scholarly journals Lorentz Invariance Violation and Modified Hawking Fermions Tunneling Radiation

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Shu-Zheng Yang ◽  
Kai Lin ◽  
Jin Li ◽  
Qing-Quan Jiang
Keyword(s):  
Dirac Equation ◽  
Semiclassical Approximation ◽  
Lorentz Invariance ◽  
High Energy ◽  
Dirac Field ◽  
Tunneling Radiation ◽  
Fermions Tunneling ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Modified Dirac Equation

Recently the modified Dirac equation with Lorentz invariance violation has been proposed, which would be helpful to resolve some issues in quantum gravity theory and high energy physics. In this paper, the modified Dirac equation has been generalized in curved spacetime, and then fermion tunneling of black holes is researched under this correctional Dirac field theory. We also use semiclassical approximation method to get correctional Hamilton-Jacobi equation, so that the correctional Hawking temperature and correctional black hole’s entropy are derived.

Lorentz invariance violation and modified Hawking fermions tunneling radiation of stationary axially symmetric black holes

2020 ◽  
pp. 2150008
Author(s):  
Z. Luo ◽  
W. F. Nie ◽  
Y. Y. Feng ◽  
X. G. Lan
Keyword(s):  
Black Hole ◽  
Lorentz Invariance ◽  
Energy Scale ◽  
Axially Symmetric ◽  
Tunneling Radiation ◽  
Fermions Tunneling ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Hamilton Jacobi Equation ◽  
Angle Parameter

Based on a higher energy scale, the dispersion relation might be corrected. Correspondingly, the Hamilton–Jacobi equation should also be modified. In this paper, we use the correction to study the fermion tunneling radiation for a Gibbons–Maeda–Garfinkle-Horowitz–Strominger (GMGHS) black hole, a Kerr–NUT black hole, and an Einstein–Maxwell–Dilaton–Axion (EMDA) black hole. The result shows that compared to the charged GMGHS black hole and the rotating Kerr–NUT black hole, the Hawking temperate and the entropy of the rotating charged EMDA black hole not only are related to the correction parameter [Formula: see text] and particle mass [Formula: see text] but also depend on the angle parameter [Formula: see text] of the black hole coordinates.

scholarly journals Modeling spectral lags in active galactic nucleus flares in the context of Lorentz invariance violation searches

2020 ◽  
Vol 633 ◽  
pp. A143 ◽  
Author(s):  
C. Perennes ◽  
H. Sol ◽  
J. Bolmont
Keyword(s):  
Lorentz Invariance ◽  
High Energy ◽  
Physical Parameters ◽  
New Era ◽  
Invariance Violation ◽  
Quantum Gravity Phenomenology ◽  
Lorentz Invariance Violation ◽  
Very High Energy ◽  
Energy Dependent ◽  
New Generation

Context. High-energy photons emitted by flaring active galactic nuclei (AGNs) have been used for many years to constrain modified dispersion relations in vacuum encountered in the context of quantum gravity phenomenology. In such studies, done in the GeV–TeV range, energy-dependent delays (spectral lags) are searched for, usually neglecting any source-intrinsic time delay. Aims. With the aim being to distinguish Lorentz invariance violation (LIV) effects from lags generated at the sources themselves, a detailed investigation into intrinsic spectral lags in flaring AGNs above 100 GeV is presented in the frame of synchrotron-self-Compton scenarios for their very-high-energy (VHE) emission. Methods. A simple model of VHE flares in blazars is proposed, allowing to explore the influence of the main physical parameters describing the emitting zones on intrinsic delays. Results. For typical conditions expected in TeV blazars, significant intrinsic lags are obtained, which can dominate over LIV effects, especially at low redshifts, and should therefore be carefully disentangled from any extrinsic lags. Moreover, two main regimes are identified with characteristic spectral lags, corresponding to long-lasting and fast particle acceleration. Conclusions. Such intrinsic spectral lags should be detected with new-generation instruments at VHE such as the Cherenkov Telescope Array which begins operation in a few years. This will provide original constraints on AGN flare models and open a new era for LIV searches in the photon sector.

