Classical and quantum field-theoretical approach to the non-linear q-Klein-Gordon equation
- 1 November 2016
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 116 (4), 41001
- https://doi.org/10.1209/0295-5075/116/41001
Abstract
In the wake of efforts made Nobre and Rego-Monteiro in EPL, 97 (2012) 41001 and J. Math. Phys., 54 (2913) 103302, we extend them here by developing the conventional Lagrangian treatment of a classical field theory (FT) to the q-Klein-Gordon equation advanced in Phys. Rev. Lett., 106 (2011) 140601 and J. Math. Phys., 54 (2913) 103302 by the same authors, and the quantum theory corresponding to . This makes it possible to generate a putative conjecture regarding black matter. Our theory reduces to the usual FT for .Keywords
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