Constraints on Lorentz Invariance Violation with Multiwavelength Polarized Astrophysical Sources

Possible violations of Lorentz invariance (LIV) can produce vacuum birefringence, which results in a frequency-dependent rotation of the polarization plane of linearly polarized light from distant sources. In this paper, we try to search for a frequency-dependent change of the linear polarization an...

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Main Authors: Qi-Qi Zhou, Shuang-Xi Yi, Jun-Jie Wei, Xue-Feng Wu
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Galaxies
Subjects:
Online Access:https://www.mdpi.com/2075-4434/9/2/44
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author Qi-Qi Zhou
Shuang-Xi Yi
Jun-Jie Wei
Xue-Feng Wu
author_facet Qi-Qi Zhou
Shuang-Xi Yi
Jun-Jie Wei
Xue-Feng Wu
author_sort Qi-Qi Zhou
collection DOAJ
description Possible violations of Lorentz invariance (LIV) can produce vacuum birefringence, which results in a frequency-dependent rotation of the polarization plane of linearly polarized light from distant sources. In this paper, we try to search for a frequency-dependent change of the linear polarization angle arising from vacuum birefringence in the spectropolarimetric data of astrophysical sources. We collect five blazars with multiwavelength polarization measurements in different optical bands <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>U</mi><mi>B</mi><mi>V</mi><mi>R</mi><mi>I</mi><mo>)</mo></mrow></semantics></math></inline-formula>. Taking into account the observed polarization angle contributions from both the intrinsic polarization angle and the rotation angle induced by LIV, and assuming that the intrinsic polarization angle is an unknown constant, we obtain new constraints on LIV by directly fitting the multiwavelength polarimetric data of the five blazars. Here, we show that the birefringence parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> quantifying the broken degree of Lorentz invariance is limited to be in the range of <b><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>−</mo><mn>9.63</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>8</mn></mrow></msup><mo><</mo><mi>η</mi><mo><</mo><mn>6.55</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>6</mn></mrow></msup></mrow></semantics></math></inline-formula></b> at the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2</mn><mi>σ</mi></mrow></semantics></math></inline-formula> confidence level, which is as good as or represents one order of magnitude improvement over the results previously obtained from ultraviolet/optical polarization observations. Much stronger limits can be obtained by future multiwavelength observations in the gamma-ray energy band.
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spelling doaj.art-8db096bf75404295b407a5aca6c978312023-11-22T00:55:03ZengMDPI AGGalaxies2075-44342021-06-01924410.3390/galaxies9020044Constraints on Lorentz Invariance Violation with Multiwavelength Polarized Astrophysical SourcesQi-Qi Zhou0Shuang-Xi Yi1Jun-Jie Wei2Xue-Feng Wu3School of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, ChinaSchool of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, ChinaPurple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210023, ChinaPurple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210023, ChinaPossible violations of Lorentz invariance (LIV) can produce vacuum birefringence, which results in a frequency-dependent rotation of the polarization plane of linearly polarized light from distant sources. In this paper, we try to search for a frequency-dependent change of the linear polarization angle arising from vacuum birefringence in the spectropolarimetric data of astrophysical sources. We collect five blazars with multiwavelength polarization measurements in different optical bands <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>U</mi><mi>B</mi><mi>V</mi><mi>R</mi><mi>I</mi><mo>)</mo></mrow></semantics></math></inline-formula>. Taking into account the observed polarization angle contributions from both the intrinsic polarization angle and the rotation angle induced by LIV, and assuming that the intrinsic polarization angle is an unknown constant, we obtain new constraints on LIV by directly fitting the multiwavelength polarimetric data of the five blazars. Here, we show that the birefringence parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> quantifying the broken degree of Lorentz invariance is limited to be in the range of <b><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>−</mo><mn>9.63</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>8</mn></mrow></msup><mo><</mo><mi>η</mi><mo><</mo><mn>6.55</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>6</mn></mrow></msup></mrow></semantics></math></inline-formula></b> at the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2</mn><mi>σ</mi></mrow></semantics></math></inline-formula> confidence level, which is as good as or represents one order of magnitude improvement over the results previously obtained from ultraviolet/optical polarization observations. Much stronger limits can be obtained by future multiwavelength observations in the gamma-ray energy band.https://www.mdpi.com/2075-4434/9/2/44astroparticle physicsgravitationpolarizationmultiwavelength
spellingShingle Qi-Qi Zhou
Shuang-Xi Yi
Jun-Jie Wei
Xue-Feng Wu
Constraints on Lorentz Invariance Violation with Multiwavelength Polarized Astrophysical Sources
Galaxies
astroparticle physics
gravitation
polarization
multiwavelength
title Constraints on Lorentz Invariance Violation with Multiwavelength Polarized Astrophysical Sources
title_full Constraints on Lorentz Invariance Violation with Multiwavelength Polarized Astrophysical Sources
title_fullStr Constraints on Lorentz Invariance Violation with Multiwavelength Polarized Astrophysical Sources
title_full_unstemmed Constraints on Lorentz Invariance Violation with Multiwavelength Polarized Astrophysical Sources
title_short Constraints on Lorentz Invariance Violation with Multiwavelength Polarized Astrophysical Sources
title_sort constraints on lorentz invariance violation with multiwavelength polarized astrophysical sources
topic astroparticle physics
gravitation
polarization
multiwavelength
url https://www.mdpi.com/2075-4434/9/2/44
work_keys_str_mv AT qiqizhou constraintsonlorentzinvarianceviolationwithmultiwavelengthpolarizedastrophysicalsources
AT shuangxiyi constraintsonlorentzinvarianceviolationwithmultiwavelengthpolarizedastrophysicalsources
AT junjiewei constraintsonlorentzinvarianceviolationwithmultiwavelengthpolarizedastrophysicalsources
AT xuefengwu constraintsonlorentzinvarianceviolationwithmultiwavelengthpolarizedastrophysicalsources