Field theory of relativistic strings. II. Loops and Pomerons

Abstract

In a previous paper we showed how to construct the field theory of relativistic strings, which is an entirely new kind of field theory, one based on quantizing along multilocal strings. We showed how to write down the Lagrangian, canonical commutation relations, and all tree amplitudes. In this paper we extend our previous results by (1) completing the graph counting for loops and showing that it reduces to the usual dual multiloop graphs and to the usual ${\varphi }^3$ counting, (2) demonstrating that Pomeron contributions must be added to our master Lagrangian if we are to preserve duality and crossing symmetry, (3) giving explicit matrix elements for Reggeon-Pomeron and Pomeron-Pomeron interactions, (4) giving a mechanism for shifting masses by summing over all Reggeon-Pomeron direct transition graphs, and (5) commenting on the relationship between the Shapiro-Virasoro model and quantized gravity.