Published September 12, 1977
| Version v1
Journal article
Axial anomaly and Atiyah-Singer theorem
Creators
- 1. Nordisk Inst. for Teoretisk Atomfysik, Copenhagen (Denmark)
- 2. European Organization for Nuclear Research, Geneva (Switzerland)
Description
The fermion integration for gauge theories requires the study of the Euclidean c number Dirac equation in arbitrary external gauge fields. Winding of Asub(μ) leads to a trapping for the Euclidean psi's. The authors complete their previous discussion by relating this problem to the Atiyah-Singer index theory. For gauge theories a suitably modified axial anomaly relation provides a new proof of this theorem. (Auth.)
Additional details
Identifiers
Publishing Information
- Journal Title
- Nuclear Physics B
- Journal Volume
- 127
- Journal Issue
- 3
- Series
- Nucl. Phys., B.
- Journal Page Range
- 493-508
- ISSN
- 0550-3213
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 9353125
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- AXIAL-VECTOR CURRENTS; CHIRALITY; COLOR MODEL; DIRAC EQUATION; DIRAC OPERATORS; EUCLIDEAN SPACE; FERMIONS; GAUGE INVARIANCE; GREEN FUNCTION; HILBERT SPACE; QUANTUM ELECTRODYNAMICS; SPINORS
- Descriptors DEC
- ALGEBRAIC CURRENTS; BANACH SPACE; COMPOSITE MODELS; CURRENTS; DIFFERENTIAL EQUATIONS; ELECTRODYNAMICS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; QUANTUM OPERATORS; QUARK MODEL; RIEMANN SPACE; SPACE
Optional Information
- Notes
- Updated automatically by Metadata and Full-Text Enrichment Agent