Top quark mass bounds in the hierarchical chiral symmetry-breaking framework

1989 ◽  
Vol 227 (1) ◽  
pp. 171-177 ◽  
Author(s):  
Carl H. Albright
Author(s):  
Orlando Oliveira ◽  
Paulo J. Silva

Abstract The quark propagator at finite temperature is investigated using quenched gauge configurations. The propagator form factors are investigated for temperatures above and below the gluon deconfinement temperature $$T_c$$Tc and for the various Matsubara frequencies. Significant differences between the functional behaviour below and above $$T_c$$Tc are observed both for the quark wave function and the running quark mass. The results for the running quark mass indicate a link between gluon dynamics, the mechanism for chiral symmetry breaking and the deconfinement mechanism. For temperatures above $$T_c$$Tc and for low momenta, our results support also a description of quarks as free quasiparticles.


1996 ◽  
Vol 11 (12) ◽  
pp. 1001-1009 ◽  
Author(s):  
HIROFUMI YAMADA

We propose the use of Heaviside transform with respect to the quark mass to investigate dynamical aspects of QCD. We show that at large momentum transfer the transformed propagator of massive quarks behaves softly and thus the dominant effect of explicit chiral symmetry breaking disappears through Heaviside transform. This suggests that it is more convenient to do massless approximation in the transformed quantity than in the original one. As an example of explicit approximation, we estimate the massless value of the quark condensate.


2001 ◽  
Vol 16 (supp01c) ◽  
pp. 899-901 ◽  
Author(s):  
Alfredo Aranda ◽  
Christopher D. Carone

A topcolor model is presented that contains both composite and fundamental scalar fields. Strong dynamics accounts for most of the top quark mass and part of the electroweak symmetry breaking scale. The fundamental scalar is weakly coupled and transmits its share of electroweak symmetry breaking to the light fermions. The model is allowed by the current experimental bounds, and can give a potentially large contribution to [Formula: see text] mixing.


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