Global gauge anomalies for theories with the Green-Schwarz local-anomaly-cancellation mechanism

Journal Article · Fri Sep 15 04:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.1934· OSTI ID:5591870

Tosa, Y ^[1]

---

1. Department of Physics, University of Colorado, Campus Box 390, Boulder, Colorado 80309 (US)

We show that theories with the Green-Schwarz mechanism of canceling local anomalies in even dimensions have the possibility of the worst type of global Yang-Mills chiral anomalies given by the homotopy group of the Yang-Mills gauge group. The examples are given for SU(3) gauge theories in six dimensions ({Pi}{sub 6}(SU(3))={ital Z}{sub 3 }) whose global anomalies are of types {bold Z}{sub 1}, {bold Z}{sub 2}, {bold Z}{sub 3}, and {bold Z}{sub 6}.

• OSTI ID: 5591870
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:6; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FERMIONS
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
INVARIANCE PRINCIPLES
LIE GROUPS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
SO GROUPS
SP GROUPS
STRING MODELS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
YANG-MILLS THEORY