Remark on the renormalization group and total cross sections

Journal Article · Mon Nov 15 04:00:00 EST 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.14.2665· OSTI ID:7329793

Khuri, N N

Recently the renormalization-group method has been used to give the asymptotic behavior of the physical fixed-angle scattering amplitude in phi/sup 4/ field theory. This method does not directly apply to forward (or backward) scattering due to the inevitably singular nature of the zero-mass vertex functions at theta/sub c.//sub m./ = 0 or ..pi... The method used to get the above results is applied to integrals of the vertex functions over the angle variable. The resulting restriads us, withtion on these integrals leads, with the help of rigorously established inequalities due to Bessis and Singh, to a new strong upper bound on sigma/sub tot/(s) for the massive phi/sup 4/ case. The new input needed to get this result is, like many of the assumptions used in connection with the renormalization-group method, valid at least order by order in perturbation theory. (AIP)

• Research Organization: Rockefeller University, New York, New York 10021
• OSTI ID: 7329793
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 14:10; 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
ASYMPTOTIC SOLUTIONS
CROSS SECTIONS
ELASTIC SCATTERING
FIELD THEORIES
PERTURBATION THEORY
QUANTUM FIELD THEORY
RENORMALIZATION
SCATTERING
SCATTERING AMPLITUDES
SINGULARITY
TOTAL CROSS SECTIONS