The vertex bootstrap conditions in the dual unitarisation scheme

doi:10.1016/0550-3213(77)90405-9

Nuclear Physics B

Volume 125, Issue 2, 11 July 1977, Pages 264-274

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Abstract

The bootstrap conditions for the triple- and double-Regge vertices are derived utilising the planar unitarity condition for six- and five-point amplitudes. The problem of symmetry breaking is considered within the one-dimensional approximation. It is shown that the vertex and propagator equations together predict the equal spacing rule for Regge trajectory intercepts and a well defined pattern of symmetry breaking for vertices.

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Cited by (3)

I. Theoretical aspects of baryonium physics
1980, Physics Reports
Dual topological unitarization: An ordered approach to Hadron theory
1978, Physics Reports
Baryons and dual unitarization
1977, Nuclear Physics, Section B
Processes involving baryons are discussed in the scheme of dual unitarization. In particular, the topological expansion is generalized to any hadronic S-matrix elements involving baryons and/or mesons. Our expansion is based on a model for the baryon propagator, which is a set of three planar Feynman diagrams joined at a junction line. The resulting expansion is a double expansion in 1/N (N= the number of quark flavours) and in the number of baryon loops. Based on this, several new observations are made in phenomenological problems, and a unifying point of view is stressed. The scheme is evidently crossing invariant, and unitarity constraints are imposed order by order in 1/N and in the baryon loop number.

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Nuclear Physics B

The vertex bootstrap conditions in the dual unitarisation scheme

Abstract

Phys. Letters

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

I. Theoretical aspects of baryonium physics

Dual topological unitarization: An ordered approach to Hadron theory

Baryons and dual unitarization