An Interacting Gauge Field Theoretic Model for Hodge Theory: Basic Canonical Brackets |
| |
Authors: | RKumar SGupta RPMalik |
| |
Institution: | 1. Department of Physics, Centre of Advanced Studies, Banaras Hindu University, Varanasi-221 005, (U. P.), India;
2. DST Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University, Varanasi-221 005, (U. P.), India |
| |
Abstract: | We derive the basic canonical brackets amongst the creation and annihilation operators for a two (1 + 1)-dimensional (2D) gauge field theoretic model of an interacting Hodge theory where a U(1) gauge field (Aμ) is coupled with the fermionic Dirac fields (ψ and ψ). In this derivation, we exploit the spin-statistics theorem, normal ordering and the strength of the underlying six infinitesimal continuous symmetries (and the concept of their generators) that are present in the theory. We do not use the definition of the canonical conjugate momenta (corresponding to the basic fields of the theory) anywhere in our whole discussion. Thus, we conjecture that our present approach provides an alternative to the canonical method of quantization for a class of gauge field theories that are physical examples of Hodge theory where the continuous symmetries (and corresponding generators) provide the physical realizations of the de Rham cohomological operators of differential geometry at the algebraic level. |
| |
Keywords: | continuous symmetries D QED with fermionic Dirac fields symmetry principles basic canonical(anti)commutators creation and annihilation operators conserved charges as generators de Rham cohomological operators Hodge theory |
本文献已被 CNKI 维普 等数据库收录! |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|