Quantum stabilization of Z-strings, a status report on D=3+1 dimensions

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We investigate an extension to the phase shift formalism for calculating one-loop determinants. This extension is motivated by requirements of the computation of Z-string quantum energies in D=3+1 dimensions. A subtlety that seems to imply that the vacuum polarization diagram in this formalism is (erroneously) finite is thoroughly investigated.
Based on talk by O.S. at QFEXT07, Leipzig Sept. 2007. 8 pages

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