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arXiv · hep-th/0306259

Casimir energy inside a triangle

H. Ahmedov·I. H. Duru
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Abstract

For certain class of triangles (with angles proportional to $\frπ{N}$, $N\geq 3$) 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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H. Ahmedov, I. H. Duru. 2003-06-26. Casimir energy inside a triangle. https://doi.org/10.1063/1.1643196

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