scholarly journals Covariant loop quantum gravity, low-energy perturbation theory, and Einstein gravity with high-curvature UV corrections

2014 ◽  
Vol 89 (12) ◽  
Author(s):  
Muxin Han
Keyword(s):  
Perturbation Theory ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Einstein Gravity ◽  
Low Energy ◽  
Energy Perturbation

NONRENORMALIZABILITY MAY BE SUPERFICIAL IN THE COVARIANT FORMALISM OF QUANTUM GRAVITY

1995 ◽  
Vol 10 (21) ◽  
pp. 1501-1506 ◽  
Author(s):  
MITSUO ABE ◽  
NOBORU NAKANISHI
Keyword(s):  
Perturbation Theory ◽  
Quantum Gravity ◽  
Ad Hoc ◽  
Einstein Gravity ◽  
Gravity Theory ◽  
Usual Sense ◽  
Covariant Formalism ◽  
Perturbative Approach

It is pointed out that the nonrenormalizability of quantum Einstein gravity may be caused by the inadequacy of the conventional perturbative approach. It is more reasonable to reconsider the problem in the light of a newly proposed perturbative scheme, which is free of the ad hoc assumption on which the conventional perturbation theory is based. It is explicitly shown that there is a gravity-theory example which is nonrenormalizable in the usual sense but completely finite if the new perturbative scheme is applied.

scholarly journals Some Remarks on High Derivative Quantum Gravity

1997 ◽  
Vol 12 (32) ◽  
pp. 5711-5734 ◽  
Author(s):  
M. Asorey ◽  
J. L. López ◽  
I. L. Shapiro
Keyword(s):  
Quantum Gravity ◽  
High Derivative ◽  
Einstein Gravity ◽  
Low Energy ◽  
Local Action ◽  
Quantum Corrections ◽  
Asymptotic Freedom ◽  
Low Energies ◽  
Gauge Fixing ◽  
High Derivative Gravity

We analyze the perturbative implications of the most general high derivative approach to quantum gravity based on a diffeomorphism-invariant local action. In particular, we consider the superrenormalizable case with a large number of metric derivatives in the action. The structure of ultraviolet divergences is analyzed in some detail. We show that they are independent of the gauge-fixing condition and the choice of field reparametrization. The cosmological counterterm is shown to vanish under certain parameter conditions. We elaborate on the unitarity problem of high derivative approaches and the distribution of masses of unphysical ghosts. We also discuss the properties of the low energy regime and explore the possibility of having a multiscale gravity with different scaling regimes compatible with Einstein gravity at low energies. Finally, we show that the ultraviolet scaling of matter theories is not affected by the quantum corrections of high derivative gravity. As a consequence, asymptotic freedom is stable under those quantum gravity corrections.

scholarly journals Anamorphic quasiperiodic universes in modified and Einstein gravity with loop quantum gravity corrections

2017 ◽  
Vol 34 (18) ◽  
pp. 185002 ◽  
Author(s):  
Marcelo M Amaral ◽  
Raymond Aschheim ◽  
Laurenţiu Bubuianu ◽  
Klee Irwin ◽  
Sergiu I Vacaru ◽  
...  
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Einstein Gravity

scholarly journals Gravity Loop Corrections to the Standard Model Higgs in Einstein Gravity

2017 ◽  
Vol 26 (3) ◽  
pp. 229 ◽  
Author(s):  
Masaatsu Horikoshi ◽  
Yugo Abe ◽  
Takeo Inami
Keyword(s):  
Standard Model ◽  
Quantum Gravity ◽  
Energy Region ◽  
Loop Quantum Gravity ◽  
Einstein Gravity ◽  
Mass Scale ◽  
Higgs Potential ◽  
Planck Mass ◽  
The Standard Model ◽  
The Stability

We study one-loop quantum gravity corrections to the standard model Higgs potential \(V(\phi) \grave{\rm a}\) la Coleman-Weinberg and examine the stability question of \(V(\phi) \) in the energy region of Planck mass scale, \(\mu\simeq M_{\rm Pl}\) \((M_{\rm Pl}=1.22\times10^{19}{\rm GeV})\). We calculate the gravity one-loop corrections to \(V(\phi)\) in Einstein gravity by using the momentum cut-off \(\Lambda\). We have found that even small gravity corrections compete with the standard model term of \(V(\phi)\) and affect the stability argument of the latter part alone. This is because the latter part is nearly zero in the energy region of \(M_{\rm Pl}\).

