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arXiv · hep-lat/9211066

Running Coupling in pure gauge theories using the Schrödinger functional

Rajamani Narayanan
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Abstract

Schrödinger 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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Rajamani Narayanan. 1992-11-30. Running Coupling in pure gauge theories using the Schrödinger functional. https://arxiv.org/abs/hep-lat/9211066

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