Classical field theory and the stress-energy tensor /

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This book is a concise introduction to the key concepts of classical field theory for beginning graduate students and advanced undergraduate students who wish to study the unifying structures and physical insights provided by classical field theory without dealing with the additional complication of...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Swanson, Mark S. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA): Morgan & Claypool Publishers, [2015]
Colección:IOP (Series). Release 2.
IOP concise physics.
Temas:
Field theory (Physics)
Classical mechanics.
SCIENCE / Physics / General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • Acknowledgements
  • Author biography
  • 1. Basic field theory
  • Newtonian mechanics and Galilean relativity
  • The action principle
  • The stretched string as a field theory
  • The wave equation
  • Energy and momentum in field theories
  • Point sources and Green's functions in field theory
  • Further reading
  • 2. Newtonian fluid dynamics
  • Fluid flow from Newtonian physics
  • Basic applications of the Navier-Stokes equation
  • Viscosity
  • The action formulation of perfect fluids
  • Fluctuations around solutions and stability
  • Further reading
  • 3. Special relativity, field theory and symmetry
  • Special relativity
  • Basic effects of special relativity
  • Relativistic mechanics
  • Relativistic tensor fields and quadratic actions
  • Relativistic spinor fields and quadratic actions
  • Symmetry in relativistic field theory
  • Further reading
  • 4. Classical electrodynamics
  • Maxwell's equations
  • The gauge field and gauge conditions
  • The gauge field action and minimal coupling
  • vii
  • The stress-energy tensor and electrodynamic force and energy
  • Electromagnetic waves and spin
  • Green's functions and electromagnetic radiation
  • The gauge field as a differential form
  • Further reading
  • 5. General relativity and gravitation
  • The metric tensor and the principle of equivalence
  • The affine connection and the covariant derivative
  • The curvature tensor
  • Variational techniques in general relativity
  • Einstein's equation
  • Vacuum solutions to Einstein's equation
  • Basic cosmology
  • Further reading
  • 6. Yang-Mills fields and connections
  • Unitary symmetry and Yang-Mills fields
  • The Yang-Mills stress-energy tensor and force equation
  • Spontaneous breakdown of symmetry
  • Aspects of classical solutions for Yang-Mills fields
  • Yang-Mills fields, gravitation, forms and connections
  • Yang-Mills fields and confinement
  • Further reading
  • Appendix. Mathematics for field theory.

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