scholarly journals Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model extension at higher orders in Lorentz violation

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
João A. A. S. Reis ◽  
Marco Schreck
Keyword(s):  
Standard Model ◽  
Lorentz Violation ◽  
Standard Model Extension ◽  
Model Extension

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.

scholarly journals Effects of Lorentz violation through the γe → Wνe process in the Standard Model extension

2014 ◽  
Vol 41 (5) ◽  
pp. 055003 ◽  
Author(s):  
J I Aranda ◽  
F Ramírez-Zavaleta ◽  
D A Rosete ◽  
F J Tlachino ◽  
J J Toscano ◽  
...  
Keyword(s):  
Standard Model ◽  
Lorentz Violation ◽  
Standard Model Extension ◽  
Model Extension ◽  
The Standard Model

scholarly journals One-loop nonbirefringent effects on the electromagnetic vertex in the Standard Model Extension

2014 ◽  
Vol 29 (22) ◽  
pp. 1450107 ◽  
Author(s):  
A. Moyotl ◽  
H. Novales-Sanchez ◽  
J. J. Toscano ◽  
E. S. Tututi
Keyword(s):  
Standard Model ◽  
Lorentz Invariance ◽  
Lorentz Violation ◽  
Tree Level ◽  
Isotropic Case ◽  
Photon Propagator ◽  
Standard Model Extension ◽  
Model Extension ◽  
The One ◽  
Electromagnetic Vertex

Lorentz violation emerged from a fundamental description of nature may impact, at low energies, the Maxwell sector, so that contributions from such new physics to the electromagnetic vertex would be induced. Particularly, nonbirefringent CPT-even effects from the electromagnetic sector modified by the Lorentz- and CPT-violating Standard Model Extension alter the structure of the free photon propagator. We calculate Lorentz-violating contributions to the electromagnetic vertex, at the one-loop level, by using a modified photon propagator carrying this sort of effects. We take the photon off shell, and find an expression that involves both isotropic and anisotropic effects of nonbirefringent violation of Lorentz invariance. Our analysis of the one-loop vertex function includes gauge invariance, transformation properties under C, P and T, and tree-level contributions from Lorentz-violating nonrenormalizable interactions. These elements add to previous studies of the one-loop contributions to the electromagnetic vertex in the context of Lorentz violation in the photon sector. Finally, we restrict our analysis to the isotropic case and derive a finite contribution from isotropic Lorentz violation to the anomalous magnetic moment of fermions that coincides with the result already reported in the literature.

scholarly journals NEW CHANCE FOR RESEARCHES ON LORENTZ VIOLATION

2012 ◽  
Vol 10 ◽  
pp. 195-206 ◽  
Author(s):  
BO-QIANG MA
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Effective Field Theory ◽  
Lorentz Violation ◽  
Phenomenological Analysis ◽  
Effective Field ◽  
Standard Model Extension ◽  
Model Extension ◽  
The Standard Model

I present a brief review on the motivation for the study on Lorentz violation and on some of our studies with phenomenological analysis of Lorentz violation effects. I also discuss three effective field theory frameworks for Lorentz violation: the Coleman-Glashow model, the standard model extension (SME), and the standard model supplement (SMS). The situation of the OPERA "anomaly" is also briefly reviewed, together with some discussion on the superluminality of neutrinos within the effective field theory frameworks.

scholarly journals Constraints on Space-Time-Matter Theory in the Framework of the Standard-Model Extension

Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 26
Author(s):  
James Overduin ◽  
Hamna Ali ◽  
Francis Walz
Keyword(s):  
Standard Model ◽  
Rest Mass ◽  
Lorentz Violation ◽  
Space Time ◽  
Standard Model Extension ◽  
Matter Theory ◽  
Model Extension ◽  
The Standard Model ◽  
Klein Theory ◽  
Kaluza Klein

We use experimental limits on Lorentz violation within the framework of the Standard-Model Extension to derive quantitative constraints on Space-Time-Matter theory, a version of Kaluza–Klein theory in which the cylinder condition is relaxed so that four-dimensional physics can in principle depend on the extra coordinates. The extra dimensions are not necessarily compact or length-like. We find that the associated variation in fundamental quantities such as rest mass must occur slowly, on cosmological scales.

scholarly journals Lorentz violation and gravity

2009 ◽  
Vol 5 (S261) ◽  
pp. 409-413
Author(s):  
Quentin G. Bailey
Keyword(s):  
Standard Model ◽  
Lorentz Violation ◽  
Laser Ranging ◽  
Unified Theory ◽  
Standard Model Extension ◽  
Lunar Laser Ranging ◽  
Lunar Laser ◽  
Model Extension ◽  
The Standard Model

AbstractIn the last decade, a variety of high-precision experiments have searched for miniscule violations of Lorentz symmetry. These searches are largely motivated by the possibility of uncovering experimental signatures from a fundamental unified theory. Experimental results are reported in the framework called the Standard-Model Extension (SME), which describes general Lorentz violation for each particle species in terms of its coefficients for Lorentz violation. Recently, the role of gravitational experiments in probing the SME has been explored in the literature. In this talk, I will summarize theoretical and experimental aspects of these works. I will also discuss recent lunar laser ranging and atom interferometer experiments, which place stringent constraints on gravity coefficients for Lorentz violation.

scholarly journals Is There Any Symmetry Left in Gravity Theories with Explicit Lorentz Violation?

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 433 ◽  
Author(s):  
Yuri Bonder ◽  
Cristóbal Corral
Keyword(s):  
Standard Model ◽  
Lorentz Violation ◽  
The Other ◽  
Standard Model Extension ◽  
Robust Algorithm ◽  
First Order ◽  
Other Hand ◽  
Model Extension ◽  
The Standard Model ◽  
Theories Of Gravity

It is well known that a theory with explicit Lorentz violation is not invariant under diffeomorphisms. On the other hand, for geometrical theories of gravity, there are alternative transformations, which can be best defined within the first-order formalism and that can be regarded as a set of improved diffeomorphisms. These symmetries are known as local translations, and among other features, they are Lorentz covariant off shell. It is thus interesting to study if theories with explicit Lorentz violation are invariant under local translations. In this work, an example of such a theory, known as the minimal gravity sector of the Standard Model Extension, is analyzed. Using a robust algorithm, it is shown that local translations are not a symmetry of the theory. It remains to be seen if local translations are spontaneously broken under spontaneous Lorentz violation, which are regarded as a more natural alternative when spacetime is dynamic.

scholarly journals PROBING RELATIVITY USING SPACE-BASED EXPERIMENTS

2007 ◽  
Vol 16 (12b) ◽  
pp. 2469-2480 ◽  
Author(s):  
NEIL RUSSELL
Keyword(s):  
Standard Model ◽  
Special Relativity ◽  
Planck Scale ◽  
Lorentz Violation ◽  
High Sensitivity ◽  
Standard Model Extension ◽  
Full Spectrum ◽  
Small Deviations ◽  
Model Extension ◽  
The Standard Model

An overview of space tests searching for small deviations from special relativity arising at the Planck scale is given. Potential high-sensitivity space-based experiments include ones with atomic clocks, masers, and electromagnetic cavities. We show that a significant portion of the coefficient space in the Standard Model extension, a framework that covers the full spectrum of possible effects, can be accessed using space tests. Some remarks on Lorentz violation in the gravitational sector are also given.

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