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Title: On classical and quantum dynamics of tachyon-like fields and their cosmological implications

Abstract

We consider a class of tachyon-like potentials, motivated by string theory, D-brane dynamics and inflation theory in the context of classical and quantum mechanics. A formalism for describing dynamics of tachyon fields in spatially homogenous and one-dimensional - classical and quantum mechanical limit is proposed. A few models with concrete potentials are considered. Additionally, possibilities for p-adic and adelic generalization of these models are discussed. Classical actions and corresponding quantum propagators, in the Feynman path integral approach, are calculated in a form invariant on a change of the background number fields, i.e. on both archimedean and nonarchimedean spaces. Looking for a quantum origin of inflation, relevance of p-adic and adelic generalizations are briefly discussed.

Authors:
 [1];  [2]
  1. Department of Physics, Faculty of Science and Mathematics, University of Niš (Serbia)
  2. Faculty of Physics, West University of Timisoara (Romania)
Publication Date:
OSTI Identifier:
22390745
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1634; Journal Issue: 1; Conference: TIM-13 Physics Conference, Timisoara (Romania), 21-24 Nov 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; D-BRANES; FEYNMAN PATH INTEGRAL; INFLATIONARY UNIVERSE; M-THEORY; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS; PROPAGATOR; QUANTUM MECHANICS; STRING MODELS; STRING THEORY; TACHYONS

Citation Formats

Dimitrijević, Dragoljub D., E-mail: ddrag@pmf.ni.ac.rs, Djordjević, Goran S., E-mail: ddrag@pmf.ni.ac.rs, Milošević, Milan, and Vulcanov, Dumitru. On classical and quantum dynamics of tachyon-like fields and their cosmological implications. United States: N. p., 2014. Web. doi:10.1063/1.4903007.
Dimitrijević, Dragoljub D., E-mail: ddrag@pmf.ni.ac.rs, Djordjević, Goran S., E-mail: ddrag@pmf.ni.ac.rs, Milošević, Milan, & Vulcanov, Dumitru. On classical and quantum dynamics of tachyon-like fields and their cosmological implications. United States. https://doi.org/10.1063/1.4903007
Dimitrijević, Dragoljub D., E-mail: ddrag@pmf.ni.ac.rs, Djordjević, Goran S., E-mail: ddrag@pmf.ni.ac.rs, Milošević, Milan, and Vulcanov, Dumitru. 2014. "On classical and quantum dynamics of tachyon-like fields and their cosmological implications". United States. https://doi.org/10.1063/1.4903007.
@article{osti_22390745,
title = {On classical and quantum dynamics of tachyon-like fields and their cosmological implications},
author = {Dimitrijević, Dragoljub D., E-mail: ddrag@pmf.ni.ac.rs and Djordjević, Goran S., E-mail: ddrag@pmf.ni.ac.rs and Milošević, Milan and Vulcanov, Dumitru},
abstractNote = {We consider a class of tachyon-like potentials, motivated by string theory, D-brane dynamics and inflation theory in the context of classical and quantum mechanics. A formalism for describing dynamics of tachyon fields in spatially homogenous and one-dimensional - classical and quantum mechanical limit is proposed. A few models with concrete potentials are considered. Additionally, possibilities for p-adic and adelic generalization of these models are discussed. Classical actions and corresponding quantum propagators, in the Feynman path integral approach, are calculated in a form invariant on a change of the background number fields, i.e. on both archimedean and nonarchimedean spaces. Looking for a quantum origin of inflation, relevance of p-adic and adelic generalizations are briefly discussed.},
doi = {10.1063/1.4903007},
url = {https://www.osti.gov/biblio/22390745}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1634,
place = {United States},
year = {Mon Nov 24 00:00:00 EST 2014},
month = {Mon Nov 24 00:00:00 EST 2014}
}