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The Boltzmann equation in classical Yang–Mills theory |
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| Authors: | V Mathieu A H Mueller D N Triantafyllopoulos |
| Institution: | 1. Department of Physics, Indiana University, Bloomington, IN, 47405, USA 2. Center for Exploration of Energy and Matter, Indiana University, Bloomington, IN, 47403, USA 3. Department of Physics, Columbia University, New York, NY, 10027, USA 4. European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Strada delle Tabarelle 286, 38123?, Villazzano (TN), Italy |
| Abstract: | We give a detailed derivation of the Boltzmann equation, and in particular its collision integral, in classical field theory. We first carry this out in a scalar theory with both cubic and quartic interactions and subsequently in a Yang–Mills theory. Our method does not rely on a doubling of the fields, rather it is based on a diagrammatic approach representing the classical solution to the problem. |
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