High energy behavior of fermion--meson and meson--meson scattering in a supersymmetric field theory

Technical Report · Thu Dec 01 00:00:00 EST 1977

DOI:https://doi.org/10.2172/5273425· OSTI ID:5273425

Opoien, J. W.

A review of the general methods of high energy calculations within the framework of field theory is given. These include Feynman parameter methods, the infinite momentum frame, and Mellin transform methods. A general discussion of supersymmetry is also presented. The basic aspects of the Wess-Zumino model are given. This includes a proof of renormalizability through one-loop, and a derivation of the Feynman rules. The general supersymmetry algebra is presented. The method of generating representations of this algebra through the concept of superfields is discussed. The high energy behavior of fermion-boson and boson-boson scattering amplitudes of a supersymmetric field theory containing a spin-/sup 1///sub 2/ fermion field, a scalar field, and a pseudoscalar field is investigated. The results can be easily modified to apply to the Yukawa model and the neutral version of the linear sigma model. The results are also compared to those of fermion-fermion scattering in the same model. In the leading logarithm approximation, ladders with fermions running along the sides in the t channel and mesons as rungs dominate in each order of two classes of diagrams. The sums of the dominant series give rise to fixed Regge cuts for all amplitudes in each of the three theories. All amplitudes in the supersymmetric theory possess a definite signature factor, while the amplitudes for fermion-fermion and fermion-antifermion scattering in the Y model and the sigma model lack it. The results of the supersymmetric theory are also compared to the results of the spontaneously broken non-Abelian gauge theory.

• Research Organization: Ames Lab., Ames, IA (United States)
• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 5273425
• Report Number(s): IS-T-797; TRN: 78-002945
• Resource Relation: Other Information: Thesis
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MESON-BARYON INTERACTIONS
SCATTERING AMPLITUDES
MESON-MESON INTERACTIONS
SIGMA MODEL
ALGEBRA
DIAGRAMS
FEYNMAN DIAGRAM
FIELD THEORIES
GAUGE INVARIANCE
LADDER APPROXIMATION
LINEAR MOMENTUM
MELLIN TRANSFORM
MESONS
RENORMALIZATION
REVIEWS
SUPERGRAVITY
SYMMETRY BREAKING
YUKAWA POTENTIAL
AMPLITUDES
BOSONS
DOCUMENT TYPES
ELEMENTARY PARTICLES
HADRON-HADRON INTERACTIONS
HADRONS
INTEGRAL TRANSFORMATIONS
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICS
NUCLEAR POTENTIAL
PARTICLE INTERACTIONS
PARTICLE MODELS
TRANSFORMATIONS
645205* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions
Baryon No. = 0- (-1987)
645206 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions
Baryon No. = 1- (-1987)