Tunneling of a Massless Field through a 3D Gaussian Barrier

Details Tunneling of a Massless Field through a 3D Gaussian Barrier Tunneling of a Massless Field through a 3D Gaussian Barrier

1998-08-03

arxiv.org/abs/hep-th/9808009v2

J.Math.Phys. 40 (1999) 3300-3310

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, 3 PostScript figures; improved presentation, to appear in J. Math. Phys

Scientific paper

We propose a method for the approximate computation of the Green function of a scalar massless field Phi subjected to potential barriers of given size and shape in spacetime. This technique is applied to the case of a 3D gaussian ellipsoid-like barrier, placed on the axis between two pointlike sources of the field. Instead of the Green function we compute its temporal integral, that gives the static potential energy of the interaction of the two sources. Such interaction takes place in part by tunneling of the quanta of Phi across the barrier. We evaluate numerically the correction to the potential in dependence on the size of the barrier and on the barrier-sources distance.

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