Singapore: World Scientific. – 1986. – 556 p. Despite the fact that local field theory is successful in describing electromagnetic, and to a lesser extent, weak interactions, it seems to be plagued with difficulties when applied to strong interactions. Firstly, the available methods in field theory are largely tied to perturbation expansions In the coupling constant and the coupling constant for strong interactions is large; secondly, because of the proliferation of strongly-interacting particle It seems Impracticable to associate e new field to each new particle. This work is based on the fundamental postulates of Poincare invariance, Cluster decomposition, Analyticity, Unitarity end Crossing symmetry. The main difficulty here lies in disentangling the complicated non-liner relation implied by uniterity; in general, rather drastic simplifying assumptions must be made. In Part I we introduce the phenomenological concept of duality after giving some elementary discussion of Ragga poles and resonances. This explains the motivation for constructing the dual resonance models. Part II deals with the Venesiano function, its multiparticle generalization and derive the exponential degeneracy of states. Here the very important projective group 0(2,1) is first introduced. In Part III the operator formulation of the modal is analyzed, making extensive use of the projective group. The no-ghost theorem is proved here. The treatment of internal symmetry, particularly isospin, is made in Part IV. The difficulty of introducing broken symmetries (such as 8U3) is pointed out, and then the rubber string derivation of the Venaziano modal is given. The main subject of Part V is the introduction of fermione, and the principal properties of the Neveu- Schwarz-Ramond theory are worked through in some detail. In Part VI the symmetric group approach is used to classify the earlier models, end to lead the way towards improved ones. To correct, at least partially, for our theoretical bies we outline in Part VII some of the phenomenological applications of the generalized Euler В function formula. Finally, in an Appendix, we show how, in the limit of small Ragga slope, dual resonance models reduce to lagrangian field theories.
Preface to Reprinted and Expanded Edition v
Original Preface lx
Duality
Multiparticle dual model
Operator formalism
Internal symmetry
Symmetric croup
Phenomenological applications
Superstrings
Explicitу Evaluation of Anomalies in Higher Dlaenelone
Anomaly Cancellations In Supersymmetric
D=10 Gauge Theory and Superstring Theory
Superstrings from 26 Dimensions?
Heterotic String