(8,8) chiral-symmetry breaking and theKl4-decay form factors

1975 ◽  
Vol 11 (7) ◽  
pp. 1979-1985
Author(s):  
C. V. Sastry ◽  
T. N. Tiwari
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Form Factors ◽  
Decay Form

Kℓ3 form factors, smoothness and chiral symmetry breaking

1970 ◽  
Vol 24 (2) ◽  
pp. 305-313 ◽  
Author(s):  
G.J. Komen
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Form Factors

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.

Chiral Symmetry Breaking and theKl4Axial-Vector Form Factors

1970 ◽  
Vol 2 (11) ◽  
pp. 2703-2710 ◽  
Author(s):  
Kenneth D. Lane
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Form Factors ◽  
Vector Form

Kl3 form factors and the (8,8) model of chiral symmetry breaking—Unitarized version

1976 ◽  
Vol 102 (2) ◽  
pp. 448-457
Author(s):  
Ahmed Ali ◽  
M.S.K Razmi
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Form Factors

scholarly journals The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Luis Albino ◽  
Adnan Bashir ◽  
Bruno El-Bennich ◽  
Eduardo Rojas ◽  
Fernando E. Serna ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Limit ◽  
Chiral Symmetry Breaking ◽  
Form Factors ◽  
Coordinate Space ◽  
Scalar Form ◽  
Dynamical Chiral Symmetry Breaking ◽  
The Impact ◽  
Slavnov Taylor Identities

Abstract We extend earlier studies of transverse Ward-Fradkin-Green-Takahashi identities in QED, their usefulness to constrain the transverse fermion-boson vertex and their importance for multiplicative renormalizability, to the equivalent gauge identities in QCD. To this end, we consider transverse Slavnov-Taylor identities that constrain the transverse quark-gluon vertex and derive its eight associated scalar form factors. The complete vertex can be expressed in terms of the quark’s mass and wave-renormalization functions, the ghost-dressing function, the quark-ghost scattering amplitude and a set of eight form factors. The latter parametrize the hitherto unknown nonlocal tensor structure in the transverse Slavnov-Taylor identity which arises from the Fourier transform of a four-point function involving a Wilson line in coordinate space. We determine the functional form of these eight form factors with the constraints provided by the Bashir-Bermudez vertex and study the effects of this novel vertex on the quark in the Dyson-Schwinger equation using lattice QCD input for the gluon and ghost propagators. We observe significant dynamical chiral symmetry breaking and a mass gap that leads to a constituent mass of the order of 500 MeV for the light quarks. The flavor dependence of the mass and wave-renormalization functions as well as their analytic behavior on the complex momentum plane is studied and as an application we calculate the quark condensate and the pion’s weak decay constant in the chiral limit. Both are in very good agreement with their reference values.

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