scholarly journals Effects of a Landau-Type Quantization Induced by the Lorentz Symmetry Violation on a Dirac Field

2020 ◽  
Vol 2020 ◽  
pp. 1-7 ◽  
Author(s):  
R. L. L. Vitória ◽  
H. Belich
Keyword(s):  
Vector Field ◽  
Energy Levels ◽  
Lorentz Symmetry ◽  
Nonrelativistic Limit ◽  
Dirac Field ◽  
Hard Wall ◽  
Symmetry Violation ◽  
Wall Potential ◽  
The Standard Model ◽  
Massive Dirac Field

Inspired by the extension of the Standard Model, we analyzed the effects of the spacetime anisotropies on a massive Dirac field through a nonminimal CPT-odd coupling in the Dirac equation, where we proposed a possible scenario that characterizes the breaking of the Lorentz symmetry which is governed by a background vector field and induces a Landau-type quantization. Then, in order to generalize our system, we introduce a hard-wall potential and, for a particular case, we determine the energy levels in this background. In addition, at the nonrelativistic limit of the system, we investigate the effects of the Lorentz symmetry violation on thermodynamic aspects of the system.

scholarly journals Lorentz-violating effects on pair production of W bosons in photon collisions

2014 ◽  
Vol 29 (31) ◽  
pp. 1450180 ◽  
Author(s):  
J. I. Aranda ◽  
F. Ramírez-Zavaleta ◽  
F. J. Tlachino ◽  
J. J. Toscano ◽  
E. S. Tututi
Keyword(s):  
Standard Model ◽  
Polarization State ◽  
New Physics ◽  
Lorentz Symmetry ◽  
Energy Scale ◽  
Lagrangian Model ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Model Extension ◽  
The Standard Model

We examine Lorentz-violating effects that could appear through deviations of the Standard Model gauge couplings WWγ, WWγγ, Zγγ and γγγ. These new physics effects are explored on the γγ→WW reaction at possible future Linear Colliders. In particular, the associated helicity amplitudes are computed in the context of the Standard Model Extension (which is a model that includes Lorentz violation) and the Effective Lagrangian Model (which incorporates new physics effects that respect Lorentz symmetry). We perform an exhaustive study of the polarized differential cross-sections to stand out effects related to Lorentz symmetry violation, where it is evidenced that the effects of Lorentz symmetry violation are more sensitive to the presence of the e background field. We found that for the (±, ±, (L, T+T, L)) polarization state, only Standard Model Extension contributes at the lowest order. For this polarization state, with an integrated luminosity assumed to be 103 fb -1, we estimated up to 1 event for a Lorentz-violating energy scale of 44 TeV.

scholarly journals Relativistic Spin-0 Particle Under Linear Central Potential Effects Induced by Lorentz Symmetry Violation

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Effect ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Quantum Numbers ◽  
Model Extension ◽  
The Standard Model ◽  
Lorentz Symmetry Breaking ◽  
The Magnetic Field

In this work, we investigate the behaviour of a relativistic scalar particle in the background of the Lorentz symmetry violation determined by a tensor (KF)µναβ out of the Standard Model Extension. A linear electric field and a uniform magnetic can be induced by the violation of the Lorentz symmetry breaking effects, and analyze the behaviour of the scalar particle. We see that the analytical solution to the KG-equation can be achieved, and a quantum effect characterized by the dependence of the magnetic field on the quantum numbers is observed

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.

CONFINEMENT OF A DIRAC PARTICLE TO A HARD-WALL CONFINING POTENTIAL INDUCED BY NONINERTIAL EFFECTS

2012 ◽  
Vol 27 (03) ◽  
pp. 1350018 ◽  
Author(s):  
K. BAKKE
Keyword(s):  
Quantum Dot ◽  
Bound States ◽  
Energy Levels ◽  
Minkowski Spacetime ◽  
Nonrelativistic Limit ◽  
Dirac Particle ◽  
Hard Wall ◽  
Spin Particle ◽  
Confining Potential ◽  
Noninertial Effects

In this contribution, we discuss the influence of noninertial effects on a Dirac particle in the Minkowski spacetime by showing that the geometry of the manifold can play the role of a hard-wall confining potential. Thus, we discuss a limit case where the relativistic bound states can be achieved in analogous way to having a Dirac particle confined to a quantum dot. We discuss the application of this mathematical model in studies of noninertial effects on condensed matter systems described by the Dirac equation, and compare the nonrelativistic limit of the energy levels with the spectrum of energy of a spin-½ particle confined to a quantum dot [E. Tsitsishvili et al., Phys. Rev. B70 (2004) 115316].

scholarly journals New modes for massive Dirac field in higher-dimensional black holes

2015 ◽  
Vol 30 (28) ◽  
pp. 1550145 ◽  
Author(s):  
Ciprian A. Sporea
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Standard Model ◽  
Extra Dimensions ◽  
Dirac Field ◽  
Schwarzschild Black Hole ◽  
Higher Dimensional ◽  
The Standard Model ◽  
Dimensions Of Space ◽  
Massive Dirac Field

In this paper, we derive new modes for massive Dirac field in the background of a higher-dimensional Schwarzschild black hole. We use in our approach the Cartesian gauge defined in local frames. We work in the context of Arkani-Hamed, Dimopoulos and Dvali (ADD)-like theories, assuming that the Standard Model fields (fermions and bosons) live only on a (3+1)-dimensional brane and the extra dimensions of space can be large in size.

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 Simple prescription for computing the nonrelativistic interparticle potential energy related to dual models

2016 ◽  
Vol 31 (12) ◽  
pp. 1650070 ◽  
Author(s):  
G. B. de Gracia ◽  
G. P. de Brito
Keyword(s):  
Vector Field ◽  
Potential Energy ◽  
Nonrelativistic Limit ◽  
External Current ◽  
Interparticle Potential ◽  
Higher Derivative ◽  
Higher Derivatives ◽  
Rank 2 ◽  
Electromagnetic Models ◽  
Dual Models

Following a procedure recently utilized by Accioly et al. to obtain the D-dimensional interparticle potential energy for electromagnetic models in the nonrelativistic limit, and relaxing the condition assumed by the authors concerning the conservation of the external current, the prescription found out by them is generalized so that dual models can also be contemplated. Specific models in which the interaction is mediated by a spin-0 particle described first by a vector field and then by a higher-derivative vector field, are analyzed. Systems mediated by spin-1 particles described, respectively, by symmetric rank-2 tensors, symmetric rank-2 tensors augmented by higher derivatives and antisymmetric rank-2 tensors, are considered as well.

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