Remark on the computation of mode sums

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages ReVTeX, 3 PostScript figures. Introductory material and references added. To appear in Phys Rev D

Scientific paper

10.1103/PhysRevD.62.066006

The computation of mode sums of the types encountered in basic quantum field theoretic applications is addressed with an emphasis on their expansions into functions of distance that can be interpreted as potentials. We show how to regularize and calculate the Casimir energy for the continuum Nambu-Goto string with massive ends as well as for the discrete Isgur-Paton non-relativistic string with massive ends. As an additional example, we examine the effect on the interquark potential of a constant Kalb-Ramond field strength interacting with a QCD string.

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