The Box Graph In Superstring Theory
pith:LB7UKQWX Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{LB7UKQWX}
Prints a linked pith:LB7UKQWX badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
In theories of closed oriented superstrings, the one loop amplitude is given by a single diagram, with the topology of a torus. Its interpretation had remained obscure, because it was formally real, converged only for purely imaginary values of the Mandelstam variables, and had to account for the singularities of both the box graph and the one particle reducible graphs in field theories. We present in detail an analytic continuation method which resolves all these difficulties. It is based on a reduction to certain minimal amplitudes which can themselves be expressed in terms of double and single dispersion relations, with explicit spectral densities. The minimal amplitudes correspond formally to an infinite superposition of box graphs on $\phi ^3$ like field theories, whose divergence is responsible for the poles in the string amplitudes. This paper is a considerable simplification and generalization of our earlier proposal published in Phys. Rev. Lett. 70 (1993) p 3692.
This paper has not been read by Pith yet.
Forward citations
Cited by 2 Pith papers
-
$c=1$ strings as a matrix integral
The c=1 string perturbative S-matrix equals a double-scaled (0+0)-dimensional matrix integral on the spectral curve x(z)=2√2 cos(z), y(z)=sin(z), establishing triality with worldsheet and matrix quantum mechanics desc...
-
Precision asymptotics of string amplitudes
An infinite family of complex saddles plus a bootstrap on multiplicities yields a precise high-energy asymptotic expansion for one-loop string amplitudes with oscillatory terms.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.