| Issue |
EPL
Volume 116, Number 4, November 2016
|
|
|---|---|---|
| Article Number | 41001 | |
| Number of page(s) | 4 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/116/41001 | |
| Published online | 03 January 2017 | |
Classical and quantum field-theoretical approach to the non-linear q-Klein-Gordon equation
La Plata National University and Argentina's National Research Council (IFLP-CCT-CONICET) C. C. 727, 1900 La Plata, Argentina
Received: 12 October 2016
Accepted: 11 December 2016
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 
.
PACS: 11.10.-z – Field theory / 11.10.Ef – Lagrangian and Hamiltonian approach / 11.10.Lm – Nonlinear or nonlocal theories and models
© EPLA, 2016
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