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

In the wake of efforts made in <i>EPL</i>, (2012) 41001 and <i>J. Math. Phys.</i>, 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 <i>Phys. Rev. Lett.&l...

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Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Ciencias Exactas
Física
Field theory
Lagrangian and Hamiltonian approach
Nonlinear or nonlocal theories and models
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124171
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario:In the wake of efforts made in <i>EPL</i>, (2012) 41001 and <i>J. Math. Phys.</i>, 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 <i>Phys. Rev. Lett.</i>, 106 (2011) 140601 and <i>J. Math. Phys.</i>, 54 (2913) 103302 by the same authors, and the quantum theory corresponding to q = 3/2. This makes it possible to generate a putative conjecture regarding black matter. Our theory reduces to the usual FT for q → 1.

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