Simulations of QCD and QED with C∗ boundary conditions

Abstract

We present exploratory results from dynamical simulations of QCD in isolation, as well as QCD coupled to QED, with C∗ boundary conditions. In finite volume, the use of C∗ boundary conditions allows for a gauge invariant and local formulation of QED without zero modes. In particular we show that the simulations reproduce known results and that masses of charged mesons can be extracted in a completely gauge invariant way. For the simulations we use a modified version of the HiRep code. The primary features of the simulation code are presented and we discuss some details regarding the implementation of C∗ boundary conditions and the simulated lattice action. Preprint: CP3-Origins-2017-046 DNRF90, CERN-TH-2017-214