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

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

Paperback

General MathematicsGeometryPhysics

ISBN10: 9048164613
ISBN13: 9789048164615
Publisher: Springer Nature
Published: Dec 1 2010
Pages: 365
Weight: 1.19
Height: 0.80 Width: 6.14 Depth: 9.21
Language: English
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.

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