InfraredRegulated String Theory and Loop Corrections to Coupling Constants
Abstract
Exact superstring solutions are constructed in 4D spacetime, with positive curvature and nontrivial dilaton and antisymmetric tensor fields. The full spectrum of string excitations is derived as a function of moduli fields $T^{i}$ and the scale $\mu^2=1/(k+2)$ which is induced by the nonzero background fields. The spectrum of string excitations has a nonzero mass gap $\mu^2$ and in the weak curvature limit ($\mu$ small) $\mu^2$ plays the role of a well defined infrared regulator, consistent with modular invariance, gauge invariance, supersymmetry and chirality. The effects of a covariantly constant (chomo)magnetic field $H$ as well as additional curvature can be derived exactly up to one stringloop level. Thus, the oneloop corrections to all couplings (gravitational, gauge and Yukawas) are unambiguously computed and are finite both in the UltraViolet and the InfraRed regime. These corrections are necessary for quantitative string superunification predictions at low energies. The oneloop corrections to the couplings are also found to satisfy Infrared Flow Equations. Having in our disposal an exact description which goes beyond the leading order in the $\alpha'$expansion or the linearized approximation in the magnetic field, we find interesting clues about the physics of string theory in strong gravitational and magnetic fields. In particular, the nature of gravitational or magnetic instabilities is studied.
 Publication:

arXiv eprints
 Pub Date:
 July 1995
 arXiv:
 arXiv:hepth/9507051
 Bibcode:
 1995hep.th....7051K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Based on talks given by the authors at the Strings95 conference in USC, Los Angeles. Contains some new results