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Gauge Theory on a Quantum Phase Space
In this note we present a operator formulation of gauge theories in a quantum phase space which is specified by a operator algebra. For simplicity we work with the Heisenberg algebra. We introduce the notion of the derivative (transport) and Wilson line (parallel transport) which enables us to const...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
2000
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1016/S0370-2693(01)00125-3 http://cds.cern.ch/record/445304 |
| Sumario: | In this note we present a operator formulation of gauge theories in a quantum phase space which is specified by a operator algebra. For simplicity we work with the Heisenberg algebra. We introduce the notion of the derivative (transport) and Wilson line (parallel transport) which enables us to construct a gauge theory in a simple way. We illustrate the formulation by a discussion of the Higgs mechanism and comment on the large N masterfield. |
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