Semiclassical Approach of Lorentz Symmetry Breaking Effects at a Low Energy Scenario

2020 ◽  
Vol 59 (9) ◽  
pp. 2901-2911
Author(s):  
K. Bakke ◽  
H. Belich
Keyword(s):  
Symmetry Breaking ◽  
Lorentz Symmetry ◽  
Low Energy ◽  
Semiclassical Approach ◽  
Energy Scenario ◽  
Lorentz Symmetry Breaking

Attractive inverse-square interaction from Lorentz symmetry breaking effects at a low energy scenario

2021 ◽  
Vol 36 (08n09) ◽  
pp. 2150067
Author(s):  
K. Bakke ◽  
H. Belich
Keyword(s):  
Symmetry Breaking ◽  
Bound States ◽  
Neutral Particle ◽  
Lorentz Symmetry ◽  
Low Energy ◽  
Nonrelativistic Quantum ◽  
Symmetry Violation ◽  
Energy Scenario ◽  
Lorentz Symmetry Breaking ◽  
Tensor Formula

We analyze nonrelativistic quantum effects on a neutral particle due to the presence of an attractive inverse-square potential that stems from the effects of the Lorentz symmetry violation determined by the parity-even sector of the tensor [Formula: see text]. We show that bound states solutions to the Schrödinger equation can be achieved. We go further by considering a repulsive inverse-square potential yielded by Lorentz symmetry breaking effects, which are also determined the parity-even sector of the tensor [Formula: see text]. Then, we analyze the influence of this repulsive inverse-square potential on a neutral particle confined to two cylindrical surfaces and a cylindrical surface.

scholarly journals Spontaneous breaking of (2 + 1)-dimensional Lorentz symmetry by an antisymmetric tensor

2018 ◽  
Vol 33 (02) ◽  
pp. 1850007
Author(s):  
Jia-Hui Huang ◽  
Guang-Zhou Guo ◽  
Hao-Yu Xie ◽  
Qi-Shan Liu ◽  
Fang-Qing Deng
Keyword(s):  
Symmetry Breaking ◽  
Effective Action ◽  
Covariant Derivative ◽  
Lorentz Symmetry ◽  
Low Energy ◽  
Spontaneous Breaking ◽  
Goldstone Bosons ◽  
Coset Construction ◽  
Covariant Gauge ◽  
Lorentz Symmetry Breaking

One kind of spontaneous (2 + 1)-dimensional Lorentz symmetry breaking is discussed. The symmetry breaking pattern is SO(2, 1) [Formula: see text] SO(1, 1). Using the coset construction formalism, we derive the Goldstone covariant derivative and the associated covariant gauge field. Finally, the two-derivative low-energy effective action of the Nambu–Goldstone bosons is obtained.

On the effects of the Lorentz symmetry violation in a magnetic medium at a low energy scenario

2018 ◽  
Vol 33 (36) ◽  
pp. 1850216
Author(s):  
K. Bakke ◽  
C. Salvador ◽  
H. Belich
Keyword(s):  
Magnetic Field ◽  
Scalar Field ◽  
Electric Field ◽  
Anharmonic Oscillator ◽  
Lorentz Symmetry ◽  
Low Energy ◽  
Symmetry Violation ◽  
Magnetic Medium ◽  
Energy Scenario ◽  
The Magnetic Field

It is analyzed the influence of a fixed background that breaks the Lorentz symmetry on the scalar field in the nonrelativistic regime. It is considered a medium with a nonuniform magnetization and the presence of an induced electric field. Then, due to the effects of the Lorentz symmetry violation, it is shown that the interaction of the scalar field with the magnetic field (produced by the nonuniform magnetization) and the induced electric field yields an effective potential analogous to the double anharmonic oscillator. Thereby, a discrete spectrum of energy can stem from the effects of the violation of the Lorentz symmetry on the scalar field.

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