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2003•Unpublished venueRequires access

1 Improved Renormalization Group Analysis for Yang-Mills Theory

Shoichi Kawamoto, Toshihiro Matsuo

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Abstract

We apply an improved renormalization group analysis for pure Yang-Mills theory in four dimensions in the Landau gauge and O(N) nonlinear sigma model in two dimensions. We find a pole in the gluon two-point function at one-loop order, which is generated nonperturbatively. In Yang-Mills theory this may correspond to the expectation value of a gauge invariant operator and emerges as MP/Λ MS ≃ 0.81, where Λ MS is the MS scale. The improved perturbation theory formulated by Gell-Mann and Low 1) is a theoretical framework with which, using the ideas of the renormalization group with the results of perturbation theory to a given order, one can determine something about the next order of perturbation theory. Employing the same type of philosophy, variational

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What this paper is about

We apply an improved renormalization group analysis for pure Yang-Mills theory in four dimensions in the Landau gauge and O(N) nonlinear sigma model in two dimensions. We find a pole in the gluon two-point function at one-loop order, which is generated nonperturbatively. In Yang-Mills theory this may correspond to the expectation value of a gauge invariant operator and emerges as MP/Λ MS ≃ 0.81, where Λ MS is the MS scale. The improved perturbation theory formulated by Gell-Mann and Low 1) is a theoretical framework with which, using the ideas of the renormalization group with the results of perturbation theory to a given order, one can determine something about the next order of perturbation theory. Employing the same type of philosophy, variational

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Available abstract

We apply an improved renormalization group analysis for pure Yang-Mills theory in four dimensions in the Landau gauge and O(N) nonlinear sigma model in two dimensions. We find a pole in the gluon two-point function at one-loop order, which is generated nonperturbatively. In Yang-Mills theory this may correspond to the expectation value of a gauge invariant operator and emerges as MP/Λ MS ≃ 0.81, where Λ MS is the MS scale. The improved perturbation theory formulated by Gell-Mann and Low 1) is a theoretical framework with which, using the ideas of the renormalization group with the results of perturbation theory to a given order, one can determine something about the next order of perturbation theory. Employing the same type of philosophy, variational

Key concepts: Physics, Mathematical physics, Yang–Mills theory, Sigma model, Renormalization group, Gauge group, Renormalization, Beta function (physics)

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