Ultraviolet behavior in background independent quantum field theory

Husain, Viqar; Kreienbuehl, Andreas

doi:10.1103/physrevd.81.084043

Cited by 25 publications

(43 citation statements)

References 29 publications

(35 reference statements)

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“…This modifies the kinetic energy, and constitutes the origin of "polymer corrections," while yielding in a suitable limit the standard Schrodinger results [15,19]. For polymer corrected cosmological dynamics we wish to calculate the scalar energy density…”

Section: Polymer Quantization Of the Scalar Fieldmentioning

confidence: 99%

“…Unlike in Schrodinger quantization there is no Fourier transform connecting these, as the basic classical variables are quite different. The approach we take was introduced in [15], which is the one we use in this work.…”

Section: Polymer Quantization Of the Scalar Fieldmentioning

confidence: 99%

“…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%

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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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Section: Polymer Quantization Of the Scalar Fieldmentioning

confidence: 99%

Section: Polymer Quantization Of the Scalar Fieldmentioning

confidence: 99%

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Polymer inflation

2015

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“…There are however interesting dynamical possibilities for the exterior for other values of k. These are obtained by finding the functions m(v) and g(v) such that on the interface R(v) given by (20) we have…”

Section: Exterior Solutionmentioning

confidence: 99%

“…It is this fact that has the potential to lead to interesting new physics at short distances while recovering standard quantum mechanics at large distances. This quantization prescription has been applied to the scalar field [17][18][19][20] and to semiclassical gravity in the case of homogeneous cosmology [21].…”

Section: Introductionmentioning

confidence: 99%

Gravitational collapse of quantum matter

Tippett

Husain

2011

Phys. Rev. D

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We describe a class of exactly soluble models for gravitational collapse in spherical symmetry obtained by patching dynamical spherically symmetric exterior spacetimes with cosmological interior spacetimes. These are generalizations of the Oppenheimer-Snyder type models to include classical and quantum scalar fields as sources for the interior metric, and null fluids with pressure as sources for the exterior metric. In addition to dynamical exteriors, the models exhibit other novel features such as evaporating horizons and singularity avoidance without quantum gravity.

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Quantum scalar field in quantum gravity: the propagator and Lorentz invariance in the spherically symmetric case

2011

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We recently studied gravity coupled to a scalar field in spherical symmetry using loop quantum gravity techniques. Since there are local degrees of freedom one faces the "problem of dynamics". We attack it using the "uniform discretization technique". We find the quantum state that minimizes the value of the master constraint for the case of weak fields and curvatures. The state has the form of a direct product of Gaussians for the gravitational variables times a modified Fock state for the scalar field. In this paper we do three things. First, we verify that the previous state also yields a small value of the master constraint when one polymerizes the scalar field in addition to the gravitational variables. We then study the propagators for the polymerized scalar field in flat space-time using the previously considered ground state in the low energy limit. We discuss the issue of the Lorentz invariance of the whole approach. We note that if one uses real clocks to describe the system, Lorentz invariance violations are small. We discuss the implications of these results in the light of Hořava's Gravity at the Lifshitz point and of the argument about potential large Lorentz violations in interacting field theories of Collins et al.

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Ultraviolet behavior in background independent quantum field theory

Cited by 25 publications

References 29 publications

Polymer inflation

Polymer inflation

Gravitational collapse of quantum matter

Quantum scalar field in quantum gravity: the propagator and Lorentz invariance in the spherically symmetric case

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