Chiral hierarchies from slowly running couplings in technicolor theories

Journal Article · Wed Jul 15 04:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.568· OSTI ID:6347288

Appelquist, T; Wijewardhana, L C.R.

Chiral-symmetry breaking in asymptotically free theories with slowly running couplings is analyzed. When the confinement scale ..lambda.. is much less than the cutoff M beyond which the theory cannot be used in isolation, the dynamical mass ..sigma..(p) starts from a value approx. =..lambda.. for momenta papprox. <..lambda.. and falls slowly for a significant range p>..lambda... It then takes on the asymptotic form (lnp)/sup a//p/sup 2/ where a>1. This behavior leads to an enhancement of the fermion condensate defined with the ultraviolet cutoff M, while the Goldstone-boson decay constant F remains essentially unaltered. In technicolor theories, with four-fermion interactions of strength approx. =1/M/sup 2/ that explicitly break some chiral symmetries, the technifermion condensate determines the values of fermion masses and pseudo-Goldstone-boson masses while F determines W and Z masses. An enhancement of the technifermion condensate will then generate fermion and pseudo-Goldstone-boson masses for higher values of M than naively expected, keeping W and Z masses nearly fixed. This could allow for an adequate suppression of the flavor-changing neutral currents that have plagued technicolor theories. Explicit gauge theories that exhibit slow running are tabulated and the results of a numerical study are reported.

• Research Organization: Department of Physics, Yale University, New Haven, Connecticut 06511
• OSTI ID: 6347288
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles &amp; Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
COUPLING
ELEMENTARY PARTICLES
FIELD THEORIES
GAUGE INVARIANCE
GOLDSTONE BOSONS
INVARIANCE PRINCIPLES
MASS FORMULAE
POSTULATED PARTICLES
QUANTUM FIELD THEORY
SYMMETRY
SYMMETRY BREAKING