Synchrotron radiation in Myers–Pospelov effective electrodynamics

Montemayor, R.; Urrutia, L. F.

doi:10.1016/j.physletb.2004.11.080

Cited by 27 publications

(21 citation statements)

References 60 publications

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“…Such modifications include standard Lorentz invariance violations as well as possible extensions of Lorentz covariance [1]. In the case of electrodynamics these heuristic approaches can be interpreted in terms of an effective field theory describing the propagation of the electromagnetic field in an effective medium, provided that space-time coordinates and momenta commute [2,3,4,5,6,7,8]. Otherwise, as it happens for example in double special relativity models, the ordering ambiguity in the Fourier transform imposes a different approach outside the scope of the present work [9].…”

Section: Introductionmentioning

confidence: 99%

Reality and causality in quantum gravity modified electrodynamics

2006

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We present a general description of the propagation properties of quantum gravity modified electrodynamics characterized by constitutive relations up to second order in the correction parameter. The effective description corresponds to an electrodynamics in a dispersive and absorptive non-local medium, where the Green functions and the refraction indices can be explicitly calculated. The reality of the electromagnetic field together with the requirement of causal propagation in a given referrence frame leads to restrictions in the form of such refraction indices. In particular, absorption must be present in all cases and, contrary to the usual assumption, it is the dominant aspect in those effective models which exhibit linear effects in the correction parameter not related to birefringence. In such a situation absorption is linear while propagation is quadratical in the correction parameter.

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Section: Introductionmentioning

confidence: 99%

Reality and causality in quantum gravity modified electrodynamics

2006

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“…We have previously analyzed synchrotron emission in the presence of these kinds of Lorentz violations and presented bounds based on the data from the Crab nebula [33]. There have also been more detailed theoretical analyses of Lorentz-violating synchrotron processes with nonrenormalizable operators [34] or noncommutative geometry [35].We shall consider here a carefully chosen subset of the SME coefficients. The Lagrange density for our theory is…”

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confidence: 99%

Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources

Altschul

2006

Phys. Rev. Lett.

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We derive new bounds on Lorentz violations in the electron sector from existing data on high-energy astrophysical sources. Synchrotron and inverse Compton data give precisely complementary constraints. The best bound on a specific combination of electron Lorentzviolating coefficients is at the 6 × 10 −20 level, and independent bounds are available for all the Lorentz-violating c coefficients at the 2 × 10 −14 level or better. This represents an improvement in some bounds by fourteen orders of magnitude.1 baltschu@indiana.eduThe possibility that Lorentz invariance may not be exact in nature has been a subject of great interest since the discovery that Lorentz symmetry could be broken spontaneously in string theory [1]. Any observed deviations from Lorentz invariance would be powerful clues about the nature of Planck-scale physics. There has been a great deal of work probing the physics of Lorentz violation, both experimental and theoretical. Sensitive tests of Lorentz symmetry have included studies of matter-antimatter asymmetries for trapped charged particles [2,3,4,5] and bound state systems [6,7], determinations of muon properties [8,9], analyses of the behavior of spin-polarized matter [10,11], frequency standard comparisons [12,13,14,15], Michelson-Morley experiments with cryogenic resonators [16,17], Doppler effect measurements [18,19], measurements of neutral meson oscillations [20,21,22,23], polarization measurements on the light from distant galaxies [24,25,26], and others.On the theoretical side, a Lorentz-and CPT-violating effective field theory, the standard model extension (SME) has been developed in detail [27,28]. Basic issues regarding this theory, including stability and causality [29] and one-loop renormalizability [30] have been addressed. The SME contains coefficients that parameterize possible Lorentz violations. Many of these coefficients are tightly constrained by the various experiments, but many others are not.In this paper, we shall provide some further bounds on an important but relatively poorly constrained sector of the SME. By analyzing data from high-energy astrophysical sources, we can get strong new constraints, the best of which is at the 6 × 10 −20 level. We shall use data on both synchrotron and inverse Compton (IC) emissions; it turns out that these two types of radiation give complementary bounds.Synchrotron radiation has previously been used to bound nonrenormalizable Lorentzviolating parameters [31,32]. The Crab nebula shows evidence of synchrotron emission from electrons with Lorentz factors of γ = (1 − v 2 ) −1/2 ∼ 3 × 10 9 . The presence of electrons with velocities this large can be used to constrain models with deformed dispersion relations. For a nonrenormalizable Lorentz-violating coefficient with a particular sign, the data show that the coefficient must be at least seven orders of magnitude smaller than O(E/M P ) Planck-level suppression. We shall use a similar technique, but concentrating on the more important renormalizable Lorentz-violating operators. We...

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“…Some of the results have been already presented in Ref. [8]. In this work we restrict ourselves to the classical regime, in such a way that the fine-tuning problems associated with the radiative corrections of the model are not considered [9,11,12].…”

Section: Introductionmentioning

confidence: 99%

Radiation in Lorentz violating electrodynamics

Montemayor¹,

Urrutia²

2005

AIP Conference Proceedings

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Abstract. Synchrotron radiation is analyzed in the classical effective Lorentz invariance violating model of Myers-Pospelov. Within the full far-field approximation we compute the electric and magnetic fields, the angular distribution of the power spectrum and the total emitted power in the m-th harmonic, as well as the polarization. We find 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 further exploring Lorentz invariance violations by synchrotron radiation measurements in astrophysical sources where these amplifying factors are important.

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Synchrotron radiation in Myers–Pospelov effective electrodynamics

Cited by 27 publications

References 60 publications

Reality and causality in quantum gravity modified electrodynamics

Reality and causality in quantum gravity modified electrodynamics

Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources

Radiation in Lorentz violating electrodynamics

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