Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-12-23
Nucl.Phys.B450:115-173,1995
Physics
High Energy Physics
High Energy Physics - Theory
68 pages (equations 8.16 and 8.17 corrected; added footnotes 4,5,11)
Scientific paper
10.1016/0550-3213(95)00315-J
We present the computation of threshold functions for Abelian orbifold compactifications. Specifically, starting from the massive, moduli-dependent string spectrum after compactification, we derive the threshold functions as target space duality invariant free energies (sum over massive string states). In particular we work out the dependence on the continuous Wilson line moduli fields. In addition we concentrate on the physically interesting effect that at certain critical points in the orbifold moduli spaces additional massless states appear in the string spectrum leading to logarithmic singularities in the threshold functions. We discuss this effect for the gauge coupling threshold corrections; here the appearance of additional massless states is directly related to the Higgs effect in string theory. In addition the singularities in the threshold functions are relevant for the loop corrections to the gravitational coupling constants.
Cardoso Gabriel Lopes
Lust Dieter
Mohaupt Thomas
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