Non-Abelian gauge antisymmetric tensor fields

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...

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...

Antisymmetric Tensor Gauge Fields on S4

Duality Transformation of non-Abelian Tensor Gauge Fields

For non-Abelian tensor gauge fields we have found an alternative form of duality transformation, which has the property that the direct and the inverse transformations coincide. This duality transformation has the desired property that the direct and the inverse transformations map Lagrangian forms into each other. guttenb(AT)inp.demokritos.gr savvidy(AT)inp.demokritos.gr