Adelic Formulas for Gamma and Beta Functions of One-Class Quadratic Fields: Applications to 4-Particle Scattering String Amplitudes
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Abstract
Regularized adelic formulas for gamma and beta functions for arbitrary quasicharacters (either ramified or not) and in an arbitrary field of algebraic numbers are concretized as applied to one-class quadratic fields (and to the field of rational numbers). Applications to 4-tachyon tree string amplitudes, to the Veneziano (open strings) and Virasoro (closed strings) amplitudes as well as to massless 4-particle amplitudes of the Ramond-Neveu-Schwarz superstring and a heterotic string are discussed. Certain relations between different superstring amplitudes are established.
Keywords
Cite
@article{arxiv.math-ph/0004017,
title = {Adelic Formulas for Gamma and Beta Functions of One-Class Quadratic Fields: Applications to 4-Particle Scattering String Amplitudes},
author = {V. S. Vladimirov},
journal= {arXiv preprint arXiv:math-ph/0004017},
year = {2007}
}
Comments
15 pages, Latex2e