scholarly journals Chiral symmetry and Heun’s equation

2020 ◽  
Vol 35 (07) ◽  
pp. 2050038
Author(s):  
Yoon-Seok Choun ◽  
Sang-Jin Sin
Keyword(s):  
Chiral Symmetry ◽  
Quark Mass ◽  
Regularity Condition ◽  
String Tension ◽  
Hadron Spectrum ◽  
Color Confinement ◽  
Current Quark Mass ◽  
Heun’S Equation ◽  
Higher Regularity ◽  
Current Quark

We show that the current quark mass should vanish to be consistent with the QCD color confinement: a bag model leads us to Heun’s equation, which requests that not only the energy but also the string tension should be quantized. This is due to the presence of higher-order singularity which requests higher regularity condition demanding that parameters of the theory should be related to one another. As a result, the Hadron spectrum is consistent with the Regge trajectory only when quark mass vanishes. Therefore, in this model, the chiral symmetry is a consequence of the confinement.

Wigner Solution to the Quark Gap Equation in the Nonzero Current Quark Mass

2012 ◽  
Vol 29 (4) ◽  
pp. 041201 ◽  
Author(s):  
Yu Jiang ◽  
Hao Gong ◽  
Wei-Min Sun ◽  
Hong-Shi Zong
Keyword(s):  
Quark Mass ◽  
Gap Equation ◽  
Current Quark Mass ◽  
Current Quark

scholarly journals SCALAR NONETS IN POLE-DOMINATED QCD SUM RULES

2008 ◽  
Vol 23 (27n30) ◽  
pp. 2230-2233
Author(s):  
TORU KOJO ◽  
DAISUKE JIDO
Keyword(s):  
Operator Product Expansion ◽  
Quark Mass ◽  
Sum Rules ◽  
Operator Product ◽  
Qcd Sum Rules ◽  
Current Quark Mass ◽  
Pole Dominance ◽  
Light Scalar ◽  
Current Quark

The light scalar nonets are studied using the QCD sum rules for the tetraquark operators. The operator product expansion for the correlators is calculated up to dimension 12 and this enables us to perform analyses retaining sufficient pole-dominance. To classify the light scalar nonets, we investigate the dependence on current quark mass and flavor dynamics. Especially, to examine the latter, we study separately SU(3) singlet and octet states, and show that the number of annihilation diagrams is largely responsible for their differences, which is also the case even after the inclusion of the finite quark mass. Our results support the tetraquark picture for isosinglets, while that for octets is not conclusive yet.

scholarly journals ON THE QCD SUM RULE DETERMINATION OF THE STRANGE QUARK MASS

2001 ◽  
Vol 16 (supp01b) ◽  
pp. 588-590 ◽  
Author(s):  
NELLO PAVER
Keyword(s):  
Spectral Function ◽  
Quark Mass ◽  
Strange Quark ◽  
Sum Rules ◽  
Sum Rule ◽  
Strange Quark Mass ◽  
Current Quark Mass ◽  
Current Quark

I briefly review recent QCD Sum Rules determinations of the strange current quark mass, based on the analysis of the two-point ΔS=1 scalar correlators and discuss, in particular, the role of resonances and non-resonant background in the spectral function.

STABILITY OF VACUUM AND QCD PHASE TRANSITION IN DYSON-SCHWINGER EQUATION APPROACH OF QCD

2008 ◽  
Vol 17 (09) ◽  
pp. 1965-1978 ◽  
Author(s):  
YU-XIN LIU ◽  
HUAN CHEN ◽  
LEI CHANG ◽  
YUE ZHAO ◽  
WEI YUAN
Keyword(s):  
Phase Transition ◽  
Simple Model ◽  
Quark Mass ◽  
Equation Approach ◽  
Qcd Phase Transition ◽  
Current Quark Mass ◽  
Running Coupling ◽  
The Stability ◽  
Chiral Susceptibility ◽  
Current Quark

We describe briefly the effects of the running coupling strength, the current quark mass, the temperature and density on the QCD phase structure and its transition in the framework of Dyson-Schwinger equation approach of QCD. With a simple model, we show that the chiral susceptibility can identify the stability of the vacuum and plays an important role in describing the QCD Phase transition.

