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VOLUME 58 (1993) | ISSUE 7 | PAGE 481
Local and global quantum effects on cosmic string spacetime
The effective action and vacuum energy of a quantum scalar field around a cosmic string are considered. Analogy is pointed out with quantum theory with boundaries. The surface infinities in the effective action are shown to appear and are removed by renormalization of the string tension. Besides, the total renormalized energy of the string and field turns out to be finite due to cancelation of the known non-integrable divergence in the energy density of the field with a counterterm in the bare string tension.