Abstract
The observation of pulsed photons up to \(\sim \)1 TeV provides a unique set of data to investigate fundamental physics. An application for which well timed emission at the highest energies is greatly valuable is testing for Lorentz invariance.
Einstein has put an end to this isolation; it is now well established that gravitation affects not only matter, but also light.
Prof. H. A. Lorentz, 1920
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
http://dan.iel.fm/emcee/current, last accessed 03/02/2018.
- 2.
Following Eq. 6.3 this means a worsening of 25 and 13% for the linear and quadratic limit, respectively.
References
Mattingly D (2005) Modern tests of Lorentz invariance. Living Rev Relativ 8(1):5. https://doi.org/10.12942/lrr-2005-5
Ahnen ML et al (2017b) Constraining Lorentz invariance violation using the crab pulsar emission observed up to TeV energies by MAGIC. Astrophys J Suppl Ser 232(1):9. https://doi.org/10.3847/1538-4365/aa8404
Garay LJ (1995) Quantum gravity and minimum length. Int J Mod Phys A 10(02):145–165. https://doi.org/10.1142/S0217751X95000085
Plato ADK et al (2016) Gravitational effects in quantum mechanics. Contemp Phys 57(4):477–495. https://doi.org/10.1080/00107514.2016.1153290
Colladay D, Kostelecký VA (1998) Lorentz-violating extension of the standard model. Phys Rev D 58(11):116002. https://doi.org/10.1103/PhysRevD.58.116002
Amelino-Camelia G et al (1998) Tests of quantum gravity from observations of gamma-ray bursts. Nature 393(6687):763–765. https://doi.org/10.1038/31647
Abramowski A et al (2011) Search for Lorentz Invariance breaking with a likelihood fit of the PKS 2155–304 flare data taken on MJD 53944. Astropart Phys 34(9):738–747. https://doi.org/10.1016/j.astropartphys.2011.01.007
Albert J et al (2008a) Probing quantum gravity using photons from a flare of the active galactic nucleus Markarian 501 observed by the MAGIC telescope. Phys Lett B 668(4):253–257. https://doi.org/10.1016/j.physletb.2008.08.053
Vasileiou V et al (2013) Constraints on Lorentz invariance violation from fermi -large area telescope observations of gamma-ray bursts. Phys Rev D 87(12):122001. https://doi.org/10.1103/PhysRevD.87.122001
Mazin D et al (2013) Potential of EBL and cosmology studies with the Cherenkov telescope array. Astropart Phys 43:241–251. https://doi.org/10.1016/j.astropartphys.2012.09.002
Martínez M, Errando M (2009) A new approach to study energy-dependent arrival delays on photons from astrophysical sources. Astropart Phys 31(3):226–232. https://doi.org/10.1016/j.astropartphys.2009.01.005
Otte AN (2011) Prospects of performing Lorentz invariance tests with VHE emission from pulsars. In: 32nd international cosmic ray conference. Beijing, China. https://doi.org/10.7529/ICRC2011/V07/1302
Kaaret P (1999) Pulsar radiation and quantum gravity. Astron Astrophys 345:32–34
Thompson DJ (2008) Gamma ray astrophysics: the EGRET results. Rep Prog Phys 71(11):116901. https://doi.org/10.1088/0034-4885/71/11/116901
Kislat F, Krawczynski H (2017) Planck-scale constraints on anisotropic Lorentz and CPT invariance violations from optical polarization measurements. Phys Rev D 95(8):083013. https://doi.org/10.1103/PhysRevD.95.083013
Trimble V (1973) The distance to the crab nebula and NP 0532. Publ Astron Soc Pac 85(October):579. https://doi.org/10.1086/129507
Kaplan DL et al (2008) A precise proper motion for the crab pulsar, and the difficulty of testing spin-kick alignment for young neutron stars. Astrophys J 677(2):1201–1215. https://doi.org/10.1086/529026
Aliu E et al (2011) Detection of pulsed gamma rays above 100 GeV from the crab pulsar. Science 334(6052):69–72. https://doi.org/10.1126/science.1208192
Aleksić J et al (2012b) Phase-resolved energy spectra of the Crab pulsar in the range of 50–400 GeV measured with the MAGIC telescopes. Astron Astrophys 540:A69. https://doi.org/10.1051/0004-6361/201118166
MacKay DJ (2005) Information theory, inference, and learning algorithms. J Am Stat Assoc 100(472):1461–1462. https://doi.org/10.1198/jasa.2005.s54
Aleksić J et al (2014a) Detection of bridge emission above 50 GeV from the crab pulsar with the MAGIC telescopes. Astron Astrophys 565:L12. https://doi.org/10.1051/0004-6361/201423664
Foreman-Mackey D et al (2013) emcee : the MCMC Hammer. Publ Astron Soc Pac 125(925):306–312. https://doi.org/10.1086/670067
Foreman-Mackey D (2016) corner.py: Scatterplot matrices in Python. J Open Sour Softw 1(2). https://doi.org/10.21105/joss.00024
Andrae R et al (2010) Dos and don’ts of reduced chi-squared. ArXiv, ID 1012:3
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Carreto Fidalgo, D. (2019). Lorentz Invariance Violation: Limits from the Crab Pulsar. In: Revealing the Most Energetic Light from Pulsars and Their Nebulae. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-24194-0_6
Download citation
DOI: https://doi.org/10.1007/978-3-030-24194-0_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-24193-3
Online ISBN: 978-3-030-24194-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)