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Running Coupling in pure gauge theories using the Schrödinger functional

1992/11/30 by Rajamani Narayanan, Narayanan, Rajamani
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/9211066

4 pages, RU-92-54

arxiv created 1992/11/30 · openalex publication_date 1992/11/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Schrödinger functional, the propagation kernel for going from some field configuration at time x0=0 to some other configuration at x0=T, is used to define a running coupling, g2(L), at a length scale, L, in pure gauge theories. Using a lattice formulation and finite size scaling techniques, this running coupling is calculated non-perturbatively in the continuum for a wide range of L, that extends from the perturbative scales to non-perturbative scales, for the specific case of pure SU(2) gauge theory.

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