scholarly journals Quasi-distribution amplitudes for pion and kaon via the nonlocal chiral-quark model

2017 ◽  
Vol 32 (39) ◽  
pp. 1750218 ◽  
Author(s):  
Seung-il Nam
Keyword(s):  
Quark Model ◽  
Quark Mass ◽  
Mass Difference ◽  
Energy Scale ◽  
Light Front ◽  
Distribution Amplitude ◽  
Chiral Quark Model ◽  
Current Quark Mass ◽  
Difference Formula ◽  
Current Quark

We investigate the pseudoscalar (PS) meson ([Formula: see text] and [Formula: see text]) quasi-distribution amplitude (QDA), which is supposed to be an asymptotic analog to the meson distribution amplitude (DA) [Formula: see text] in the limit of the large longitudinal PS-meson momentum, i.e. [Formula: see text], in the non-perturbative (NP) region. For this purpose, we employ the nonlocal chiral-quark model (NLChQM) in the light-front (LF) formalism with a minimal Fock-state for the mesons [Formula: see text][Formula: see text][Formula: see text] at the low-energy scale parameter of the model [Formula: see text][Formula: see text][Formula: see text][Formula: see text]1 GeV. As a trial, we extract the transverse-momentum distribution amplitude (TMDA) from the light-front wave function (LFWF) within the model, and convert it to QDA with help of the virtuality-distribution amplitude (VDA). By doing that, we derive an analytical expression for the NP QDA with the current-quark mass correction up to [Formula: see text]. Numerically, we confirm that the obtained TMDA reproduces the experimental data for the photon-pion transition form factor [Formula: see text] at the low-[Formula: see text] qualitatively well. We also observe that the obtained QDA approaches to DA as [Formula: see text] increases, showing the symmetric and asymmetric curves with respect to [Formula: see text] for the pion and kaon, respectively, due to the current-quark mass difference [Formula: see text]. Assigning [Formula: see text], the moments [Formula: see text] are computed, using the pion and kaon QDAs, and there appear only a few percent deviations in the moments for [Formula: see text] in comparison to the values calculated directly from DAs. It turns out that the higher moments are more sensitive to the change of [Formula: see text], whereas the lower ones depend less on it.

scholarly journals Quarks in a Polar Model

2018 ◽  
Author(s):  
Vladimir Salomatov
Keyword(s):  
Helmholtz Equation ◽  
Quark Mass ◽  
Rest Mass ◽  
Mass Determination ◽  
Quark Masses ◽  
Zero Function ◽  
Current Quark Mass ◽  
Neumann Function ◽  
Polar Model ◽  
Current Quark

Current-quark masses are compared to the rest masses allowed by the Helmholtz equation in a polar model. Within the uncertainty of the current u quark mass determination, the current quark mass coincides with the rest mass allowed by the Helmholtz equation in the polar model in accordance with the second root of the zero Neumann function. Current d quark mass coincides with the rest mass calculated in accordance with the third root of the Bessel zero function. On the basis of a comparison of these results with the results obtained earlier for ordinary real particles u and d quarks stability is discussed.

scholarly journals Current quark-mass dependence of nucleon magnetic moments and radii

2008 ◽  
Vol 42 (1-4) ◽  
pp. 91-113 ◽  
Author(s):  
I. C. Cloët ◽  
G. Eichmann ◽  
V. V. Flambaum ◽  
C. D. Roberts ◽  
M. S. Bhagwat ◽  
...  
Keyword(s):  
Quark Mass ◽  
Magnetic Moments ◽  
Mass Dependence ◽  
Current Quark Mass ◽  
Quark Mass Dependence ◽  
Current Quark

Current-quark mass ratios fromη→3π

1984 ◽  
Vol 30 (3) ◽  
pp. 674-676 ◽  
Author(s):  
Ll. Ametller ◽  
C. Ayala ◽  
A. Bramon
Keyword(s):  
Quark Mass ◽  
Current Quark Mass ◽  
Mass Ratios ◽  
Current Quark
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