Fiber Bundle Gauge Theories and "Field's Dilemma"

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dc.creatorGuttmann, Yair
dc.creatorLyre, Holger
dc.date2000-05-19
dc.date.accessioned2026-07-07T05:44:07Z
dc.date.available2026-07-07T05:44:07Z
dc.descriptionWe propose a distinction between the physical and the mathematical parts of gauge field theories. The main problem we face is to uphold a strong and meaningful criterion of what is physical. We like to call it "Field's dilemma", referring to Hartry Field's nominalist proposal which we consider to be inadaequate. The resolution to the dilemma, we believe, is implicitly provided by the so-called fiber bundle formalism. We shall demonstrate, in detail, that the bundle structure underlying modern quantum and gravitational gauge field theories allows for a genuine distinction between the physically significant and the merely mathematical parts of these theories.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/physics/0005051
dc.identifierhttp://arxiv.org/abs/physics/0005051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83510
dc.subjectHistory and Philosophy of Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Physics
dc.subjectQuantum Physics
dc.titleFiber Bundle Gauge Theories and "Field's Dilemma"
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