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

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 li...

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Bibliographic Details
Main Authors: Dimitrijević, Dragoljub D, Djordjević, Goran S, Milošević Milan, Dumitru, Vulcanov
Format: Conference Proceeding
Language:English
Subjects:
ACTION INTEGRAL
D-BRANES
FEYNMAN PATH INTEGRAL
INFLATIONARY UNIVERSE
M-THEORY
ONE-DIMENSIONAL CALCULATIONS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POTENTIALS
PROPAGATOR
QUANTUM MECHANICS
STRING MODELS
STRING THEORY
TACHYONS
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4903007