Infrared finite S-matrix in the QCD coherent state basis |
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| Affiliation: | 1. Physics Department, Brookhaven National Laboratory, Upton, NY 11973, USA;2. Dipartimento di Fisica, Universitá di Parma, INFN, Gruppo Collegato di Parma, Italy;1. Institute for Modern Physics, Chinese Academy of Sciences, Lanzhou-730000, China;2. School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 100049, China;3. CAS Key Laboratory of High Precision Nuclear Spectroscopy, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China;4. Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India;5. Department of Physics and Astronomy, Iowa State University, Ames, IA 50011, USA;1. Department of Physics and Astronomy, University of Sussex, Brighton, BN1 9QH, UK;2. Fakultät Physik, TU Dortmund, Otto-Hahn-Str. 4, D-44221 Dortmund, Germany;1. National University of Science and Technology “MISiS”, 119991 Moscow, Russia;2. Technical University of Darmstadt, 64289 Darmstadt, Germany;3. A.V.Topchiev Institute of Petrochemical Synthesis, RAS, 119991 Moscow, Russia;4. Chelyabinsk State University, 454001 Chelyabinsk, Russia;5. Tver State University, 170100 Tver, Russia |
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| Abstract: | The infrared (IR) structure of the S-matrix in the basis of the QCD coherent states is studied. To any order perturbation theory it is shown that these matrix elements areIR finite in spite of the fact that they involve any number of soft gluons; moreover, these soft gluons do not even contribute to the IR singular part of the inclusive Bloch-Nordsieck distribution. Finally, the BRS charge related to the coherent state S-matrix elements is given and shown to be IR finite to any order perturbation theory. |
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