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Gauge Theories beyond Gauge Theories

Fortschritte der Physik, 2001
Summary: We introduce the algebra of functions generated by non-commuting coordinates and construct an isomorphism of this algebra to the usual algebra of functions equipped with a noncommutative \(\diamondsuit\) product. In order to be able to formulate dynamics and do field theory, we have to define derivatives and integration.
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On the Definition of Gauge Transformations in Gauge Theory

Annalen der Physik, 1984
AbstractThe different types of gauge transformations in gauge theory are discerned and defined in fiber bundle terms. The gauge gravitation case is analysed in order to examine various versions of the gauge gravitation theory.
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Gauge theories in the light-cone gauge

Physical Review D, 1990
A canonical formulation, using equal-time commutation rules for canonically conjugate operator-valued fields, is given for quantum electrodynamics and Yang-Mills theory in the light-cone gauge. A gauge-fixing term is used that avoids all operator constraints by providing a canonically conjugate momentum for every field component. The theory is embedded
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