Light-cone operator expansions in perturbation theory. I

Journal Article · Mon Oct 15 04:00:00 EDT 1973 · Phys. Rev., D, v. 8, no. 8, pp. 2675-2687

DOI:https://doi.org/10.1103/PhysRevD.8.2675· OSTI ID:4333573

Cornwall, J M; Tiktopoulos, G

With the aid of a general algorithm for expanding a given Heisenberg operator product in terms of n-particle irreducible operator products integrated over c-number Bethe-Salpeter kernels, we discuss the expansion of bilocal products near the light cone. It is shown that, to any finite order in perturbation theory, only a small number of terms in the operator-product expansion can be singular on the light cone. In particular, some of the bilocal operators which determine the scaling properties of deep-inelastic electroproduction have potential singularities determined by operator-valued Bethe-Salpeter equations involving only these bilocals themselves (plus local fields). A generalization of the light-cone Bjorken-Johnson-Low (BJL) limit is given which reveals logarithmic singularities which occur in T products but not in commutators; this BJL limit is applied systematically to Feynman graphs in another paper. As a special case, the Wilson expansion is recovered. (auth)

• Research Organization: Department of Physics, University of California, Los Angeles, California 90024
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-025918
• OSTI ID: 4333573
• Journal Information: Phys. Rev., D, v. 8, no. 8, pp. 2675-2687, Journal Name: Phys. Rev., D, v. 8, no. 8, pp. 2675-2687; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*PERTURBATION THEORY-- LIGHT CONE
BETHE-SALPETER EQUATION
FEYNMAN DIAGRAM
HEISENBERG PICTURE
N76200* --Physics (Theoretical)--Quantum Field Theories
QUANTUM OPERATORS