Twenty-five years ago, Michael Green, John Schwarz, and Edward Witten wrote two
volumes on string theory. Published during a period of rapid progress in this subject, these …

This book is the result of several years of work by the authors on different aspects of zeta
functions and related topics. The aim is twofold. On one hand, a considerable number of …

A new theory of closed orientable superstrings is constructed as a chiral combination of the
closed D= 26 bosonic and D= 10 fermionic strings. The resulting ten-dimensional theory is …

We present a covariant background field method for quantum string dynamics. It is based on
the effective action Γ for fields corresponding to different string modes. A formalism is …

Following Symanzik we argue that the Schrödinger functional in lattice gauge theories
without matter fields has a well-defined continuum limit. Due to gauge invariance no extra …

This graduate level text describes in a unified fashion the statistical mechanics of random
walks, random surfaces and random higher dimensional manifolds with an emphasis on the …

We present a covariant definition of the effective action Γ for fields corresponding to different
string excitations (scalar, metric, antisymmetric tensor,…) in terms of a string path integral …

The literature on the spectral analysis of second order elliptic differential operators contains
a great deal of information on the spectral functions for explicitly known spectra. The same is …

We discuss Polyakov's quantization of the string in the presence of a boundary allowing for
an arbitrary topology for the world sheet. In addition to the dynamical conformal factor …

Simple random walks-or equivalently, sums of independent random vari ables-have long
been a standard topic of probability theory and mathemat ical physics. In the 1950s, non …