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Spinor analysis of Yang-Mills theory

Journal Article · · Phys. Rev., D; (United States)
;
We formulate the Euclidean Yang-Mills gauge theory for isospin in terms of multispinors of SU(2) x SU(2)(=O(4)) x SU(2). The Dirac equation for fermions with arbitrary isospin interacting with the self-dual, conformally covariant Yang-Mills field is analyzed and completely solved for the isovector case. The relevance for this problem of the Atiyah-Singer index theory and its relation to the anomalous divergence of the axial-vector current are also explained.
Research Organization:
Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
OSTI ID:
7290351
Journal Information:
Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 16:4; ISSN PRVDA
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AXIAL-VECTOR CURRENTS
CURRENTS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DYNAMICAL GROUPS
EQUATIONS
EUCLIDEAN SPACE
FERMIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
ISOSPIN
LIE GROUPS
MATHEMATICAL SPACE
O GROUPS
PARTICLE PROPERTIES
RIEMANN SPACE
SPACE
SPINORS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
WAVE EQUATIONS
YANG-MILLS THEORY