Lattice Perturbation Theory by Computer Algebra: A Three-Loop Result for the Topological Susceptibility
B. Alles, M. Campostrini, A. Feo, H. Panagopoulos
TL;DR
This paper introduces a computer algebra scheme for analytic lattice computations and applies it to obtain a new three-loop result for the topological susceptibility.
Contribution
It presents a novel symbolic computation method for lattice renormalization functions and provides the first three-loop calculation of the topological susceptibility.
Findings
Successful implementation of a computer algebra scheme for lattice calculations
First three-loop result for the topological susceptibility on the lattice
Demonstrates the method's potential for higher-order lattice computations
Abstract
We present a scheme for the analytic computation of renormalization functions on the lattice, using a symbolic manipulation computer language. Our first nontrivial application is a new three-loop result for the topological susceptibility.
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