Covariance of light-front models: pair current |
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| Institution: | 1. Division de Physique Théorique, Institut de Physique Nucléaire, F-9146 Orsay CEDEX, France;2. Laboratoire de Physique Théorique et Particules Elémentaires, Université Piérre & Marie Curie, 4 Place Jussieu, F-75252 Paris CEDEX 05, France;3. Departamento de Fı́sica, ITA, Centro Técnico Aeroespacial, 12.228-900, São José dos Campos, Brazil;4. Institute for Theoretical Physics, University Hannover D-30167 Hannover, Germany;5. TNO Physics and Electronics Laboratory, P.O. Box 96864, 2509 JG The Hague, The Netherlands;1. School of Mathematics, Honghe University, Yunnan, China;2. School of Mathematics, The University of Manchester, UK;1. Key Laboratory of Cryogenics, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing 100190, China;2. School of Future Technology, University of Chinese Academy of Sciences, Beijing 100049, China;3. Department of Engineering and Design, University of Sussex, Brighton BN1 9QT, UK;1. Key Laboratory of Disaster Forecast and Control in Engineering, Department of Mechanics & Civil Engineering, Jinan University, Guangzhou 510632, China;2. Earthquake Administration of Guangdong Province, Guangzhou 510070, China;3. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;4. Department of Mechanics & Civil Engineering, Jinan University, Guangzhou 510632, China;1. Physics Department, Faculty of Science, Bu-Ali Sina University, 65178, Hamedan, Iran;2. Sayyed Jamaleddin Asadabadi University, Asadabad, 6541861841, Iran |
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| Abstract: | We compute the + component, i.e., j+=j0+j3, of the electromagnetic current of a composite spin-one two-fermion system for vanishing momentum transfer component q+=q0+q3. In particular, we extract the nonvanishing pair production amplitude on the light-front. It is a consequence of the longitudinal zero momentum mode, contributing to the light-front current in the Breit-frame. The covariance of the current is violated, if such pair terms are not included in its matrix elements. We illustrate our discussion with some numerical examples. |
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