ANALYTIC PROPERTIES OF THE S-MATRIX IN PERTURBATION THEORY. Lecture Given by R.E. Cutkosky at Universitetets Institut for Teoretisk Fysik and NORDITA Copenhagen. Notes Prepared by J. Kalckarand A. Reitan

Technical Report · Sun Jul 01 04:00:00 EDT 1962

OSTI ID:4708618

Mandelstam's method for dealing with the S-matrix used to find from the in-state of incoming beams of wave packets the out-components observed after interactions is discussed. Generalizations of the method are discussed as well as some of its applications. Two versions of the crossing symmetry that play an important part in Smatrix application are presented, the Mandelstam diagram being shown to illustrate crossing symmetry. Singularities of the scattering amplitude in perturbation theory are also examined, and solutions of the Landu-Bjorken equation are shown to give the isolated singularities of finite ordered graphs. Examples of reduced graphs associated with these singularities are presented as are plausibility arguments. Treatment is also extended to cover particles with spin; and third and fourth order graphs are examined, the results of the study being applied to a few physical problems. Some aspects of the partial wave expansion as related to dispersion theory techniques are also discussed. (D.C.W.)

• Research Organization: Nordisk Institut for Teoretisk Atomfysik, Copenhagen
• NSA Number: NSA-17-011483
• OSTI ID: 4708618
• Report Number(s): NP-12436
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ELEMENTARY PARTICLES
FIELD THEORY
INTERACTIONS
MANDELSTAM REPRESENTATION
MATRICES
PERTURBATION THEORY
PHYSICS
QUANTUM MECHANICS
S-MATRIX
SCATTERING
SCATTERING AMPLITUDE
SPIN
SYMMETRY