Three-Loop Results on the Lattice
B. Alles, M. Campostrini, A. Feo, H. Panagopoulos

TL;DR
This paper reports new three-loop calculations for the Free Energy and Topological Susceptibility in lattice gauge theories, advancing the analytic computation methods for renormalization functions on the lattice.
Contribution
It introduces a scheme utilizing symbolic manipulation for analytic three-loop calculations of renormalization functions in lattice gauge theories.
Findings
New three-loop results for Free Energy and Topological Susceptibility
Development of a symbolic manipulation scheme for lattice calculations
Enhanced accuracy in lattice renormalization functions
Abstract
We present some new three-loop results in lattice gauge theories, for the Free Energy and for the Topological Susceptibility. These results are an outcome of a scheme which we are developing (using a symbolic manipulation language), for the analytic computation of renormalization functions on the lattice.
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