Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-02-17
Phys.Rev.D50:4075-4078,1994
Physics
High Energy Physics
High Energy Physics - Theory
Brown preprint BROWN-HET-936, 11 pages (two figures available upon request), uses phyzzx
Scientific paper
10.1103/PhysRevD.50.4075
In this note we present an explicit procedure for the regularization of tree level amplitudes involving discrete states, using open string field theory. We show that there is a natural correspondence between the discrete states and off--shell states, later acting as a regularized version of the former. A general off-shell state corresponds to several physical states. In order to obtain the well--defined $S$ matrix elements one has to choose representatives close but not equal to the desired values of external momenta. The procedure renders finite all $4$-point amplitudes with an even number of (naively) divergent channels even after the regularization is removed. The rest of the amplitudes can be defined by means of such regularization.
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