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Title: Dyson-Schwinger equations : a tool for hadron physics.

Abstract

Dyson-Schwinger equations furnish a Poincare covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. The gap equation reveals that dynamical chiral symmetry breaking is tied to the long-range behavior of the strong interaction, which is thereby constrained by observables, and the pion is precisely understood, and seen to exist simultaneously as a Goldstone mode and a bound state of strongly dressed quarks. The systematic error associated with the simplest truncation has been quantified, and it underpins a one-parameter model efficacious in describing an extensive body of mesonic phenomena. Incipient applications to baryons have brought successes and encountered challenges familiar from early studies of mesons, and promise a covariant field theory upon which to base an understanding of contemporary large momentum transfer data.

Authors:
; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC); OGA
OSTI Identifier:
961168
Report Number(s):
ANL/PHY/JA-45203
TRN: US1003270
DOE Contract Number:  
DE-AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Int. J. Mod. Phys. E
Additional Journal Information:
Journal Volume: 12; Journal Issue: 3 ; Jun. 2003
Country of Publication:
United States
Language:
ENGLISH
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BARYONS; BETHE-SALPETER EQUATION; BOUND STATE; CHIRAL SYMMETRY; CONFINEMENT; EQUATIONS; ERRORS; FADDEEV EQUATIONS; FORM FACTORS; HADRONS; MESONS; MOMENTUM TRANSFER; PHYSICS; PIONS; QUANTUM CHROMODYNAMICS; QUARKS; SIMULATION; STRONG INTERACTIONS; SYMMETRY; SYMMETRY BREAKING

Citation Formats

Maris, P., Roberts, C. D., Physics, and North Carolina State Univ. Dyson-Schwinger equations : a tool for hadron physics.. United States: N. p., 2003. Web. doi:10.1142/S0218301303001326.
Maris, P., Roberts, C. D., Physics, & North Carolina State Univ. Dyson-Schwinger equations : a tool for hadron physics.. United States. doi:10.1142/S0218301303001326.
Maris, P., Roberts, C. D., Physics, and North Carolina State Univ. Sun . "Dyson-Schwinger equations : a tool for hadron physics.". United States. doi:10.1142/S0218301303001326.
@article{osti_961168,
title = {Dyson-Schwinger equations : a tool for hadron physics.},
author = {Maris, P. and Roberts, C. D. and Physics and North Carolina State Univ.},
abstractNote = {Dyson-Schwinger equations furnish a Poincare covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. The gap equation reveals that dynamical chiral symmetry breaking is tied to the long-range behavior of the strong interaction, which is thereby constrained by observables, and the pion is precisely understood, and seen to exist simultaneously as a Goldstone mode and a bound state of strongly dressed quarks. The systematic error associated with the simplest truncation has been quantified, and it underpins a one-parameter model efficacious in describing an extensive body of mesonic phenomena. Incipient applications to baryons have brought successes and encountered challenges familiar from early studies of mesons, and promise a covariant field theory upon which to base an understanding of contemporary large momentum transfer data.},
doi = {10.1142/S0218301303001326},
journal = {Int. J. Mod. Phys. E},
number = 3 ; Jun. 2003,
volume = 12,
place = {United States},
year = {2003},
month = {6}
}