Running Coupling in pure gauge theories using the Schrödinger functional

Details Running Coupling in pure gauge theories using the Schrödinger functional Running Coupling in pure gauge theories using the Schrödinger functional

1992-11-30

arxiv.org/abs/hep-lat/9211066v1

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, RU-92-54

Scientific paper

Schr\"odinger functional, the propagation kernel for going from some field configuration at time $x^0=0$ to some other configuration at $x^0=T$, is used to define a running coupling, $\bar g^2(L)$, 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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