scholarly journals Summing over Spacetime Dimensions in Quantum Gravity

Symmetry ◽  
2020 ◽  
Vol 12 (1) ◽  
pp. 138 ◽  
Author(s):  
Erik Curiel ◽  
Felix Finster ◽  
Jose Maria Isidro
Keyword(s):  
Quantum Gravity ◽  
Scalar Particle ◽  
Minimal Length ◽  
Feynman Propagator ◽  
Free Scalar

Quantum-gravity corrections (in the form of a minimal length) to the Feynman propagator for a free scalar particle in R D are shown to be the result of summing over all dimensions D ′ ≥ D of R D ′ , each summand taken in the absence of quantum gravity.

Quantum gravity effects on scalar particle tunneling from rotating BTZ black hole

2018 ◽  
Vol 33 (12) ◽  
pp. 1850070 ◽  
Author(s):  
I. Ablu Meitei ◽  
T. Ibungochouba Singh ◽  
S. Gayatri Devi ◽  
N. Premeshwari Devi ◽  
K. Yugindro Singh
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Generalized Uncertainty Principle ◽  
Scalar Particle ◽  
Mass Energy ◽  
Btz Black Hole ◽  
Logarithmic Term ◽  
Scalar Particles ◽  
Gravity Effects ◽  
Correction Terms

Tunneling of scalar particles across the event horizon of rotating BTZ black hole is investigated using the Generalized Uncertainty Principle to study the corrected Hawking temperature and entropy in the presence of quantum gravity effects. We have determined explicitly the various correction terms in the entropy of rotating BTZ black hole including the logarithmic term of the Bekenstein–Hawking entropy [Formula: see text], the inverse term of [Formula: see text] and terms with inverse powers of [Formula: see text], in terms of properties of the black hole and the emitted particles — mass, energy and angular momentum. In the presence of quantum gravity effects, for the emission of scalar particles, the Hawking radiation and thermodynamics of rotating BTZ black hole are observed to be related to the metric element, hence to the curvature of space–time.

scholarly journals Quantum gravity effect on the Hawking radiation of spinning dilaton black hole

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Ganim Gecim ◽  
Yusuf Sucu
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Quantum Gravity ◽  
Total Angular Momentum ◽  
Vector Boson ◽  
Scalar Particle ◽  
Dirac Particle ◽  
Hawking Temperature ◽  
Quantum Gravity Effect ◽  
Dilaton Black Hole

Abstract The quantum gravity correction to the Hawking temperature of the 2+1 dimensional spinning dilaton black hole is studied by using the Hamilton-Jacobi approach in the context of the Generalized Uncertainty Principle (GUP). It is observed that the modified Hawking temperature of the black hole depends on both black hole and the tunnelling particle properties. Moreover, it is observed that the mass and the angular momentum of the scalar particle have the same effect on the Hawking temperature of the black hole, while the mass and total angular momentum (orbital+spin) of Dirac particle have different effect. Furthermore, the mass and total angular momentum (orbital+spin) of vector boson particle have a similar effect that of Dirac particle. Also, thermodynamical stability and phase transition of the black hole are discussed for scalar, Dirac and vector boson in the context of GUP, respectively. And, it is observed that the scalar particle probes the black hole as stable whereas, as for Dirac and vector boson particles, it might undergoes second-type phase transition to become stable while in the absence of the quantum gravity effect all of these particle probes the black hole as stable.

scholarly journals Exotic fermionic fields and minimal length

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
J. M. Hoff da Silva ◽  
D. Beghetto ◽  
R. T. Cavalcanti ◽  
R. da Rocha
Keyword(s):  
Dirac Equation ◽  
Quantum Gravity ◽  
Dirac Operator ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Dynamical Equations ◽  
Spacetime Manifold ◽  
Fermionic Fields

Abstract We investigate the effective Dirac equation, corrected by merging two scenarios that are expected to emerge towards the quantum gravity scale. Namely, the existence of a minimal length, implemented by the generalized uncertainty principle, and exotic spinors, associated with any non-trivial topology equipping the spacetime manifold. We show that the free fermionic dynamical equations, within the context of a minimal length, just allow for trivial solutions, a feature that is not shared by dynamical equations for exotic spinors. In fact, in this coalescing setup, the exoticity is shown to prevent the Dirac operator to be injective, allowing the existence of non-trivial solutions.

