Stochastic Quantization of Non-Abelian Antisymmetric Tensor Fields

Stochastic Quantization of Non-Abelian Antisymmetric Tensor Fields

A Stochastic Quantization Method (in short, SQM)l) was first introduced by Parisi and Wu) as the third quantization method of gauge theories. Their statement is as follows: In this scheme there is no need to fix the gauge degrees of freedom, i.e., no need to introduce any artificial auxiliary fields (ghost and multiplier fields). It is the main advantage of the SQM. It is essentially governed b...

Quantization of chiral antisymmetric tensor fields

Chiral antisymmetric tensor fields can have chiral couplings to quarks and leptons. Their kinetic terms do not mix different representations of the Lorentz symmetry. A mass term is forbidden by symmetry. We demonstrate that the interacting theory for such fields can be consistently quantized. The Hamiltonian is hermitean and bounded from below. In contrast, the Hamiltonian for the free fields i...

August , 1997 Non - Abelian Gravity and Antisymmetric Tensor Gauge Theory

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual in four dimensions, or has SU(n) holonomy in 2n dimensions. The coupling to self-dual Yang-Mills fields in 4 dimensions, or their higher dimensional generali...

Non - Abelian Gravity and Antisymmetric Tensor Gauge Theory

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual in four dimensions, or has SU(n) holonomy in 2n dimensions. The coupling to self-dual Yang-Mills fields in 4 dimensions, or their higher dimensional generali...

Antisymmetric Tensor Gauge Fields on S4