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The Heavy Quark Potential from Wilson's Exact Renormalization Group

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arxiv hep-ph/9606468 v2 pith:5WHKYKGX submitted 1996-06-27 hep-ph hep-th

classification hep-phhep-th
keywords equationsexactgroupheavypotentialquarkrenormalizationwilson
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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    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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