1992/11/10 by F. Ferrari, F Ferrari · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.1088/0264-9381/10/6/005
published as Class.Quant.Grav.10:1065-1082,1993 · 22 pages, LMU-TPW 92-8, (plain TeX)
arxiv created 1992/11/10 · openalex publication_date 1993/06/01 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The free Maxwell field theory is quantized in the Lorentz gauge on a two dimensional manifold M with conformally flat background metric. It is shown that in this gauge the theory is equivalent, at least at the classical level, to a biharmonic version of the bosonic string theory. This equivalence is exploited in order to construct in details the propagator of the Maxwell field theory on M. The expectation values of the Wilson loops are computed. A trivial result is obtained confirming in the Lorentz gauge previous calculations. Finally the interacting case is briefly discussed taking the Schwinger model as an example. The two and three point functions of the Schwinger model are explicitly derived at the lowest order on a Riemann surface.