GAUGE FIELD THEORY WITHOUT GROUPS C

Gauge Field theory in Natural Geometric Language addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics. Selected mathematical and theoretical topics are exposed within a brief integrated approach that exploits standard and non-standard notions as well as recent advances in a natural geometric language in which the role of structure groups can be regarded as secondary even in the treatment of the gauge fields themselves proposing an original bridge between physics and mathematics this text will appeal not only to mathematicians who wish to understand some of the basic ideas involved in quantum particle physics but also to physicists who are not satisfied with the usual mathematical presentations of their field.