Electron Scattering Off Quarks and Gluons at Finite Temperature
Aug, 198857 pages
Published in:
- Z.Phys.C 45 (1989) 57
DOI:
Report number:
- UCT-TP-104/1988
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Abstract: (Springer)
Deep inelastic scattering of leptons off a heat bath of quarks and gluons is studied to first order in the strong coupling constant αs. This process is of interest for a discussion of models of the nucleon, the nucleus, the EMC-effect or any other situation where the effect of leptons on a system of thermalized quarks and gluons is needed. All calculations have been performed using the real time formulation of quantum field theory at finite temperature and chemical potential. To the order considered no approximations have been made. The following processes contribute and have all been taken into account exactly: gluon emission and absorption from quark and correspondingly from an antiquark, quark-antiquark pair annihilation and creation. The singularity structure is completely determined. Ultraviolet divergences are taken into account by a renormalization prescription similar to the one used normally at zero temperature. To cancel the collinear divergences it is necessary to consider all processes simultaneously and to invoke a relation between fermion and boson distributions following from the principle of detailed balance for thermal equilibrium. The ill-defined product of δ functions appearing when the propagator is on shell in quark-antiquark creation and anihilation contribution is shown to cancel with the corresponding term in self energy contribution.- lepton hadron: deep inelastic scattering
- finite temperature
- hadron: structure function
- gluon: emission
- gluon: absorption
- quark: pair production
- quark antiquark: annihilation
- renormalization
- infrared problem
- quantum chromodynamics: perturbation theory
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