Canonical brackets of a toy model for the Hodge theory without its canonical conjugate momenta
arXiv:1412.0215 · doi:10.1142/S0217751X15501158
Abstract
We consider the toy model of a rigid rotor as an example of the Hodge theory within the framework of the Becchi-Rouet-Stora-Tyutin (BRST) formalism and show that the internal symmetries of this theory lead to the derivation of canonical brackets amongst the creation and annihilation operators of the dynamical variables where the definition of the canonical conjugate momenta is not required. We invoke only the spin-statistics theorem, normal ordering and basic concepts of continuous symmetries (and their generators) to derive the canonical brackets for the model of a one (0 + 1)-dimensional (1D) rigid rotor without using the definition of the canonical conjugate momenta anywhere. Our present method of derivation of the basic brackets is conjectured to be true for a class of theories that provide a set of tractable physical examples for the Hodge theory.
arXiv commentLaTeX file, 19 pages, journal version
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Cited by in corpus (4)
- BRST Analysis and BFV Quantization of the Generalized Quantum Rigid Rotor
- N = 2 Supersymmetric Harmonic Oscillator: Basic Brackets Without Canonical Conjugate Momenta
- Basic Brackets of a 2D Model for the Hodge Theory without its Canonical Conjugate Momenta
- Universal Superspace Unitary Operator for Some Interesting Abelian Models: Superfield Approach