| Issue |
EPL
Volume 118, Number 6, June 2017
|
|
|---|---|---|
| Article Number | 61004 | |
| Number of page(s) | 5 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/118/61004 | |
| Published online | 01 September 2017 | |
Quantum q-field theory: q-Schrödinger and q-Klein-Gordon fields
La Plata National University and Argentina's National Research Councilm (IFLP-CCT-CONICET) C. C. 727, 1900 La Plata, Argentina
Received: 21 April 2017
Accepted: 8 August 2017
We show how to deal with the generalized q-Schrödinger and q-Klein-Gordon fields in a variety of scenarios. These q-fields are meaningful at very high energies (TeVs) for 
high ones (GeVs) for 
and at low energies (MeVs) for 
(Plastino A. and Rocca M., Nucl. Phys. A, 948 (2016) 19; Plastino A. et al., Nucl. Phys. A, 955 (2016) 16). (See the Alice experiment of LHC.) We develop here the quantum field theory (QFT) for the q-Schrödinger and q-Klein-Gordon fields showing that both reduce to the customary Schrödinger and Klein-Gordon QFTs for q close to unity. Further we analyze the q-Klein-Gordon field for 
. In this case for 
(n integer 
) and analytically compute the self-energy and the propagator up to second order.
PACS: 11.10.Ef – Lagrangian and Hamiltonian approach / 11.10.Lm – Nonlinear or nonlocal theories and models
© EPLA, 2017
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