QED in the worldline representation
arXiv:hep-th/0703186 · doi:10.1063/1.2751955
Abstract
Simultaneously with inventing the modern relativistic formalism of quantum electrodynamics, Feynman presented also a first-quantized representation of QED in terms of worldline path integrals. Although this alternative formulation has been studied over the years by many authors, only during the last fifteen years it has acquired some popularity as a computational tool. I will shortly review here three very different techniques which have been developed during the last few years for the evaluation of worldline path integrals, namely (i) the ``string-inspired formalism'', based on the use of worldline Green functions, (ii) the numerical ``worldline Monte Carlo formalism'', and (iii) the semiclassical ``worldline instanton'' approach.
18 pages, 7 figures, talk given at VI Latinamerican Symposium on High Energy Physics, Nov. 1-8, 2006, Puerto Vallarta, Mexico; references added and corrected (no other changes)
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