Lagrange multiplier and Wess-Zumino variable as extra dimensions in the torus universe

A bstract We study the effect of the simplest geometry which is imposed via the topology of the universe by gauging non-relativistic particle model on torus and 3-torus with the help of symplectic formalism of constrained systems. Also, we obtain generators of gauge transformations for gauged models...

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Bibliographic Details
Published in:The journal of high energy physics 2018-01, Vol.2018 (1), p.1-33, Article 17
Main Authors: Nejad, Salman Abarghouei, Dehghani, Mehdi, Monemzadeh, Majid
Format: Article
Language:English
Subjects:
Astronomical models
Classical and Quantum Gravitation
Elementary Particles
Gaging
Gauge-gravity correspondence
High energy physics
Lagrange multiplier
Large Extra Dimensions
Models of Quantum Gravity
Phenomenology
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativistic particles
Relativity Theory
Shape effects
String Theory
Topology
Toruses
Universe
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Summary:A bstract We study the effect of the simplest geometry which is imposed via the topology of the universe by gauging non-relativistic particle model on torus and 3-torus with the help of symplectic formalism of constrained systems. Also, we obtain generators of gauge transformations for gauged models. Extracting corresponding Poisson structure of existed constraints, we show the effect of the shape of the universe on canonical structure of phase-spaces of models and suggest some phenomenology to prove the topology of the universe and probable non-commutative structure of the space. In addition, we show that the number of extra dimensions in the phase-spaces of gauged embedded models are exactly two. Moreover, in classical form, we talk over modification of Newton’s second law in order to study the origin of the terms appeared in the gauged theory.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2018)017