Quantum q-field theory: Q-Schrödinger and q-Klein-Gordon fields

We show how to deal with the generalized q-Schrödinger and qKlein-Gordon fields in a variety of scenarios. These q-fields are meaningful at very high energies (TeVs) for for q = 1.15, high ones (GeVs) for q = 1.001, and low energies (MeVs)for q = 1.000001 [Nucl. Phys. A 948 (2016) 19; Nucl. Phys. A...

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Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2017
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/142627
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id I19-R120-10915-142627
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Non-linear Klein-Gordon equation
Non-linear Schrödinger equation
Classical Field Theory
Quantum Field Theory
spellingShingle Física
Non-linear Klein-Gordon equation
Non-linear Schrödinger equation
Classical Field Theory
Quantum Field Theory
Plastino, Ángel Luis
Rocca, Mario Carlos
Quantum q-field theory: Q-Schrödinger and q-Klein-Gordon fields
topic_facet Física
Non-linear Klein-Gordon equation
Non-linear Schrödinger equation
Classical Field Theory
Quantum Field Theory
description We show how to deal with the generalized q-Schrödinger and qKlein-Gordon fields in a variety of scenarios. These q-fields are meaningful at very high energies (TeVs) for for q = 1.15, high ones (GeVs) for q = 1.001, and low energies (MeVs)for q = 1.000001 [Nucl. Phys. A 948 (2016) 19; 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 q ≥ 1.15 . In this case for 2q − 1 = n (n integer ≥ 2) and analytically compute the self-energy and the propagator up to second order.
format Articulo
Preprint
author Plastino, Ángel Luis
Rocca, Mario Carlos
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_sort Plastino, Ángel Luis
title Quantum q-field theory: Q-Schrödinger and q-Klein-Gordon fields
title_short Quantum q-field theory: Q-Schrödinger and q-Klein-Gordon fields
title_full Quantum q-field theory: Q-Schrödinger and q-Klein-Gordon fields
title_fullStr Quantum q-field theory: Q-Schrödinger and q-Klein-Gordon fields
title_full_unstemmed Quantum q-field theory: Q-Schrödinger and q-Klein-Gordon fields
title_sort quantum q-field theory: q-schrödinger and q-klein-gordon fields
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/142627
work_keys_str_mv AT plastinoangelluis quantumqfieldtheoryqschrodingerandqkleingordonfields
AT roccamariocarlos quantumqfieldtheoryqschrodingerandqkleingordonfields
bdutipo_str Repositorios
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