scholarly journals Low energy consequences of loop quantum gravity

2020 ◽  
pp. 2150035
Author(s):  
Salman Sajad Wani ◽  
Behnam Pourhassan ◽  
Mir faizal ◽  
Ahmed Jellal
Keyword(s):  
Quantum Gravity ◽  
Short Distance ◽  
Loop Quantum Gravity ◽  
Low Energy ◽  
Fermi Gases ◽  
Planck Length ◽  
String Length ◽  
Heisenberg Algebras ◽  
Degenerate Fermi Gases ◽  
Theoretical Considerations

Using the loop quantum gravity, based on polymer quantization, we will argue that the polymer length (like string length) can be several orders larger than the Planck length, and this can have low energy consequences. We will demonstrate that a short distance modification of a quantum system by polymer quantization and by string theoretical considerations can produce similar behavior. Moreover, it will be demonstrated that a family of different deformed Heisenberg algebras can produce similar low energy effects. We will analyze such polymer correction to a degenerate Fermi gases in a harmonic trap, and its polymer corrected thermodynamics.

scholarly journals Hamiltonian cosmological perturbation theory with loop quantum gravity corrections

2006 ◽  
Vol 74 (12) ◽  
Author(s):  
Martin Bojowald ◽  
Mikhail Kagan ◽  
Parampreet Singh ◽  
Hector H. Hernández ◽  
Aureliano Skirzewski
Keyword(s):  
Perturbation Theory ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Cosmological Perturbation ◽  
Cosmological Perturbation Theory

scholarly journals Review on hermiticity of the volume operators in Loop Quantum Gravity

2019 ◽  
Vol 51 (5) ◽  
Author(s):  
S. Ariwahjoedi ◽  
I. Husin ◽  
I. Sebastian ◽  
F. P. Zen
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity

scholarly journals Spurious poles in the scattering of electric and magnetic charges

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
John Terning ◽  
Christopher B. Verhaaren
Keyword(s):  
Perturbation Theory ◽  
Scattering Amplitudes ◽  
Pair Production ◽  
Magnetic Particles ◽  
Single Photon ◽  
Low Energy ◽  
Magnetic Interactions ◽  
Parity Conservation ◽  
Non Local ◽  
The Way

Abstract Theories with both electric and magnetic charges (“mutually non-local” theories) have several major obstacles to calculating scattering amplitudes. Even when the interaction arises through the kinetic mixing of two, otherwise independent, U(1)’s, so that all low-energy interactions are perturbative, difficulties remain: using a self-dual, local formalism leads to spurious poles at any finite order in perturbation theory. Correct calculations must show how the spurious poles cancel in observable scattering amplitudes. Consistency requires that one type of charge is confined as a result of one of the U(1)’s being broken. Here we show how the constraints of confinement and parity conservation on observable processes manages to cancel the spurious poles in scattering and pair production amplitudes, paving the way for systematic studies of the experimental signatures of “dark” electric-magnetic processes. Along the way we demonstrate some novel effects in electric-magnetic interactions, including that the amplitude for single photon production of magnetic particles by electric particles vanishes.

scholarly journals The Swampland Conjectures: A Bridge from Quantum Gravity to Particle Physics

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 273
Author(s):  
Mariana Graña ◽  
Alvaro Herráez
Keyword(s):  
Effective Field Theories ◽  
Quantum Gravity ◽  
Particle Physics ◽  
Effective Field ◽  
Low Energy ◽  
Field Theories ◽  
Neutrino Masses ◽  
Higgs Potential ◽  
Photon Mass ◽  
Effective Theories

The swampland is the set of seemingly consistent low-energy effective field theories that cannot be consistently coupled to quantum gravity. In this review we cover some of the conjectural properties that effective theories should possess in order not to fall in the swampland, and we give an overview of their main applications to particle physics. The latter include predictions on neutrino masses, bounds on the cosmological constant, the electroweak and QCD scales, the photon mass, the Higgs potential and some insights about supersymmetry.

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