http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
the conceptual foundations of contemporary gauge theories
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.
Includes bibliographical references (pages [280]-286) and index.