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Properties of the Confining Force

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An Introduction to the Confinement Problem

Part of the book series: Lecture Notes in Physics ((LNP,volume 821))

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Any fully satisfactory theory of confinement ought to explain the following features of the confining force, for which there is strong theoretical and/or numerical support:

  1. 1.

    asymptotic linearity of the static potential;

  2. 2.

    Casimir scaling of string tensions at intermediate distance scales;

  3. 3.

    N-ality dependence of asymptotic string tensions;

  4. 4.

    evidence of quantum string-like behavior: roughening and the Lüscher term.

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  1. 1.

    It should be noted that the calculation on which this figure is based uses a method which creates metastable flux tubes, which are then allowed to propagate for a relatively short Euclidean time interval. This procedure is insensitive to the string-breaking process, and hence one can only calculate the string tension of the metastable states.

  2. 2.

    To add to the “Casimir” confusion, the Lüscher term is known to string theorists as the “Casimir energy.”


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Correspondence to Jeff Greensite .

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Greensite, J. (2010). Properties of the Confining Force. In: An Introduction to the Confinement Problem. Lecture Notes in Physics, vol 821. Springer, Berlin, Heidelberg.

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