Generalized Dirac equation and its symmetries

Kourosh Nozari

Chaos, Solitons & Fractals, 2007, vol. 32, issue 2, 302-311

Abstract: Existence of a minimal observable distance on the order of Planck length is an immediate consequence of the Generalized Uncertainty Principle (GUP). As a result, relativistic quantum mechanics should be generalized to incorporate such a novel feature. The resulting theory may be considered as an effective relativistic quantum mechanics for the Planck scale regime. In this paper, we find generalized Dirac equation in GUP framework and solve its eigenvalue problem for a free particle. Lagrangian of generalized Dirac field is obtained and its symmetry properties are discussed. Finally, CPT symmetries will be re-examined in the framework of generalized Dirac theory. We show that, up to first order in GUP parameter, Noether’s theorem and CPT symmetries are not broken in GUP framework.

Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077906006485
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:2:p:302-311

DOI: 10.1016/j.chaos.2006.06.056

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().