Casimir energy inside a triangle

Details Casimir energy inside a triangle Casimir energy inside a triangle

2003-06-26

arxiv.org/abs/hep-th/0306259v1

J.Math.Phys. 45 (2004) 965

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 13 pages

Scientific paper

For certain class of triangles (with angles proportional to $\fr{\pi}{N}$, $N\geq 3$) we formulate image method by making use of the group $G_N$ generated by reflections with respect to the three lines which form the triangle under consideration. We formulate the renormalization procedure by classification of subgroups of $G_N$ and corresponding fixed points in the triangle. We also calculate Casimir energy for such geometries, for scalar massless fields. More detailed calculation is given for odd $N$.

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