Classical and quantum field-theoretical approach to the non-linear q-Klein-Gordon equation

Classical and quantum field-theoretical approach to the non-linear q-Klein-Gordon equation

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 an...

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Veröffentlicht in:Europhysics letters 2016-11, Vol.116 (4), p.41001-41001
Hauptverfasser: Plastino, A., Rocca, M. C.
Format: Artikel
Sprache:eng
Schlagworte:
11.10.-z
11.10.Ef
11.10.Lm
Field theory
Klein-Gordon equation
Mathematical analysis
Nonlinearity
Quantum theory
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Zusammenfassung: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 .
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/116/41001