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- Title
Canonical brackets of a toy model for the Hodge theory without its canonical conjugate momenta.
- Authors
Shukla, D.; Bhanja, T.; Malik, R. P.
- Abstract
We consider the toy model of a rigid rotor as an example of the Hodge theory within the framework of 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 -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.
- Subjects
HODGE theory; ANNIHILATION reactions; MATHEMATICS theorems; RIGID rotors (Plasma physics); MODEL theory
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2015, Vol 30, Issue 20, p-1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X15501158