Quantum gravity and the Coulomb potential

Husain, Viqar; Louko, Jorma; Winkler, Oliver

doi:10.1103/physrevd.76.084002

Cited by 38 publications

(70 citation statements)

References 24 publications

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“…This approach has served to handle in a simpler context some novel aspects involved in the loop quantum gravity proposal like, say, singular potentials [3], validity of Galilean symmetry [4] or modifications of the uncertainty principle [1,5].…”

Section: Introductionmentioning

confidence: 99%

On microstates counting in many body polymer quantum systems

Chacón‐Acosta¹,

Dagdug²,

Ureña–López³

et al. 2011

AIP Conference Proceedings

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Polymer quantum systems are mechanical models quantized in a similar way as loop quantum gravity but in which loops/graphs resembling polymers are replaced by discrete sets of points. Such systems have allowed to study in a simpler context some novel aspects of loop quantum gravity. Although thermal aspects play a crucial role in cosmology and black hole physics little attention has been given to the thermostatistics of many body polymer quantum systems. In this work we explore how the features of a one-dimensional effective polymer gas, affect its microstate counting and hence the corresponding thermodynamical quantities.

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Section: Introductionmentioning

confidence: 99%

On microstates counting in many body polymer quantum systems

Chacón‐Acosta¹,

Dagdug²,

Ureña–López³

et al. 2011

AIP Conference Proceedings

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“…A related method using different variables was applied to scalar field theory dynamics on flat spacetime [13][14][15], and to other quantum mechanical systems [16][17][18][19]. The Schrödinger limit of polymer quantization has also been discussed in detail [20,21].…”

Section: Introductionmentioning

confidence: 99%

Polymer inflation

2015

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We consider the semi-classical dynamics of a free massive scalar field in a homogeneous and isotropic cosmological spacetime. The scalar field is quantized using the polymer quantization method assuming that it is described by a gaussian coherent state. For quadratic potentials, the semi-classical equations of motion yield a universe that has an early "polymer inflation" phase which is generic and almost exactly de Sitter, followed by a epoch of slow-roll inflation. We compute polymer corrections to the slow roll formalism, and discuss the probability of inflation in this model using a physical Hamiltonian arising from time gauge fixing. We also show how in this model, it is possible to obtain a significant amount of slow-roll inflation from sub-Planckain initial data, hence circumventing some of the criticisms of standard scenarios. These results show the extent to which a quantum gravity motivated quantization method affects early universe dynamics.

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“…Equation (5) defines a regular representation of the Weyl superalgebra whose multiplication is given by (6). Its polymer version is just a nonregular, i.e.…”

Section: Polymerization Of the Fermi Oscillatormentioning

confidence: 99%

“…Among the systems that PQM has been able to analyze are the study of the problematics to incorporate a Galilean symmetry to it [5], an analysis of singular potentials [6,7], a particle in the half real line [8], the time diffraction [9] and the tunnel effect of polymer particles [10].…”

Section: Introductionmentioning

confidence: 99%

Thermal properties for an ensemble of polymer Fermi oscillators

Chacón‐Acosta

García-Chung

Hernandez-Hernandez

2015

J. Phys.: Conf. Ser.

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Abstract.Polymer quantum mechanics is a model inspired on loop quantum gravity in which one can study, in a simplified way, some properties of certain quantum mechanical models. There is a length parameter in this model, known as the polymer scale, comprising the discreteness introduced in this particular quantization. There is a recent analysis on quantum fields where the Fermi oscillator is polymerized by means of a non-analytic representation of the corresponding Weyl super-algebra, its energy spectrum acquires modifications by the introduction of polymer parameters, which turn out to be super-numbers. In this work we present the first step in studying thermostatistical properties of an ensemble of Fermi oscillators. As an initial approximation we consider the polymer parameters as real deviations from their usual values. We obtain modifications to the thermal properties of the system in terms of polymer parameters. In the last section we critically discuss the possible physical significance of the results.

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Quantum gravity and the Coulomb potential

Cited by 38 publications

References 24 publications

On microstates counting in many body polymer quantum systems

On microstates counting in many body polymer quantum systems

Polymer inflation

Thermal properties for an ensemble of polymer Fermi oscillators

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