Published August 29, 1994
| Version v1
Journal article
Solvability, consistency, and the renormalization group in large-Nc models of hadrons
Creators
- 1. Physics Department, University College of Swansea, Swansea, SA2 8PP (United Kingdom)
- 2. Physics Department, Michigan State University, East Lansing, Michigan 48823 (United States)
- 3. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Description
We study meson-baryon Lagrangians in the large-Nc limit, and show the following. (a) To leading order in 1/Nc, the dressed 1-meson--2-baryon Green's functions (an infinite class of divergent Feynman graphs) are obtained exactly by solving coupled classical field equations with a UV cutoff. (b) The only effect of this graph resummation is to renormalize---consistent with large-Nc selection rules---the bare Yukawa couplings, baryon masses and hyperfine baryon mass splittings. (c) The exact large-Nc renormalization group equations for these quantities are derived. Skyrme-type models are conjectured to be UV fixed points of such flows
Additional details
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 73
- Journal Issue
- 9
- Journal Page Range
- p. 1211-1214.
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 26012522
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BARYONS; FEYNMAN DIAGRAM; FIELD EQUATIONS; GREEN FUNCTION; LAGRANGIAN FUNCTION; MASS; MESONS; SKYRME POTENTIAL; YUKAWA POTENTIAL
- Descriptors DEC
- BOSONS; DIAGRAMS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; FUNCTIONS; HADRONS; INFORMATION; NUCLEAR POTENTIAL; NUCLEON-NUCLEON POTENTIAL; POTENTIALS