Systematic investigation of effects of heavy particles via factorized local operators and the renormalization group. I. General formulation in quantum electrodynamics

Journal Article · Fri Feb 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.1116· OSTI ID:5660713

Kazama, Y; Yao, Y

In any renormalizable theory without spontaneously broken symmetry, where there are both heavy (M) and light (m) particles, we can show that when M is larger than any scale, then all the O (1/M/sup 2/) heavy-particle effects in the general n-point proper amputated light Green's functions can be written asGAMMA/sup n//sub fulltheory/=GAMMA/sup n//sub lighttheory/ +(1/M/sup 2/) ..sigma../sub N/C/sub N/GAMMA/sup n/(O/sub N/)/sub lighttheory/, where GAMMA/sup n//sub lighttheory/ and GAMMA/sup n/(O/sub N/)/sub lighttheory/ are Green's functions and the corresponding operator inserted ones, calculated within the same theory without the heavy particles. O/sub N/ are a finite set of operators with densities of dimensions < or = 6. The universal coefficient functions C/sub N/ have all the dependence on heavy particles, such as coupling constants and ln(M/m), and are calculable via a set of Callan-Symanzik-type equations. In this article we specialize to a general formulation in QED and in an ensuing article we shall solve the scaling equations with the relevant anomalous dimensions explicitly evaluated to one-loop order.

• Research Organization: Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48109
• OSTI ID: 5660713
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

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645201* -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- General &amp; Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
ELECTRODYNAMICS
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
INTERACTIONS
LEPTONS
MATRIX ELEMENTS
MUONS
PARTICLE INTERACTIONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SYMMETRY BREAKING
WAVE FUNCTIONS