Natural and Gauge Natural Formalism for Classical Field Theories : A Geometric Perspective including Spinors and Gauge Theories

Natural and Gauge Natural Formalism for Classical Field Theories : A Geometric Perspective including Spinors and Gauge Theories

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Book Description
In this book the authors develop and work out applications to gravity and gauge theories and their interactions with generic matter fields, including spinors in full detail. Spinor fields in particular appear to be the prototypes of truly gauge-natural objects, which are not purely gauge nor purely natural, so that they are a paradigmatic example of the intriguing relations between gauge natural geometry and physical phenomenology. In particular, the gauge natural framework for spinors is developed in this book in full detail, and it is shown to be fundamentally related to the interaction between fermions and dynamical tetrad gravity.

Book Info
Text develops and works out applications to gravity and gauge theories and their interactions with generic matter fields. For researchers and graduate students in theoretical physics, mathematical physics, and differential geometry. Includes index, references, and exercises.

Natural and Gauge Natural Formalism for Classical Field Theories: A Geometric Perspective including Spinors and Gauge Theories,L. Fatibene,M. Francaviglia,Springer,1402017030,Fiber bundles (Mathematics),Field theory (Physics),General,Geometry, Differential,Mathematical Physics,Mathematics,Science,Science/Mathematics,Science / Mathematical Physics,Theoretical methods

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