Current--current commutators, slices of the light cone, and the value of the sigma term

Journal Article · Sat Sep 15 04:00:00 EDT 1973 · Phys. Rev., D, v. 8, no. 6, pp. 1820-1827

OSTI ID:4357529

Cocho, G; Garcia, A; Giambiagi, J J

Once-Integrated commutators of current components are studied. The from a slice'' of the light cone, in contrast to the case when the nly the vertex of the cone. Sum rules are obtained whose main property is that only a finite act of intermediate states contribute. These sum rules resemble finite-energy sum rules. An application to chiral-symmetry breaking is given. The value C = -1.O5 is obtained. Finally an estimation of the sigma term is made. Its value ranges from 50 MeV to l27 MeV. (auth)

• Research Organization: Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Mexico 20, D.F.
• NSA Number: NSA-29-013862
• OSTI ID: 4357529
• Journal Information: Phys. Rev., D, v. 8, no. 6, pp. 1820-1827, Journal Name: Phys. Rev., D, v. 8, no. 6, pp. 1820-1827; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*CURRENT ALGEBRA-- PION-PROTON INTERACTIONS
*CURRENT COMMUTATORS-- SUM RULES
CHIRAL SYMMETRY
LIGHT CONE
N64210* --Physics (High Energy)--Particle Interactions & Properties (Theoretical)--General
N64260 --Physics (High Energy)--Particle Interactions & Properties (Theoretical)--Strong (Baryon No. = 1)
PCAC THEORY
SCATTERING AMPLITUDES
SIGMA TERMS
SU-3 GROUPS
SYMMETRY BREAKING