scholarly journals A Massive Scalar Field under the Effects of the Lorentz Symmetry Violation by a CPT-Odd Nonminimal Coupling

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
R. L. L. Vitória ◽  
H. Belich
Keyword(s):  
Scalar Field ◽  
Bound States ◽  
Lorentz Symmetry ◽  
Massive Scalar ◽  
Nonminimal Coupling ◽  
Symmetry Violation ◽  
Massive Scalar Field ◽  
Gauge Sector ◽  
The Standard Model ◽  
Klein Gordon

In this paper, based on the Standard Model Extended gauge sector, we made a nonminimal coupling in the Klein–Gordon equation which characterizes the Lorentz symmetry violation and, through this nonminimal CPT-odd coupling, we investigate the effects of possible scenarios of Lorentz symmetry violation by electrical and magnetic field configurations on a massive scalar field in this background, where, analytically, we determine solutions of bound states.

scholarly journals A Central Potential with a Massive Scalar Field in a Lorentz Symmetry Violation Environment

2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
R. L. L. Vitória ◽  
H. Belich
Keyword(s):  
Scalar Field ◽  
Gordon Equation ◽  
Mass Term ◽  
Lorentz Symmetry ◽  
Massive Scalar ◽  
Symmetry Violation ◽  
Massive Scalar Field ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Klein Gordon Equation

We investigate the behaviour of a massive scalar field under the influence of a Coulomb-type and central linear central potentials inserted in the Klein-Gordon equation by modifying the mass term in the spacetime with Lorentz symmetry violation. We consider the presence of a background constant vector field which characterizes the breaking of the Lorentz symmetry and show that analytical solutions to the Klein-Gordon equation can be achieved.

scholarly journals Instability of charged massive scalar fields in bound states around Kerr–Sen black holes

2015 ◽  
Vol 24 (14) ◽  
pp. 1550102 ◽  
Author(s):  
Haryanto M. Siahaan
Keyword(s):  
Black Holes ◽  
Bound States ◽  
Gordon Equation ◽  
Scalar Fields ◽  
Bound State ◽  
Imaginary Component ◽  
Scalar Perturbation ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Klein Gordon

In this paper, we show the instability of a charged massive scalar field in bound states around Kerr–Sen black holes. By matching the near and far region solutions of the radial part in the corresponding Klein–Gordon equation, one can show that the frequency of bound state scalar fields contains an imaginary component which gives rise to an amplification factor for the fields. Hence, the unstable modes for a charged and massive scalar perturbation in Kerr–Sen background can be shown.

Central potential effects induced by Lorentz symmetry violation on modified quantum oscillator field

2022 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Bound States ◽  
Quantum Effect ◽  
Scalar Potential ◽  
Lorentz Symmetry ◽  
Quantum Oscillator ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Quantum Numbers ◽  
Model Extension ◽  
Klein Gordon

In this paper, effects of Lorentz symmetry violation determined by a tensor field [Formula: see text] out of the Standard Model Extension on a modified quantum oscillator field in the presence of Cornell-type scalar potential are analyzed. We first introduced a scalar potential [Formula: see text] by modifying the mass square term via transformation [Formula: see text] in the Klein–Gordon equation, and then replace the momentum operator [Formula: see text], where [Formula: see text] is an arbitrary function other than [Formula: see text] to study the modified Klein–Gordon oscillator. We solve the wave equation and obtain the analytical bound-states solutions and see the dependence of oscillator frequency [Formula: see text] on the quantum numbers [Formula: see text] as well as on Lorentz-violating parameters with the potential which shows a quantum effect.

scholarly journals Quasinormal modes of massive scalar field with nonminimal coupling in higher-dimensional de Sitter black hole with single rotation

2019 ◽  
Vol 79 (12) ◽  
Author(s):  
Bogeun Gwak
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Quasinormal Modes ◽  
Massive Scalar ◽  
Nonminimal Coupling ◽  
De Sitter ◽  
Massive Scalar Field ◽  
Outer Horizon ◽  
Dimensional Spacetime ◽  
Higher Dimensional

