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.
Original language | English |
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Title of host publication | J. Phys.: Conf. Ser. |
Subtitle of host publication | XII International Symposium on Quantum Theory and Symmetries (QTS12) |
Publisher | IOP Publishing Ltd. |
Pages | 012023 |
Volume | 2667 |
DOIs | |
Publication status | Published - 19 Dec 2023 |