Large volume behavior of Yang-Mills propagators
Christian S. Fischer, Reinhard Alkofer, Axel Maas, Jan M. Pawlowski, and Lorenz von Smekal
TL;DR
This paper investigates how Yang-Mills propagators behave in finite volumes and how they approach their infinite-volume forms, comparing Dyson-Schwinger equation solutions with lattice simulation results.
Contribution
It provides a detailed analysis of finite-volume effects on Yang-Mills propagators using Dyson-Schwinger equations and relates these findings to lattice Monte-Carlo results.
Findings
Propagators tend towards their infinite-volume forms as volume increases.
Explicit demonstration of finite-volume effects on gluon and ghost propagators.
Comparison of Dyson-Schwinger solutions with lattice simulation data.
Abstract
We summarize results on finite-volume effects in the propagators of Landau gauge Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional torus. We demonstrate explicitly how the solutions for the gluon and the ghost propagator tend towards their respective infinite volume forms in the corresponding limit. We discuss the relation of our solutions with results from lattice Monte-Carlo simulations.
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Taxonomy
TopicsSuperconducting Materials and Applications · Magnetic confinement fusion research · Particle accelerators and beam dynamics