AbstractWe analytically investigate the quasinormal modes of the massive scalar field with a nonminimal coupling in the higher-dimensional de Sitter black hole with a single rotation. According to the separated scalar field equation, the boundary conditions of quasinormal modes are well constructed at the outer and cosmological horizons. Then, under near-extremal conditions, where the outer horizon closes to the cosmological horizon, the quasinormal frequencies are obtained and generalized to universal form in the higher-dimensional spacetime. Here, the real part of the frequency includes the scalar field contents, and its imaginary part only depends on the surface gravity at the outer horizon of the black hole.

Stationary configurations around charged rotating black holes

2016 ◽  
Vol 25 (09) ◽  
pp. 1641012
Author(s):  
Carolina L. Benone
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Bound States ◽  
Scalar Fields ◽  
Analytic Solutions ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Rotating Black Holes ◽  
Specific Frequency

Scalar fields can form real bound states around black holes for a specific frequency. In this work, we review the case of a charged and massive scalar field around a charged rotating black hole, in order to find these bound states. We analyze the behavior of these solutions for different parameters and also comment on analytic solutions for certain regimes.

scholarly journals Quasinormal modes of a massive scalar field nonminimally coupled to gravity in the spacetime of self-dual black hole

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
J. S. Santos ◽  
M. B. Cruz ◽  
F. A. Brito
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Loop Quantum Gravity ◽  
Strong Dependence ◽  
Quasinormal Modes ◽  
The Self ◽  
Massive Scalar ◽  
Nonminimal Coupling ◽  
Massive Scalar Field ◽  
Quantum Black Hole

AbstractIn this work, we investigate the quasinormal modes for a massive scalar field with a nonminimal coupling with gravity in the spacetime of a loop quantum black hole, known as the self-dual black hole. In this way, we have calculated the characteristic frequencies using the 3rd order WKB approach, where we can verify a strong dependence with the mass of scalar field, the parameter of nonminimal coupling with gravity, and parameters of the loop quantum gravity. From our results, we can check that the self-dual black hole is stable under the scalar perturbations when assuming small values for the parameters. Also, such results tell us that the quasinormal modes assume different values for the cases where the mass of field is null and the nonminimal coupling assumes $$\xi =0$$ ξ = 0 and $$\xi =1/6$$ ξ = 1 / 6 , i.e., a possible breaking of the conformal invariance can be seen in the context of loop quantum black holes.

scholarly journals He–McKellar–Wilkens-type effect, quantum holonomies and Aharonov–Bohm-type effect for bound states from the Lorentz symmetry breaking effects

2016 ◽  
Vol 28 (10) ◽  
pp. 1650023 ◽  
Author(s):  
A. G. de Lima ◽  
H. Belich ◽  
K. Bakke
Keyword(s):  
Symmetry Breaking ◽  
Bound States ◽  
Energy Levels ◽  
Lorentz Symmetry ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Gauge Sector ◽  
Model Extension ◽  
Lorentz Symmetry Breaking ◽  
Aharonov Bohm

From the effects of the Lorentz symmetry violation in the CPT-even gauge sector of the Standard Model Extension determined by a tensor background [Formula: see text], we establish a possible scenario where an analogue of the He–McKellar–Wilkens effect can stem from. Besides, we build quantum holonomies associated with the analogue of the He–McKellar–Wilkens effect and discuss a possible analogy with the geometric quantum computation. Finally, we investigate the dependence of the energy levels on the He–McKellar–Wilkens geometric phase induced by Lorentz symmetry breaking effects when the particle is confined to a hard-wall confining potential.

scholarly journals Log to log-log crossover of entanglement in a (1+1) -dimensional massive scalar field

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Parul Jain ◽  
S. Mahesh Chandran ◽  
S. Shankaranarayanan
Keyword(s):  
Scalar Field ◽  
Massive Scalar ◽  
Massive Scalar Field
Sign in / Sign up

Export Citation Format

Share Document