Natural and Gauge Natural Formalism for Classical Field Theorie

A Geometric Perspective including Spinors and Gauge Theories

  • Lorenzo Fatibene
  • Mauro Francaviglia

Table of contents

  1. Front Matter
    Pages i-xxi
  2. The Geometric Setting

    1. Front Matter
      Pages 1-6
    2. Lorenzo Fatibene, Mauro Francaviglia
      Pages 9-51
    3. Lorenzo Fatibene, Mauro Francaviglia
      Pages 53-78
    4. Lorenzo Fatibene, Mauro Francaviglia
      Pages 79-112
    5. Lorenzo Fatibene, Mauro Francaviglia
      Pages 113-124
    6. Lorenzo Fatibene, Mauro Francaviglia
      Pages 125-142
  3. The Varaiational Structure of Field Theories

    1. Front Matter
      Pages 143-149
    2. Lorenzo Fatibene, Mauro Francaviglia
      Pages 151-217
    3. Lorenzo Fatibene, Mauro Francaviglia
      Pages 219-268
    4. Lorenzo Fatibene, Mauro Francaviglia
      Pages 269-291
  4. Spinor Fields

    1. Front Matter
      Pages 293-298
    2. Lorenzo Fatibene, Mauro Francaviglia
      Pages 299-323
    3. Lorenzo Fatibene, Mauro Francaviglia
      Pages 325-347
    4. Lorenzo Fatibene, Mauro Francaviglia
      Pages 349-352
  5. Back Matter
    Pages 353-365

About this book

Introduction

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.

Keywords

Gravity Spinor fields gauge theories geometry spin

Authors and affiliations

  • Lorenzo Fatibene
    • 1
  • Mauro Francaviglia
    • 1
  1. 1.Department of MathematicsUniversity of TorinoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-2384-8
  • Copyright Information Springer Science+Business Media B.V. 2003
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6461-5
  • Online ISBN 978-94-017-2384-8
  • About this book
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