# Lorentz-Violating Extension of the Standard Model

@article{Colladay1998LorentzViolatingEO, title={Lorentz-Violating Extension of the Standard Model}, author={Don Colladay and Alan Kosteleck{\'y}}, journal={Physical Review D}, year={1998}, volume={58}, pages={116002} }

In the context of conventional quantum field theory, we present a general Lorentz-violating extension of the minimal $\mathrm{SU}(3)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}\mathrm{U}(1)$ standard model including $\mathrm{CPT}$-even and $\mathrm{CPT}$-odd terms. It can be viewed as the low-energy limit of a physically relevant fundamental theory with Lorentz-covariant dynamics in which spontaneous Lorentz violation occurs. The extension has gauge…

## 175 Citations

### Dimensional reduction of a Lorentz- and CPT-violating Maxwell-Chern-Simons model

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- 2003

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### Lorentz violating scalar Casimir effect for a D -dimensional sphere

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We investigate the Casimir effect, due to the confinement of a scalar field in a $D$-dimensional sphere, with Lorentz symmetry breaking. The Lorentz-violating part of the theory is described by an…

### One-loop structure of the photon propagator in the standard model extension

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We study radiative corrections on the photon propagator from the electroweak sector of the minimal Lorentz- and $CPT$-violating Standard Model Extension. We derive the most general Lorentz-violating…

### Maxwell electrodynamics modified by a CPT -odd dimension-five higher-derivative term

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In this paper, we consider an electrodynamics of higher derivatives coupled to a Lorentz-violating background tensor. Specifically, we are interested in a dimension-five term of the CPT-odd sector of…

### Photon sector analysis of Super and Lorentz symmetry breaking: effective photon mass, bi-refringence and dissipation

- PhysicsThe European Physical Journal C
- 2018

Within the standard model extension (SME), we expand our previous findings on four classes of violations of Super-Symmetry (SuSy) and Lorentz Symmetry (LoSy), differing in the handedness of the…

### Thermal aspects of interacting quantum gases in Lorentz-violating scenarios

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- 2021

In this work, we study the interaction of quantum gases in Lorentz-violating scenarios considering both boson and fermion sectors. In the latter case, we investigate the consequences of a system…

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- 2018

In this paper, we derive the general leading-order classical Lagrangian covering all fermion operators of the nonminimal Standard-Model Extension (SME). Such a Lagrangian is considered to be the…

### Noncommutative gauge theory without Lorentz violation

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- 2002

The most popular noncommutative field theories are characterized by a matrix parameter ${\ensuremath{\theta}}^{\ensuremath{\mu}\ensuremath{\nu}}$ that violates Lorentz invariance. We consider the…

### Lorentz-violating supersymmetric quantum field theories

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- 2012

We study the possibility of constructing Lorentz-violating supersymmetric quantum field theories under the assumption that these theories have to be described by Lagrangians which are renormalizable…

### Testing Lorentz and CPT invariance with ultracold neutrons

- PhysicsPhysical Review D
- 2018

In this paper we investigate, within the standard model extension framework, the influence of Lorentz- and CPT-violating terms on gravitational quantum states of ultracold neutrons. Using a…

## References

SHOWING 1-10 OF 12 REFERENCES

### Theory and Experiment in Gravitational Physics

- Physics
- 1981

New technological advances have made it feasible to conduct measurements with precision levels which are suitable for experimental tests of the theory of general relativity. This book has been…

### Review of particle properties.

- PhysicsPhysical review. D, Particles and fields
- 1994

This biennial Review summarizes much of Particle Physics using data from previous editions, plus 2205 new measurements from 667 papers, and features expanded coverage of CP violation in B mesons and of neutrino oscillations.

### Electrodynamics of continuous media

- Physics
- 1960

Electrostatics of conductors Static magnetic field Superconductivity The propagation of electromagnetic waves Spatial dispersion Diffraction of X rays in crystals.

### Comments Nucl

- Part. Phys
- 1989

### Note that the definitions of these terms differ slightly from those in Ref

### Kostelecký and R. Potting, Nucl. Phys. B359, 545 ͑1991͒

- Phys. Lett. B

### Nielsen and I. Picek, Nucl. Phys. B211

### This bound, obtained from observation of the Jovian magnetosphere during the Pioneer-10 mission, might eventually be improved through measurements on the solar magnetosphere

- The existing limit on the photon mass based on direct measurements is mγ < 6 × 10 −25
- 1975