Operator-product expansion with spontaneously broken symmetry

Journal Article · Wed Feb 01 04:00:00 EST 1989 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(89)90171-1· OSTI ID:6447365

Brown, L S; Lee, T

The operator-product expansion is a most important tool in quantum field theory, and it is often employed in theories that have a spontaneously broken symmetry such as QCD where chiral symmetry is broken. Claims have been made that the operator-product expansion does not apply to theories with a spontaneously broken symmetry. Although these claims have been previously rebutted, none of these works provide a precise and careful definition of the needed renormalized composite operators and of the operator-product expansion. This we do here for the simple case of scalar field theory. We show explicitly for the first two orders of perturbation theory that operator-product expansion does hold for the spontaneously broken theory for the case of the two-point Green's function. This we do both for the case of a single scalar field and also for the O(N) linear sigma-model. copyright 1989 Academic Press, Inc.

• Research Organization: Physics Department, FM-15, University of Washington, Seattle, Washington 98195
• OSTI ID: 6447365
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 189:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
OPERATOR PRODUCT EXPANSION
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SCALAR FIELDS
SERIES EXPANSION
SIGMA MODEL
SYMMETRY BREAKING