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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2021-06-01
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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 |
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