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Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED
- Source :
- Phys. Rev. D 102, 105012 (2020)
- Publication Year :
- 2020
-
Abstract
- We calculate the three- and four-loop corrections to the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics with four-component fermions. The three-loop correction is finite and gauge invariant but the four-loop one has singularities except in the Feynman gauge where it is also finite. Our results explicitly show that, up to four loops, gauge-dependent terms are completely determined by lower order ones in agreement with the Landau-Khalatnikov-Fradkin transformation.<br />Comment: 11+4 pages
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 102, 105012 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.2008.09400
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.102.105012