Two-Reggeon cut in the ordered phase of Reggeon field theory

Journal Article · Tue Jan 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.535· OSTI ID:5728534

Gundersen, S C

The ordered phase of Reggeon field theory is analyzed in the framework of the Reggeon quantum spin model with three- and four-point couplings. We work at a particular value of the bare-intercept gap, ..delta../sub 0/=..delta../sub 0M/, for which the spin model is exactly solvable in one transverse dimension. We include the higher single-site states by developing a perturbative expansion for this spin model. The expansion is shown to be characterized by a small dimensionless parameter epsilon=16..cap alpha..'/sub 0/..delta../sub 0M/ /sup 3//r/sub 0/ /sup 4/. At each stage of calculation we are able to relate the spin model to the continuum Reggeon field theory by letting the lattice spacing go to zero. The two-point function is then calculated to order epsilon. We find that the necessary condition for satisfying Reggeon unitarity, of Regge-Mandelstam singularities appearing in the complex angular momentum plane, is satisfied in the form of the two-Reggeon cut.

• Research Organization: Department of Physics, Rutgers University, New Brunswick, New Jersey 08903
• OSTI ID: 5728534
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
FIELD THEORIES
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
PERTURBATION THEORY
PHASE TRANSFORMATIONS
PROPAGATOR
QUANTUM OPERATORS
REGGE CUTS
RENORMALIZATION
S CHANNEL
SPIN
T CHANNEL
UNITARITY