scholarly journals A minimal length from the cutoff modes in asymptotically safe quantum gravity

2006 ◽  
Vol 2006 (01) ◽  
pp. 070-070 ◽  
Author(s):  
Martin Reuter ◽  
Jan-Markus Schwindt
Keyword(s):  
Quantum Gravity ◽  
Minimal Length

scholarly journals Scalar Particles Tunneling Radiation in the Demianski-Newman Spacetime with Influences of Quantum Gravity

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Zhonghua Li
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Effective Temperature ◽  
Scalar Particle ◽  
Tunneling Radiation ◽  
Scalar Particles ◽  
Newman Black Hole

In this paper, using Hamilton-Jacobi ansatz, we investigate scalar particle tunneling radiation in the Demianski-Newman spacetime. We get the effective temperature with influences of quantum gravity and compare this temperature with the original temperature of the Demianski-Newman black hole. We find that it is similar to the case of fermions; for scalar particles, the influence of quantum gravity will also slow down the increase of Hawking temperatures, which naturally leads to remnants left in the evaporation.

scholarly journals Hamiltonian Renormalization V: Free Vector Bosons

2021 ◽  
Vol 7 ◽  
Author(s):  
K. Liegener ◽  
T. Thiemann
Keyword(s):  
Quantum Gravity ◽  
Coarse Graining ◽  
Scalar Fields ◽  
Recent Proposal ◽  
Fock Representation ◽  
Vector Bosons ◽  
Free Scalar ◽  
Fock Representations ◽  
Canonical Quantum Gravity ◽  
Canonical Quantum

In a recent proposal we applied methods from constructive QFT to derive a Hamiltonian Renormalization Group in order to employ it ultimately for canonical quantum gravity. The proposal was successfully tested for free scalar fields and thus a natural next step is to test it for free gauge theories. This can be done in the framework of reduced phase space quantization which allows using techniques developed earlier for scalar field theories. In addition, in canonical quantum gravity one works in representations that support holonomy operators which are ill defined in the Fock representation of say Maxwell or Proca theory. Thus, we consider toy models that have both features, i.e. which employ Fock representations in which holonomy operators are well-defined. We adapt the coarse graining maps considered for scalar fields to those theories for free vector bosons. It turns out that the corresponding fixed pointed theories can be found analytically.

scholarly journals QUANTUM GRAVITY SIGNALS IN NEUTRINO OSCILLATIONS

2011 ◽  
Vol 20 (supp02) ◽  
pp. 1-6 ◽  
Author(s):  
MARTIN SPRENGER ◽  
PIERO NICOLINI ◽  
MARCUS BLEICHER
Keyword(s):  
Quantum Gravity ◽  
Neutrino Oscillations ◽  
Minimal Length

We investigate the effect of a Quantum Gravity-induced minimal length on neutrino oscillations. The minimal length is implemented in a phenomenological framework, allowing us to make predictions independently of any fundamental approach. We obtain clear minimal length signatures and discuss their observability in current and future experiments. We present an overview over other scenarios in which the minimal length leaves its signature and show new results concerning minimal length thermodynamics.

scholarly journals Quantum gravity effects on charged microblack holes thermodynamics

2016 ◽  
Vol 31 (23) ◽  
pp. 1650129 ◽  
Author(s):  
Niloofar Abbasvandi ◽  
M. J. Soleimani ◽  
Shahidan Radiman ◽  
W. A. T. Wan Abdullah
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Minimal Length ◽  
Charged Black Hole ◽  
Type I ◽  
Potential Candidate ◽  
Heisenberg Uncertainty Principle ◽  
Gravity Effects ◽  
Maximal Momentum

The charged black hole thermodynamics is corrected in terms of the quantum gravity effects. Most of the quantum gravity theories support the idea that near the Planck scale, the standard Heisenberg uncertainty principle should be reformulated by the so-called Generalized Uncertainty Principle (GUP) which provides a perturbation framework to perform required modifications of the black hole quantities. In this paper, we consider the effects of the minimal length and maximal momentum as GUP type I and the minimal length, minimal momentum and maximal momentum as GUP type II on thermo dynamics of the charged TeV-scale black holes. We also generalized our study to the universe with the extra dimensions based on the ADD model. In this framework, the effect of the electrical charge on thermodynamics of the black hole and existence of the charged black hole remnants as a potential candidate for the dark matter particles are discussed.

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