Dynamical and explicit chiral symmetry breaking in quantum chromodynamics

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1981

OSTI ID:6089643

Stokar, S J

We study the role of both dynamical and explicit chiral symmetry breaking in quantum chromodynamics (QCD). The quark self energy ..sigma.. can be uniquely separated into two terms; ..sigma../sub D/, due to dynamical symmetry breaking and ..sigma../sub E/, due to the presence of explicit chiral symmetry breaking terms in the QCD Lagrangian. The asymptotic behavior of both functions is determined. The dynamical and current quark masses are defined. To lowest order in g, the gauge field coupling constant and lambda = exp- (1/2) we obtain exact representations for the pion decay constant f/sub ..pi../ and electromagnetic form factor F/sub ..pi../(q/sup 2/). Using the experimental values of f/sub ..pi../ and lim F/sub ..pi../(q/sup 2/)/-q/sup 2/ ..-->.. /sup 00/ we estimate the dynamically generated quark mass to be 270 to 300 MeV, in good agreement with a value obtained from e/sup +/e-annihilation data. Using the known light current quark mass ratios we estimate their absolute magnitudes in two ways. Our results are m/sub ..mu../ = 1.8 +- 0.7 MeV, m/sub d/ = 4.3 +- 1.7 MeV and m/sub s/ = 112 +- 66 MeV at a renormalization point mass ..mu.. approx. 1 GeV.

• Research Organization: Rockefeller Univ., New York (USA)
• OSTI ID: 6089643
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
DECAY
ELEMENTARY PARTICLES
ENERGY
FIELD THEORIES
FORM FACTORS
HADRONS
MASS
MESONS
PARTICLE DECAY
PARTICLE PROPERTIES
PIONS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
SELF-ENERGY
SYMMETRY
SYMMETRY BREAKING