Ordered phase in Reggeon field theory

Journal Article · Fri Jul 15 04:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.16.466· OSTI ID:7297687

Bronzan, J B; Sugar, R L

We study the ordered phase of Reggeon field theory taking into account both the three- and four-Reggeon couplings. We find that for a range of parameters the ground state of the system is doubly degenerate. For a special value of the bare intercept the non-Hermitian Reggeon field theory Hamiltonian is related by a similarity transformation to a Hermitian one. The Hamiltonian formulation of the theory is therefore on a good footing, and we are able to construct the quantum ground states and study in detail how the ordered phase of Reggeon field theory differs from that of a conventional theory. We discuss a number of possible definitions of the Pomeron Green's functions, and show that for all physically acceptable ones the intercept of the Pomeranchuk singularity is exactly equal to one in the ordered phase. We perform an approximate calculation of the scattering amplitude in one transverse dimension directly in the continuum theory. We find, in agreement with previous spin-model calculations, that the scattering amplitude corresponds to a gray disk with a radius proportional to the log of the energy. Our approximate solution does not satisfy the constraints of t-channel unitarity, and we point out why the usual proof of unitarity will not go through in the exact theory.

• Research Organization: Serin Physics Laboratory, Rutgers University, Piscataway, New Jersey 08854
• OSTI ID: 7297687
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 16:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
BOSONS
ELEMENTARY PARTICLES
ENERGY LEVELS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
GROUND STATES
HADRONS
HAMILTONIANS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MESONS
PARTICLE PROPERTIES
POMERANCHUK PARTICLES
POSTULATED PARTICLES
PROPAGATOR
QUANTUM FIELD THEORY
QUANTUM OPERATORS
REGGE POLES
SCATTERING AMPLITUDES
SPIN
T CHANNEL
UNITARITY