Limits on a Lorentz- and parity-violating modification of electrodynamics

In the framework of the classical effective Lorentz invariance violating (LIV) model of MyersPospelov, we present a complete calculation of the synchrotron radiation produced by a circularly moving charge in the rest frame of the model. Within the full far-field approximation we compute exact expressions for the electric and magnetic fields, the angular distribution of the power spectrum and the total emitted power in the m-th harmonic. We also perform an expansion of the latter quantity in terms of the electromagnetic LIV parameter and calculate the average degree of circular polarization to first order in such a parameter. In both cases we find, under adequate circumstances, the appearance of rather unexpected and large amplifying factors, which go together with the otherwise negligible naive expansion parameter. This opens up the possibility of selecting astrophysical sources where these amplifying factors are important, to explore further constraints imposed upon the LIV parameters by synchrotron radiation measurements.

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“…A partial list of previous studies of electrodynamics incorporating LIV via dimension three and four operators is given in Ref. [19].…”

Section: Introductionmentioning

confidence: 99%

Synchrotron radiation in Myers–Pospelov effective electrodynamics

Montemayor

Urrutia

2005

Physics Letters B

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“…This is the Lagrangian of Maxwell-Chern-Simons, or axion, electrodynamics in (3 + 1) dimensions that has been discussed previously in [9,10,11]. If θ is a constant, then the last term in (1) represents a full divergenceF µν F µν = ∂ µ J µ CS of the Chern-Simons current…”

Section: Topological Effects In Qcd × Qed: Maxwell-chern-simons Theorymentioning

confidence: 97%

Chern-Simons current and local parity violation in hot QCD matter

Kharzeev

2009

Nuclear Physics A

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Non-Abelian gauge theories "live" in a space-time with non-trivial topology that can be characterized by an odd-dimensional Chern-Simons form. In QCD, Chern-Simons form is induced by the chiral anomaly and the presence of topological solutions; it opens a possibility for the breaking of P and CP invariances in strong interactions ("the strong CP problem"). While there is apparently no global P and CP violation in QCD, here I argue that topological fluctuations in hot quark-gluon matter can become directly observable in the presence of a very intense external magnetic field by inducing local P-and CP-odd effects. These phenomena can be described by using the Maxwell-Chern-Simons electrodynamics as an effective theory. Local P and CP violation in hot QCD matter can be observed in experiment through the "chiral magnetic effect" -the separation of electric charge along the axis of magnetic field that is created by the colliding relativistic ions. There is a recent evidence for the electric charge separation relative to the reaction plane of heavy ion collisions from the STAR Collaboration at RHIC.

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“…The WWN model is the particular case of the Carroll -Field -Jackiw (CFJ) model [28], based on the Chern -Simons ansatz [29]. These models are often discussed in context of the Equivalence Principle and Lorentz violation (see, e.g., [30] - [34] for review and references).…”

Section: On the Mathematical Aspects Of The Problem Of The Axionphotomentioning

confidence: 99%

Axion Electrodynamics and Dark Matter Fingerprints in the Terrestrial Magnetic and Electric Fields

Balakin¹,

Grunskaya²

2013

Reports on Mathematical Physics

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We consider mathematical aspects of the axion electrodynamics in application to the problem of evolution of geomagnetic and terrestrial electric fields, which are coupled by relic axions born in the early Universe and (hypothetically) forming now the cold dark matter. We find axionic analogs of the Debye potentials, well-known in the standard Faraday -Maxwell electrodynamics, and discuss exact solutions to the equations of the axion electrodynamics describing the state of axionically coupled electric and magnetic fields in a spherical resonator Earth-Ionosphere. We focus on the properties of the specific electric and magnetic oscillations, which appeared as a result of the axion-photon coupling in the dark matter environment. We indicate such electric and magnetic field configurations as longitudinal electro-magnetic clusters.

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Limits on a Lorentz- and parity-violating modification of electrodynamics

Cited by 1,377 publications

References 23 publications

Synchrotron radiation in Myers–Pospelov effective electrodynamics

Synchrotron radiation in Myers–Pospelov effective electrodynamics

Chern-Simons current and local parity violation in hot QCD matter

Axion Electrodynamics and Dark Matter Fingerprints in the Terrestrial Magnetic and Electric Fields

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