Pith. sign in

REVIEW 2 cited by

The Schr\"odinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv hep-lat/9207009 v1 pith:6XPID3RF submitted 1992-07-09 hep-lat

The Schr\"odinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories

Martin L\"uscher , Rajamani Narayanan (DESY) , Peter Weisz (MPI , Munich) , Ulli Wolff (CERN) This is my paper
classification hep-lat
keywords functionalgaugeodingerschrtheoriesaccessiblealonganalysis
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

Following Symanzik we argue that the Schr\"odinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are required. The Schr\"odinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling from low to high energies. A concrete proposition along this line is made and the necessary perturbative analysis of the Schr\"odinger functional is carried through to 1-loop order.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The large-$N$ Yang--Mills $\Lambda$-parameter from step scaling

    hep-lat 2026-07 conditional novelty 6.0

    First non-asymptotic-scaling determination of the large-N Yang-Mills Λ-parameter yields √(8t₀)Λ_MS(N=∞) = 0.639(36).

  2. Disentangling Scheme Dependence in Quasi-PDFs with a Transverse-Momentum Cutoff

    hep-ph 2026-07 accept novelty 5.0

    In the minimal TMC scheme, one-loop nonsinglet quasi-PDFs separate into explicit cutoff (and boundary UV) counterterms plus a remainder that carries the collinear IR pole and finite matching kernel.