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The Heavy Quark Potential from Wilson's Exact Renormalization Group

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We perform a calculation of the full momentum dependence of the gluon and ghost propagators in pure SU(3) Yang-Mills theory by integrating Wilson's exact renormalization group equations with respect to an infrared cutoff k. The heavy quark potential in the quenched approximation can be expressed in terms of these propagators. Our results strongly indicate a 1/p^4 behaviour of the heavy quark potential for $p^2 \to 0$. We show in general, that effective actions which satisfy Schwinger-Dyson equations, correspond to (quasi-) fixed points of Wilson's exact renormalization group equations.

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Critical scaling for spectral functions

hep-th · 2025-06-10 · conditional · novelty 5.0

A spectral renormalisation group computation extracts the anomalous dimension eta ~ 0.1 for 2+1-dimensional phi^4 theory in the scaling regime, within a truncated approximation.

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  • Critical scaling for spectral functions hep-th · 2025-06-10 · conditional · none · ref 60 · internal anchor

    A spectral renormalisation group computation extracts the anomalous dimension eta ~ 0.1 for 2+1-dimensional phi^4 theory in the scaling regime, within a truncated approximation.