0000000000139023

AUTHOR

Kenichi Horie

showing 2 related works from this author

Fibre Bundle for Spin and Charge in General Relativity

2000

The Lorentzian and spin structures of general relativity are shown to allow a natural extension, by means of which the set of possible electromagnetic bundles is linked to the topology and geometry of the underlying causal structure. Further, both the Dirac operator and the electromagnetic potential are obtainable from a single linear connection 1-form.

Connection (fibred manifold)PhysicsGeneral relativityStatistical and Nonlinear PhysicsFour-forceDirac operatorMathematics of general relativitysymbols.namesakeTheory of relativityClassical mechanicssymbolsFiber bundleMathematical PhysicsCausal fermion systemCommunications in Mathematical Physics
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Inequivalent Quantizations of Gauge Theories

1999

It is known that the quantization of a system defined on a topologically non-trivial configuration space is ambiguous in that many inequivalent quantum systems are possible. This is the case for multiply connected spaces as well as for coset spaces. Recently, a new framework for these inequivalent quantizations approach has been proposed by McMullan and Tsutsui, which is based on a generalized Dirac approach. We employ this framework for the quantization of the Yang-Mills theory in the simplest fashion. The resulting inequivalent quantum sectors are labelled by quantized non-dynamical topological charges.

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsFOS: Physical sciencesAstronomy and AstrophysicsAtomic and Molecular Physics and OpticsQuantization (physics)Theoretical physicsHigh Energy Physics::TheoryHigh Energy Physics - Theory (hep-th)CosetGauge theoryConfiguration spaceQuantum
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