Classical and quantum mechanics of a spinning particle interacting with antisymmetric nonabelian tensor fields
Abstract
The spinning particle interacting in a supersymmetric and gauge invariant way with antisymmetric nonabelian tensor fields is studied. A quantum theory is presented. The Witten index for the corresponding Dirac operator is calculated. The results show that the antisymmetric nonabelian tensor fields do not give any contribution to it. It is found that only the gravitational field g(sub mu nu) and the one index gauge field sub nu give contributions to the index. The antisymmetric tensor fields only yield globally defined exact forms.
 Publication:

Unknown
 Pub Date:
 December 1991
 Bibcode:
 1991cqms.reptR....R
 Keywords:

 Dirac Equation;
 Gauge Invariance;
 Particle Interactions;
 Quantum Mechanics;
 Quantum Theory;
 Spin Dynamics;
 Supersymmetry;
 Tensors;
 Gravitational Fields;
 Operators (Mathematics);
 Thermodynamics and Statistical Physics