What is a gauge theory?
Classical electromagnetism : a paradigm gauge theory
A fiber bundle formulation
Electromagnetic interactions of quantum particles
Electromagnetic interactions of matter fields
The Aharonov-Bohm effect
Fiber bundles
A gauge-invariant, local explanation?
Geometry and topology in the Aharonov-Bohm effect
Locality in the Aharonov-Bohm effect
Lessons for classical electromagnetism
Classical gauge theories
Non-Abelian Yang-Mills theories
The fiber bundle formulation
Loops, groups, and hoops
Topological issues
A fiber bundle formulation of general relativity
A gravitational analog to the Aharonov-Bohm effect
Interpreting classical gauge theories
The no gauge potential properties view
The localized gauge potential properties view
Problems defining theoretical terms
Leeds's view
Maudlin's interpretation
The non-localized gauge potential properties view
A holonomy interpretation
Epistemological considerations
Objections considered
Semantic considerations
Metaphysical implications : non-separability and holism
Quantized Yang-Mills gauge theories
How to quantize a classical field
Coulomb gauge quantization
Lorenz gauge quantization
Classical electromagnetism as a constrained Hamiltonian system
The free Maxwell field as a Hamiltonian system
Path-integral quantization
Canonical quantization of non-Abelian fields
Path-integral quantization of non-Abelian fields
Interacting fields in the Lagrangian formulation
The empirical import of gauge symmetry
Two kinds of symmetry
Observing gauge symmetry?
The gauge argument
Ghost fields
Spontaneous symmetry-breaking
The [theta]-vacuum
Anomalies
Loop representations
The significance of loop representations
Loop representations of the free Maxwell field
Loop representations of other free Yang-Mills fields
Interacting fields in loop representations
The [theta]-vacuum in a loop representation
Interpreting quantized Yang-Mills gauge theories
Auyang's event ontology
Problems of interpreting a quantum field theory
Particle interpretations
Bohmian interpretations
Copenhagen interpretations
Everettian interpretations
Modal interpretations
Conclusions
Electromagnetism and its generalizations
Fiber bundles
The constrained Hamiltonian formalism
Alternative quantum representations
Algebraic quantum field theory
Interpretations of quantum mechanics
The Copenhagen interpretation
Bohmian mechanics
Everettian interpretations
Modal interpretations.
OBNB doesn't sell books, but you may be able to find a copy at one of these websites:
Gauging what's real : the conceptual foundations of contemporary gauge theories by Richard Healey. ISBN 9780199287963. Published by Oxford University Press in 2007. Publication and catalogue information, links to buy online and reader comments.
