Hierarchical chiral symmetry breaking and quark mass matrices revisited

1989 ◽  
Vol 44 (4) ◽  
pp. 673-679 ◽  
Author(s):  
C. H. Albright ◽  
M. Lindner
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Mass Matrices

scholarly journals Finite temperature Landau gauge lattice quark propagator

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Orlando Oliveira ◽  
Paulo J. Silva
Keyword(s):  
Wave Function ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Finite Temperature ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Form Factors ◽  
Landau Gauge ◽  
Quark Propagator ◽  
Quark Wave Function

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.

scholarly journals HEAVISIDE TRANSFORM WITH RESPECT TO THE MASS IN QCD

1996 ◽  
Vol 11 (12) ◽  
pp. 1001-1009 ◽  
Author(s):  
HIROFUMI YAMADA
Keyword(s):  
Symmetry Breaking ◽  
Momentum Transfer ◽  
Chiral Symmetry ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Quark Condensate ◽  
Large Momentum Transfer ◽  
Large Momentum ◽  
Dominant Effect

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.

scholarly journals Alternative Scheme of Spontaneous Chiral Symmetry Breaking

1986 ◽  
Vol 39 (3) ◽  
pp. 347 ◽  
Author(s):  
GA Christos
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Alternative Scheme ◽  
Goldstone Bosons ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Mass Ratios ◽  
Usual Scheme

We develop an alternative scheme of spontaneous chiral symmetry breaking which is characterized by four-quark condensates instead of (7jq),*O. In this scheme the Nambu-Goldstone bosons acquire a mass squared - m~uark' in comparison with mquark in the usual scheme. The quark mass ratios and the parameters of the scheme are determined by an application to the pseudoscalar nonet spectrum (including 'lT0_'Yj_'Yj' mixing). The decays Iji -+('lT0 , 'Yj, 'Yj}y and Iji' -+ 1ji('lT0 , 'Yj) are also considered. The results do not promote the alternative scheme.

Confinement, chiral symmetry breaking and the effective quark mass

2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740024
Author(s):  
Edward Shuryak
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Paradigm Shift ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Magnetic Screening

Paradigm shift in gauge topology, from instantons to their constituents — instanton-dyons — has recently lead to very significant advances. Unlike instantons, these objects have three different set of charges, therefore allowing to explain and to tie together several important phenomena: confinement, chiral symmetry breaking and magnetic screening.

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