Violations of the Lattice Index Theorem for Spherical Center Vortices

Journal Article · Mon May 23 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3574985· OSTI ID:21513275

Hoellwieser, R; Faber, M ^[1]; Heller, U M ^[2]

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1. Atomic Institute, Vienna University of Technology, Wiedner Hauptstr. 8-10, A-1040 Vienna (Austria)
2. American Physical Society, One Research Road, Ridge, NY 11961 (United States)

We address the puzzle raised in a previous work of our group [Phys. Rev. D 77, 14515 (2008)], where we found a violation of the lattice index theorem with the overlap Dirac operator in the fundamental representation even for ''admissible'' gauge fields of a classical, spherical center vortex. Here we confirm the discrepancy between the topological charge and the index of the Dirac operator also for asqtad staggered fermions and adjoint representations. Numerically, the discrepancy equals the sum of the winding numbers of the spheres when they are regarded as maps S{sup 3{yields}}SU(2).

• OSTI ID: 21513275
• Journal Information: AIP Conference Proceedings, Vol. 1343, Issue 1; Conference: QCHS 9: 9. international conference on quark confinement and the hadron spectrum, Madrid (Spain), 30 Aug - 3 Sep 2010; Other Information: DOI: 10.1063/1.3574985; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
DIRAC OPERATORS
FERMIONS
GAUGE INVARIANCE
LATTICE FIELD THEORY
SPHERICAL CONFIGURATION
SU-2 GROUPS
TOPOLOGY
VORTICES
CONFIGURATION
CONSTRUCTIVE FIELD THEORY
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SU GROUPS
SYMMETRY
SYMMETRY GROUPS