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We propose a modification of standard linear electrodynamics in four dimensions, where effective non-trivial interactions of the electromagnetic field with itself and with matter fields induce Lorentz violating Chern-Simons terms. This…

High Energy Physics - Theory · Physics 2009-01-07 Marcelo Botta Cantcheff

The CPT-odd and Lorentz-violating Carroll-Field-Jackiw modification of electrodynamics is discussed and we study its effects on the energy spectrum of hydrogen, as well as in the generation of a momentum-dependent electric dipole moment for…

High Energy Physics - Phenomenology · Physics 2016-07-27 Y. M. P. Gomes , P. C. Malta

We discuss the consequences of Lorentz violation (as expressed within the Lorentz-violating extension of the standard model) for the hydrogen molecule, which represents a generic model of a molecular binding. Lorentz-violating shifts of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Holger Mueller , Sven Herrmann , Alejandro Saenz , Achim Peters , Claus Laemmerzahl

This paper is devoted to the study of interactions between stationary electromagnetic sources for the minimal and nonminimal CPT-odd photon sector of the Standard Model Extension (SME), where we search mainly for physical phenomena not…

High Energy Physics - Theory · Physics 2022-03-01 L. H. C. Borges , A. F. Ferrari

A system of two fermions with different masses and interacting by the Coulomb potential is presented in a completely covariant framework. The spin-spin interaction, including the anomalous magnetic moments of the two fermions, is added by…

High Energy Physics - Phenomenology · Physics 2015-06-22 A. Barducci , R. Giachetti , E. Sorace

A non-conformally invariant coupling between the inflaton and the photon in the minimal Lorentz-violating standard model extension is analyzed. For specific forms of the Lorentz-violating background tensor, the strong-coupling and…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Leonardo Campanelli

The coupling of non-Hermitian PT-symmetric Hamiltonians to standard Hermitian Hamiltonians, each of which individually has a real energy spectrum, is explored by means of a number of soluble models. It is found that in all cases the energy…

High Energy Physics - Theory · Physics 2008-11-26 Carl M. Bender , Hugh F. Jones

The role of Lorentz symmetry in noncommutative field theory is considered. Any realistic noncommutative theory is found to be physically equivalent to a subset of a general Lorentz-violating standard-model extension involving ordinary…

High Energy Physics - Theory · Physics 2009-09-25 Sean M. Carroll , Jeffrey A. Harvey , V. Alan Kostelecky , Charles D. Lane , Takemi Okamoto

The usual multipolar Hamiltonian for atom-light interaction features a non-relativistic moving atom interacting with electromagnetic fields which inherently follow Lorentzian symmetry. This combination can lead to situations where atoms…

Atomic Physics · Physics 2018-10-05 Matthias Sonnleitner , Stephen M. Barnett

Vector theories with spontaneous Lorentz violation, known as bumblebee models, are examined in flat spacetime using a Hamiltonian constraint analysis. In some of these models, Nambu-Goldstone modes appear with properties similar to photons…

High Energy Physics - Theory · Physics 2014-11-18 Robert Bluhm , Nolan L. Gagne , Robertus Potting , Arturs Vrublevskis

We extend the perturbative approach developed in an earlier work to deal with Lagrangians which have arbitrary higher order time derivative terms for both bosons and fermions. This approach enables us to find an effective Lagrangian with…

High Energy Physics - Theory · Physics 2009-11-07 Tai-Chung Cheng , Pei-Ming Ho , Mao-Chuang Yeh

We study the fermion sign problem in a theory of non-relativistic fermions with a spin-independent repulsive interaction. We work in polar co-ordinates in momentum space, which makes it straightforward to keep only the low-energy degrees of…

High Energy Physics - Lattice · Physics 2010-04-14 Mark G. Alford , Andrei Kryjevski

Depending on deformed canonical anti-commutation relations, massless neutrino oscillation based on Lorentz invariance violation in non-commutative field theory is discussed. It is found that the previous studies about massless neutrino…

High Energy Physics - Phenomenology · Physics 2017-04-05 Cui-Bai Luo , Song Shi , Yi-Lun Du , Yong-Long Wang , Hong-Shi Zong

Starting with the Dirac equation for an electron in a constant electromagnetic background on a noncommutative (NC) plane, we obtain a gauge invariant description of the system. Surprisingly, the dynamics of the system is dictated by the…

High Energy Physics - Theory · Physics 2025-01-27 Aslam Halder , Sunandan Gangopadhyay , Anirban Saha

Dynamo action is shown to be induced from homogeneous non-minimal photon-torsion axial coupling in the quantum electrodynamics (QED) framework in Riemann flat spacetime contortion decays. The geometrical optics in Riemann-Cartan spacetime…

General Relativity and Quantum Cosmology · Physics 2010-07-13 Garcia de Andrade

We investigate the breakdown of Lorentz symmetry in QED by a CPT violating interaction term consisting of the coupling of an axial fermion current with a constant vector field $b$, in the framework of algebraic renormalization -- a…

High Energy Physics - Theory · Physics 2010-05-25 Oswaldo M. Del Cima , Jakson M. Fonseca , Daniel H. T. Franco , Olivier Piguet

We consider the role of the velocity in Lorentz-violating fermionic quantum theory, especially emphasizing the nonrelativistic regime. Information about the velocity will be important for the kinematical analysis of scattering and other…

High Energy Physics - Theory · Physics 2007-05-23 B. Altschul , Don Colladay

We reconsider an alternative theory of the QED with the photon as a massless vector Nambu-Goldstone boson and show that the underlying spontaneous Lorentz violation caused by the vector field vacuum expectation value, while being…

High Energy Physics - Theory · Physics 2008-11-26 J. L. Chkareuli , Z. Kepuladze , G. Tatishvili

We show that the Hamiltonian describing N nonrelativistic electrons with spin, interacting with the quantized radiation field and several fixed nuclei with total charge Z has a ground state when N <Z+1. The result holds for any value of the…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Michael Loss

A next-to-leading order correction to the high-energy factorization limit of radiation spectrum from an ultrarelativistic electron scattering in an external field is evaluated. Generally, it does not express through scattering…

High Energy Physics - Phenomenology · Physics 2017-10-25 M. V. Bondarenco