Volume 118, Number 6, June 2017
|Number of page(s)||5|
|Section||The Physics of Elementary Particles and Fields|
|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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