The Quantum Collective Field Method and Its Application to the Planar Limit
Sep, 197917 pages
Published in:
- Nucl.Phys.B 165 (1980) 511
- Published: 1980
Report number:
- BROWN HET-397
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Abstract: (Elsevier)
We formulate a general method of collective fields in quantum theory, which represents a direct generalization of the Bohm-Pines treatment of plasma oscillations. The present method provides a complete procedure for reformulating a given quantum system in terms of a most general (overcomplete) set of commuting operators. We point out and exemplify how this formalism offers a new powerful method for studying the large- N limit. For illustration we discuss the collective motions of N identical harmonic oscillators. As a much more important application, we show how, based on the present formalism, one solves the planar limit of a non-trivial SU( N ) symmetric quantum theory.- collective phenomena
- model: oscillator
- field theory: SU(N)
- approximation: planar
- quantum mechanics
- Schroedinger equation
- expansion 1/N
- perturbation theory
- transformation: unitarity
- gauge field theory: Yang-Mills
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