ORCID
- Edwards, James: 0000-0001-6545-1193
Abstract
The non-perturbative Landau-Khalatnikov-Fradkin (LKF) transformations describe how Green functions in quantum field theory transform under a change in the photon field's linear covariant gauge parameter (denoted ξ). The transformations are framed most simply in coordinate space where they are multiplicative. They imply that information on gauge-dependent contributions from higher order diagrams in the perturbative series is contained in lower order contributions, which is useful in multi-loop calculations. We study the LKF transformations for the propagator and the vertex in both scalar and spinor QED, in some particular dimensions. A novelty of our work is to derive momentum-space integral representations of these transformations; our expressions are also applicable to the longitudinal and transverse parts of the vertex. Applying these transformations to the tree-level Green functions, we show that the one-loop terms obtained from the LKF transformation agree with the gauge dependent parts obtained from perturbation theory. Our results will be presented in more comprehensive form elsewhere.
DOI
10.1088/1742-6596/2667/1/012023
Publication Date
2023-12-19
Publication Title
J. Phys.: Conf. Ser.
Volume
2667
Organisational Unit
School of Engineering, Computing and Mathematics
Recommended Citation
Edwards, J. (2023) 'Landau-Khalatnikov-Fradkin Gauge Transformations for the Propagator and Vertex in QED and QED2', J. Phys.: Conf. Ser., 2667. Available at: https://doi.org/10.1088/1742-6596/2667/1/012023
