Anandan quantum phase and quantum holonomies induced by the effects of the Lorentz symmetry violation background in the CPT-even gauge sector of the Standard Model Extension

2013 ◽  
Vol 128 (12) ◽  
Author(s):  
A. G. de Lima ◽  
H. Belich ◽  
K. Bakke
Keyword(s):  
Standard Model ◽  
Lorentz Symmetry ◽  
Quantum Phase ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Gauge Sector ◽  
Model Extension ◽  
The Standard Model

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 geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension

2015 ◽  
Vol 30 (33) ◽  
pp. 1550197 ◽  
Author(s):  
K. Bakke ◽  
H. Belich
Keyword(s):  
Standard Model ◽  
Relativistic Quantum ◽  
Lorentz Symmetry ◽  
Relativistic Quantum Mechanics ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Quantum Phases ◽  
Gauge Sector ◽  
Model Extension ◽  
Tensor Formula

We discuss the appearance of geometric quantum phases for a Dirac neutral particle in the context of relativistic quantum mechanics based on possible scenarios of the Lorentz symmetry violation tensor background in the CPT-even gauge sector of Standard Model Extension. We assume that the Lorentz symmetry breaking is determined by a tensor background given by [Formula: see text], then, relativistic analogues of the Anandan quantum phase [J. Anandan, Phys. Lett. A 138, 347 (1989)] are obtained based on the parity-even and parity-odd sectors of the tensor [Formula: see text].

The gauge sector of the SME with Lorentz-symmetry violation by symplectic projector method

2015 ◽  
Vol 30 (35) ◽  
pp. 1550191
Author(s):  
H. Belich ◽  
M. A. Santos ◽  
M. T. D. Orlando
Keyword(s):  
Standard Model ◽  
Point Of View ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Gauge Sector ◽  
Canonical Formulation ◽  
Effective Metric ◽  
Model Extension ◽  
The Standard Model ◽  
Conditions Of Stability

We propose to analyze a modified electromagnetism inspired from the gauge sector of the Standard Model extension (SME). From the point of view of a canonical formulation, we carried out the usual analysis on the constraints structure of the odd sector (Carroll–Field–Jackiw term) and a Maxwell term with an effective metric. This effective metric is obtained by a vectorial decomposition of the CPT-even term, that is absorbed in the ordinary Maxwell term. Using symplectic projector method (SPM), we obtain the dispersions relations and we have verified conditions of stability to determine the valid spectrum.

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 Consistency of an alternative CPT-odd and Lorentz-violating extension of QED

2019 ◽  
Vol 34 (25) ◽  
pp. 1950139
Author(s):  
J. C. C. Felipe ◽  
H. G. Fargnoli ◽  
A. P. Baeta Scarpelli ◽  
L. C. T. Brito
Keyword(s):  
Standard Model ◽  
Field Strength ◽  
Mass Term ◽  
Standard Model Extension ◽  
Classical Action ◽  
Gauge Sector ◽  
Model Extension ◽  
The Standard Model ◽  
Strength Tensor

We investigate an alternative CPT-odd Lorentz-breaking QED which includes the Carroll–Field–Jackiw (CFJ) term of the Standard Model Extension (SME), writing the gauge sector in the action in a Palatini-like form, in which the vectorial field and the field-strength tensor are treated as independent entities. Interestingly, this naturally induces a Lorentz-violating mass term in the classical action. We study physical consistency aspects of the model both at classical and quantum levels.

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 D-oscillons in the standard model extension

2015 ◽  
Vol 91 (12) ◽  
Author(s):  
R. A. C. Correa ◽  
Roldão da Rocha ◽  
A. de Souza Dutra
Keyword(s):  
Standard Model ◽  
Standard Model Extension ◽  
Model Extension ◽  
The Standard Model

scholarly journals Lorentz Violation of the Photon Sector in Field Theory Models

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Lingli Zhou ◽  
Bo-Qiang Ma
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Degrees Of Freedom ◽  
Lorentz Violation ◽  
Detailed Structure ◽  
Standard Model Extension ◽  
Model Extension ◽  
The Standard Model ◽  
Minimal Standard

We compare the Lorentz violation terms of the pure photon sector between two field theory models, namely, the minimal standard model extension (SME) and the standard model supplement (SMS). From the requirement of the identity of the intersection for the two models, we find that the free photon sector of the SMS can be a subset of the photon sector of the minimal SME. We not only obtain some relations between the SME parameters but also get some constraints on the SMS parameters from the SME parameters. The CPT-odd coefficients(kAF)αof the SME are predicted to be zero. There are 15 degrees of freedom in the Lorentz violation matrixΔαβof free photons of the SMS related with the same number of degrees of freedom in the tensor coefficients(kF)αβμν, which are independent from each other in the minimal SME but are interrelated in the intersection of the SMS and the minimal SME. With the related degrees of freedom, we obtain the conservative constraints(2σ)on the elements of the photon Lorentz violation matrix. The detailed structure of the photon Lorentz violation matrix suggests some applications to the Lorentz violation experiments for photons.

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