Natural and gauge natural formalism for classical field theories
Subtitle: a geometric perspective including spinors and gauge theories
By: by Lorenzo Fatibene and Mauro Francaviglia
Contributors: Francaviglia, M.
Publisher: Springer Science+Business Media
Published: 2003
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 365
ISBN-13: 9789401723848; 9789048164615
Subjects: Differential Geometry; Fiber bundles (Mathematics); Mathematical physics; Field theory (Physics)
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.
Notes: Includes bibliographical references and index.