33,419 research outputs found
Extended Derivative Dispersion Relations
It is shown that, for a wide class of functions with physical interest as
forward scattering amplitudes, integral dispersion relations can be replaced by
derivative forms without any high-energy approximation. The applicability of
these extended derivative relations, in the investigation of forward
proton-proton and antiproton-proton elastic scattering, is exemplified by means
of a Pomeron-Reggeon model with totally nondegenerate trajectories.Comment: 7 pages, 1 figure, contribution to "Sense of Beauty in Physics",
Miniconference in Honor of Adriano Di Giacomo on his 70th Birthday, Pisa,
Italy, Jan. 26-27, 200
Dispersion Relations in String Theory
We analyze the analytic continuation of the formally divergent one-loop
amplitude for scattering of the graviton multiplet in the Type II Superstring.
In particular we obtain explicit double and single dispersion relations,
formulas for all the successive branch cuts extending out to plus infinity, as
well as for the decay rate of a massive string state of arbitrary mass 2N into
two string states of lower mass. We compare our results with the box diagram in
a superposition of -like field theories. The stringy effects are traced
to a convergence problem in this superposition.Comment: 17 pages, COLUMBIA-YITP-UCLA/93/TEP/45 (figures fixed up
Parapositronium Decay and Dispersion Relations
Positronium decay rates are computed at the one-loop level, using
convolution-type factorized amplitudes. The dynamics of this factorization is
probed with dispersion relations, showing that unallowed approximations are
usually made, and some ordre alpha^2 corrections missed. Further, we discuss
the relevance of the Schrodinger wavefunction as the basis for perturbative
calculations. Finally, we apply our formalism to the parapositronium two-photon
decay.Comment: LaTeX, 13 pages, 1 eps figur
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