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Charged hadrons in local finite-volume QED+QCD with C⋆ boundary conditions

B. Lucini, A. Patella, A. Ramos, N. Tantalo, Biagio Lucini Orcid Logo

Journal of High Energy Physics, Volume: 2016, Issue: 2

Swansea University Author: Biagio Lucini Orcid Logo

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Abstract

In order to calculate QED corrections to hadronic physical quantities by means of lattice simulations, a coherent description of electrically-charged states in finite volume is needed. In the usual periodic setup, Gauss's law and large gauge transformations forbid the propagation of electricall...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2016
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa26219
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Abstract: In order to calculate QED corrections to hadronic physical quantities by means of lattice simulations, a coherent description of electrically-charged states in finite volume is needed. In the usual periodic setup, Gauss's 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 present a thorough analysis of the properties and symmetries of QED in isolation and QED coupled to QCD, with C* boundary conditions. In particular we learn that a certain class of electrically-charged states can be constructed in this setup in a fully consistent fashion, without relying on gauge fixing. We argue that this class of states covers most of the interesting phenomenological applications in the framework of numerical simulations. 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.
Keywords: Gauge Symmetry Nonperturbative Effects Discrete and Finite Symmetries Lattice Quantum Field Theory
College: Faculty of Science and Engineering
Issue: 2