Anber, Mohamed M. and Sulejmanpasic, Tin (2015) The renormalon diagram in gauge theories on R-3 x S-1. JOURNAL OF HIGH ENERGY PHYSICS (1): 139. ISSN 1029-8479,
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We analyze the renormalon diagram of gauge theories on . In particular, we perform exact one loop calculations for the vacuum polarization in QCD with adjoint matter and observe that all infrared logarithms, as functions of the external momentum, cancel between the vacuum part and finite volume part, which eliminates the IR renormalon problem. We argue that the singularities in the Borel plane, arising from the topological neutral bions, are not associated with the renormalon diagram, but with the proliferation of the Feynman diagrams. As a byproduct, we obtain, for the first time, an exact one-loop result of the vacuum polarization which can be adapted to the case of thermal compactification of QCD.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FINITE-TEMPERATURE; QUANTUM-MECHANICS; QCD; Solitons Monopoles and Instantons; Nonperturbative Effects; Renormalization Regularization and Renormalons |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Jul 2019 11:11 |
| Last Modified: | 25 Jul 2019 11:11 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6079 |
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