Chiral logarithms in quenched m sub. pi. and f sub. pi

Journal Article · Tue May 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.3233· OSTI ID:7096021

Sharpe, S R ^[1]

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1. Department of Physics, FM-15, University of Washington, Seattle, Washington 98195 (US)

A diagrammatic analysis predicts that, in the quenched approximation, there should be no chiral logarithms, at leading order, in {ital m}{sub {pi}} or {ital f}{sub {pi}}, for gauge groups SU({ital N}{ge}3). Morel has done an explicit calculation in the strong-gauge-coupling, large-dimension limit, and finds that there are such logarithms. I point out that Morel's calculation is of a quantity different from the quenched pion propagator. I show that if one calculates the correct quantity then there are no chiral logarithms. For SU(2), however, the diagrammatic analysis predicts that there are chiral logarithms in quenched {ital m}{sub {pi}} and {ital f}{sub {pi}}.

• DOE Contract Number: AS06-88ER40423
• OSTI ID: 7096021
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
BOSONS
CHIRAL SYMMETRY
COMPOSITE MODELS
ELEMENTARY PARTICLES
FIELD THEORIES
GOLDSTONE BOSONS
HADRONS
LIE GROUPS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATRIX ELEMENTS
MESONS
PARTICLE MODELS
PIONS
POSTULATED PARTICLES
PROPAGATOR
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
STRONG-COUPLING MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
WARD IDENTITY