an:06883519
Zbl 1388.81973
Edwards, James P.
Contact interactions between particle worldlines
EN
J. High Energy Phys. 2016, No. 1, Paper No. 33, 45 p. (2016).
00403317
2016
j
81V35 78A35
field theories in lower dimensions; effective field theories; confinement
Summary: We construct contact interactions for bosonic and fermionic point particles. We first relate the resulting theories to classical electrostatics by taking functional averages over worldlines whose endpoints are fixed to charged particles. Counting those paths which pass through a space-time point \(x^\mu\) gives the static electric field at that point, provided we take the limit where the length measured along the worldlines is large. We also investigate corrections to the classical field that arise beyond leading order in this limit before constructing a theory of point particles that interact when their worldlines intersect. We quantise this theory and show that the partition function contains propagator couplings between the endpoints of the particles before discussing how this is related to the worldline formalism of quantum field theory and general action at a distance theories.