Speaker
Dr
Agostino Patella
(CERN and Plymouth University)
Description
In order to calculate QED corrections to hadronic quantities by means of lattice simulations, a coherent description of electrically-charged states in finite volume is needed. In the usual periodic setup, Gauss' law and large gauge transformations forbid the propagation of electrically-charged states. A possible solution to this problem, which does not violate the axioms of local quantum field theory, has been proposed by Wiese and Polley, and is based on the use of C* boundary conditions.
We discuss the properties and symmetries of QED in isolation and QED coupled to QCD, with C* boundary conditions. We show that a certain class of electrically-charged states can be constructed in this setup in a fully consistent fashion, without relying on gauge fixing. This class of states covers most of the interesting phenomenological applications. We also calculate finite-volume corrections to the mass of stable charged particles and show that these are much smaller than in non-local formulations of QED.
This is the first of two consecutive talks on the subject.
Primary authors
Dr
Agostino Patella
(CERN and Plymouth University)
Dr
Alberto Ramos
(CERN)
Prof.
Biagio Lucini
(Swansea University)
Dr
Nazario Tantalo
(Rome University and INFN "Tor Vergata")
