theories
In this work we show that the first quantum mechanical corrections of a given field theory (like the Standard Model of particle physics) can be obtained using only a classical framework. In order to do so, we take a detour from the well-known approach using Feynman diagrams via a recursive method derived from equations of motion. The underlying structure of particle scattering processes is captured by these equations and the quantum loops are computed through an established "sewing" procedure. Besides providing a computationally trivial tool to generate the required expressions, our method treats physical and virtual particles on equal footing. As such, it can be used as an input to compute higher order quantum corrections (higher loops) or in the renormalization group analysis (how the physics changes at different energy scales). Interestingly, it can be applied even to field theories in which only equations of motion are known, which otherwise evade more traditional approaches.
Contact person: Renann Lipinski Jusinskas