Gauge theory on a quantum phase space
May, 200013 pages
Published in:
- Phys.Lett.B 501 (2001) 319-325
e-Print:
- hep-th/0006219 [hep-th]
Report number:
- CERN-TH-2000-130,
- TIFR-TH-00-33
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Abstract:
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.- phase space: quantum space
- operator: algebra
- algebra: Heisenberg
- gauge field theory: U(N)
- operator: derivative
- Wilson loop
- spontaneous symmetry breaking
- expansion 1/N
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