Published January 2000
| Version v1
Report
Global anomalies in chiral gauge theories on the lattice
Description
We discuss the issue of global anomalies in chiral gauge theories on the lattice. In Luescher's approach, these obstructions make it impossible to define consistently a fermionic measure for the path integral. We show that an SU(2) theory has such a global anomaly if the Weyl fermion is in the fundamental representation. The anomaly in higher representations is also discussed. We finally show that this obstruction is the lattice analogue of the SU(2) anomaly first discovered by Witten. (orig.)
Availability note (English)
Available from TIB Hannover: RA 2999(99-188)Additional details
Publishing Information
- Imprint Pagination
- 21 p.
- ISSN
- 0418-9833
- Report number
- DESY--99-188
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 31049369
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Non-conventional Literature
- Descriptors DEI
- LATTICE FIELD THEORY
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; QUANTUM FIELD THEORY
- Proposed descriptors and Free-text terms
- GAUGE FIELD THEORY; CHIRAL SYMMETRIES; SU(2) THEORY; GLOBAL ANOMALIES; CHIRAL GAUGE THEORIES; FERMIONIC MEASURE; PATH INTEGRAL; WEYL FERMION; FUNDAMENTAL REPRESENTATION; HIGHER REPRESENTATIONS; LATTICE ANALOGUE; LUESCHER'S APPROACH; CLOSED GAUGE LOOPS; WITTEN'S ANOMALY
Optional Information
- Notes
- 16 refs.
- Secondary number(s)
- HEP-LAT--0001025