{"title":"Quantum theory of synchrotron radiation from charged massless fermions","authors":"P. A. Eminov","doi":"10.1103/physrevd.110.095006","DOIUrl":null,"url":null,"abstract":"This work is the first, to the best of our knowledge, to study synchrotron radiation (SR) from a massless charged electron based on the quantum theory of radiation using exact solutions of the Dirac equation in a constant magnetic field. The cases of (<mjx-container ctxtmenu_counter=\"5\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(3 0 1 2)\"><mjx-mrow data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-role=\"addition\" data-semantic-speech=\"2 plus 1\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>2</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"infixop,+\" data-semantic-parent=\"3\" data-semantic-role=\"addition\" data-semantic-type=\"operator\" space=\"3\"><mjx-c>+</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" space=\"3\"><mjx-c>1</mjx-c></mjx-mn></mjx-mrow></mjx-math></mjx-container>)-dimensional and (<mjx-container ctxtmenu_counter=\"6\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(3 0 1 2)\"><mjx-mrow data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-role=\"addition\" data-semantic-speech=\"3 plus 1\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>3</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"infixop,+\" data-semantic-parent=\"3\" data-semantic-role=\"addition\" data-semantic-type=\"operator\" space=\"3\"><mjx-c>+</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" space=\"3\"><mjx-c>1</mjx-c></mjx-mn></mjx-mrow></mjx-math></mjx-container>)-dimensional quantum electrodynamics are considered separately, and the calculation of synchrotron radiation of conduction electrons in single-layer graphene is presented. A comparative analysis of two types of quantum effects in massive and massless theories of synchrotron radiation is carried out. Analytical expressions obtained for the spectral distribution and total radiation power for all the processes are considered. It is shown that the SR of a massless charged electron is a purely quantum process in both <mjx-container ctxtmenu_counter=\"7\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,1,7\" data-semantic-content=\"8,9\" data-semantic- data-semantic-owns=\"0 8 1 9 7\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper Q upper E upper D Subscript 2 plus 1\" data-semantic-structure=\"(10 0 8 1 9 (7 2 (6 3 4 5)))\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"10\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑄</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"10\" data-semantic-role=\"multiplication\" 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data-semantic-content=\"4\" data-semantic- data-semantic-owns=\"3 4 5\" data-semantic-parent=\"7\" data-semantic-role=\"addition\" data-semantic-type=\"infixop\" size=\"s\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>2</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"infixop,+\" data-semantic-parent=\"6\" data-semantic-role=\"addition\" data-semantic-type=\"operator\"><mjx-c>+</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>1</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\"8\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" 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D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.110.095006","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
This work is the first, to the best of our knowledge, to study synchrotron radiation (SR) from a massless charged electron based on the quantum theory of radiation using exact solutions of the Dirac equation in a constant magnetic field. The cases of (2+1)-dimensional and (3+1)-dimensional quantum electrodynamics are considered separately, and the calculation of synchrotron radiation of conduction electrons in single-layer graphene is presented. A comparative analysis of two types of quantum effects in massive and massless theories of synchrotron radiation is carried out. Analytical expressions obtained for the spectral distribution and total radiation power for all the processes are considered. It is shown that the SR of a massless charged electron is a purely quantum process in both 𝑄𝐸𝐷2+1 and 𝑄𝐸𝐷3+1.
据我们所知,这项工作是首次基于量子辐射理论,利用恒定磁场中狄拉克方程的精确解,研究无质量带电电子的同步辐射(SR)。分别考虑了(2+1)维和(3+1)维量子电动力学的情况,并介绍了单层石墨烯中传导电子的同步辐射计算。对同步辐射的有质量和无质量理论中的两类量子效应进行了比较分析。考虑了所有过程的光谱分布和总辐射功率的分析表达式。研究表明,在𝑄𝐸𝐷2+1 和𝑄𝐸𝐷3+1 中,无质量带电电子的 SR 都是一个纯量子过程。
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.