Field theory of relativistic strings. I. Trees
Abstract
We present an entirely new kind of field theory, a field theory quantized not at spacetime points, but quantized along an extended set of multilocal points on a string. This represents a significant departure from the usual quantum field theory, whose free theory represents a definite set of elementary particles, because the field theory on relativistic strings can accommodate an infinite set of linearly rising Regge trajectories. In this paper, we (1) present canonical quantization and the Green's function of the free string, (2) introduce threestring interactions, (3) resolve the question of multiple counting, (4) complete the counting arguments for all N point trees, and (5) introduce fourstring interactions which yield a YangMills structure when the zeroslope limit is taken. In future work, we will discuss loops and explicitly calculate ReggeonPomeron and PomeronPomeron interactions.
 Publication:

Electronics Letters
 Pub Date:
 September 1984
 DOI:
 10.1142/9789814542456_0048
 Bibcode:
 1984ElL....20..787M
 Keywords:

 Gallium Arsenides;
 Low Noise;
 Millimeter Waves;
 Mixing Circuits;
 Schottky Diodes;
 Electron Microscopy;
 Fabrication;
 Microwave Circuits;
 Reinforcement (Structures);
 Single Sideband Transmission;
 Vapor Phase Epitaxy;
 Electronics and Electrical Engineering