taste-breaking splittings in masses, pseudoscalar decay constants, and dispersion relations. We also find predictions for a few quantities that are not SO(4) breaking. All these results hold also for theories in which the fourth root of the fermionic determinant is taken to reduce the number of quark tastes; testing them will therefore provide evidence for or against the validity of this trick.

• OSTI ID: 20709469
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 11 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CHIRALITY
DISPERSION RELATIONS
EUCLIDEAN SPACE
GOLDSTONE BOSONS
INTERMEDIATE BOSONS
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
LATTICE FIELD THEORY
PARTICLE DECAY
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUARK MODEL
QUARKS
REST MASS
SO-4 GROUPS
SYMMETRY BREAKING