Microscopic Spectrum of the Wilson Dirac Operator

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.105.162002· OSTI ID:21467023

Damgaard, P H ^[1]; Splittorff, K ^[2]; Verbaarschot, J J. M. ^[3]

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1. Niels Bohr International Academy, Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen O (Denmark)
2. Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen O (Denmark)
3. Department of Physics and Astronomy, SUNY, Stony Brook, New York 11794 (United States)

We calculate the leading contribution to the spectral density of the Wilson Dirac operator using chiral perturbation theory where volume and lattice spacing corrections are given by universal scaling functions. We find analytical expressions for the spectral density on the scale of the average level spacing, and introduce a chiral random matrix theory that reproduces these results. Our work opens up a novel approach to the infinite-volume limit of lattice gauge theory at finite lattice spacing and new ways to extract coefficients of Wilson chiral perturbation theory.

• OSTI ID: 21467023
• Journal Information: Physical Review Letters, Vol. 105, Issue 16; Other Information: DOI: 10.1103/PhysRevLett.105.162002; (c) 2010 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
CORRECTIONS
DIRAC OPERATORS
GAUGE INVARIANCE
LATTICE FIELD THEORY
MATRICES
PERTURBATION THEORY
RANDOMNESS
SPECTRAL DENSITY
WILSON LOOP
CONSTRUCTIVE FIELD THEORY
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPECTRAL FUNCTIONS