Modification of the dynamic equation and tunneling radiation of fermions with arbitrary spin in Kerr-Newman-Kasuya black hole space-time

2020 ◽  
Vol 35 (20) ◽  
pp. 2050168
Author(s):  
Xia Tan ◽  
Yuzhen Liu ◽  
Zhie Liu ◽  
Bei Sha ◽  
Jie Zhang ◽  
...  
Keyword(s):  
Black Hole ◽  
Dynamic Equation ◽  
Lorentz Invariance ◽  
High Energy ◽  
Gravitational Theory ◽  
Arbitrary Spin ◽  
Space Time ◽  
Hawking Temperature ◽  
Tunneling Radiation ◽  
Invariance Violation

According to the Lorentz Invariance Violation originated from the quantum gravitational theory and the string theory, the Rarita-Schwinger equation of arbitrary spin fermions are exactly modified in the high energy case. Then we restudy the dynamic equation of fermions with arbitrary spin in charged Kerr-Newman-Kasuya (KNK) black hole space-time. Moreover, the tunneling radiation characteristics of fermions are studied according to the modified dynamic equation. Therefore, some new expressions for physical quantities such as tunneling rate, surface gravitation, Hawking temperature and entropy of the black hole are corrected. As a result, we calculate that the surface gravitation at the event horizon of the KNK black hole is a constant, and find that the Hawking temperature will increase, but the entropy will decrease with the increasing of correction parameter.

scholarly journals Lorentz Violation Footprints in the Spectrum of High-Energy Cosmic Neutrinos—Deformation of the Spectrum of Superluminal Neutrinos from Electron-Positron Pair Production in Vacuum

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1419 ◽  
Author(s):  
José Manuel Carmona ◽  
José Luis Cortés ◽  
José Javier Relancio ◽  
Maykoll Anthonny Reyes
Keyword(s):  
Pair Production ◽  
Numerical Simulations ◽  
Lorentz Invariance ◽  
Lorentz Violation ◽  
High Energy ◽  
Energy Scale ◽  
Invariance Violation ◽  
Electron Positron ◽  
Lorentz Invariance Violation ◽  
Electron Positron Pair

The observation of cosmic neutrinos up to 2 PeV is used to put bounds on the energy scale of Lorentz invariance violation through the loss of energy due to the production of e + e - pairs in the propagation of superluminal neutrinos. A model to study this effect, which allows us to understand qualitatively the results of numerical simulations, is presented.

scholarly journals HIGH ENERGY ASTROPHYSICS TESTS OF LORENTZ INVARIANCE VIOLATION

2005 ◽  
Vol 20 (14) ◽  
pp. 3139-3142 ◽  
Author(s):  
F. W. STECKER
Keyword(s):  
Lorentz Invariance ◽  
High Energy ◽  
Ultrahigh Energy ◽  
Large Extra Dimension ◽  
Bl Lac Objects ◽  
Invariance Violation ◽  
Electron Positron ◽  
Lorentz Invariance Violation ◽  
Emission Models ◽  
Flux Level

Observations of the multi-TeV spectra of the Mkn 501 and other nearby BL Lac objects exhibit the high energy cutoffs predicted to be the result of intergalactic annihilation interactions, primarily with IR photons having a flux level as determined by various astronomical observations. After correcting for such intergalactic absorption, these spectra can be explained within the framework of synchrotron self-Compton emission models. Stecker and Glashow have shown that the existence of this annihilation via electron-positron pair production puts strong constraints on Lorentz invariance violaition. Such constraints have important implications for some quantum gravity and large extra dimension models. A much smaller amount of Lorentz invariance violation has potential implications for understanding the spectra of ultrahigh energy cosmic rays.

scholarly journals HIGH ENERGY NEUTRINO OSCILLATION AT THE PRESENCE OF THE LORENTZ INVARIANCE VIOLATION

2012 ◽  
Vol 27 (19) ◽  
pp. 1250104 ◽  
Author(s):  
IMAN MOTIE ◽  
SHE-SHENG XUE
Keyword(s):  
Neutrino Oscillation ◽  
Lorentz Invariance ◽  
Planck Scale ◽  
High Energy ◽  
Oscillation Pattern ◽  
High Energies ◽  
Invariance Violation ◽  
Lorentz Invariance Violation ◽  
Very High Energy ◽  
Very High

Due to quantum gravity fluctuations at the Planck scale, the space–time manifold is no longer continuous, but discretized. As a result the Lorentz symmetry is broken at very high energies. In this paper, we study the neutrino oscillation pattern due to the Lorentz invariance violation (LIV), and compare it with the normal neutrino oscillation pattern due to neutrino masses. We find that at very high energies, neutrino oscillation pattern is very different from the normal one. This could provide an possibility to study the Lorentz invariance violation by measuring the oscillation pattern of very high energy neutrinos from a cosmological distance.

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