Non perturbative renormalization in coordinate space
V. Gimenez, L. Giusti, S. Guerriero, V. Lubicz, G. Martinelli, S., Petrarca, J. Reyes, B. Taglienti, E. Trevigne
TL;DR
This paper explores a gauge-invariant non-perturbative renormalization method in coordinate space, applying it to lattice correlation functions of composite operators, and discusses results for bilinears and the quark condensate.
Contribution
It introduces a novel gauge-invariant non-perturbative renormalization approach based on coordinate space correlation functions on the lattice.
Findings
Numerical results for bilinear operators with overlap and Wilson fermions are presented.
The method provides a new way to measure the quark condensate non-perturbatively.
Abstract
We present an exploratory study of a gauge-invariant non-perturbative renormalization technique. The renormalization conditions are imposed on correlation functions of composite operators in coordinate space on the lattice. Numerical results for bilinears obtained with overlap and O(a)-improved Wilson fermions are presented. The measurement of the quark condensate is also discussed.
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