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A derivation of the spin-spin potential on the lattice

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Zeitschrift für Physik C Particles and Fields

Abstract

We present a simple non-formal derivation on the lattice of the relation of the spin-dependent potential of a heavy\(q - \bar q\) pair and the expectation value of Wilson loops. The derivation is performed via a hopping parameter expansion. It is evident from this derivation that an additional, overall renormalization factor is needed in the spin-dependent potential, before it can be used in the Schrödinger equation.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012, Bern, Switzerland

    Anna Katzouraki

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  1. Anna Katzouraki
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Katzouraki, A. A derivation of the spin-spin potential on the lattice. Z. Phys. C - Particles and Fields 41, 653–657 (1989). https://doi.org/10.1007/BF01564710

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  • DOI: https://doi.org/10.1007/BF01564710

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