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We study the scale dependence of twist-3 distributions defined with chirality-odd quark-gluon operators. To derive the scale dependence we explicitly calculate these distributions of multi-parton states instead of a hadron. Taking one-loop…

High Energy Physics - Phenomenology · Physics 2015-06-11 J. P. Ma , Q. Wang , G. P. Zhang

The recent suggestion of a vanishing flavor-singlet axial charge of nucleon due to a nontrivial vacuum structure is further amplified. A perturbative QCD discussion, applicable for the heavy quark contributions, relates it to the physics of…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. P. Cheng , N. I. Kochelev , V. Vento

We attempt to describe the interplay of confinement and chiral symmetry breaking in QCD by using the string model. We argue that in the quasi-abelian picture of confinement based on the condensation of magnetic monopoles and the dual…

High Energy Physics - Phenomenology · Physics 2015-06-19 Dmitri E. Kharzeev , Frasher Loshaj

We extend our prior results on the worldline computation of the axial vector-vector-vector (AVV) triangle anomaly in polarized deeply inelastic scattering (DIS) to the finite mass case by computing in addition the pseudoscalar-vector-vector…

High Energy Physics - Phenomenology · Physics 2025-01-23 Andrey Tarasov , Raju Venugopalan

The strange and antistrange quark distributions of the nucleon are less constrained by experimental data than the non-strange quark sea. The combination of light quark sea distributions, $\Delta(x)=\dbar(x)+\ubar(x)-s(x)-\sbar(x)$,…

High Energy Physics - Phenomenology · Physics 2010-08-26 H. Chen , F. -G. Cao , A. I. Signal

We construct perturbation series for the q-th moment of eigenfunctions of various critical random matrix ensembles in the strong multifractality regime close to localization. Contrary to previous investigations, our results are valid in the…

Quantum Physics · Physics 2015-06-03 E. Bogomolny , O. Giraud

We study the momentum and the quark mass dependence of the axial nucleon to Delta(1232) transition form factors in the framework of non-relativistic chiral effective field theory to leading-one-loop order. The outcome of our analysis…

High Energy Physics - Phenomenology · Physics 2009-02-23 Massimiliano Procura

The chiral susceptibility, or the first derivative of the chiral condensate with respect to the quark mass, is often used as a probe for the QCD phase transition since the chiral condensate is an order parameter of $SU(2)_L \times SU(2)_R$…

High Energy Physics - Lattice · Physics 2022-01-06 S. Aoki , Y. Aoki , H. Fukaya , S. Hashimoto , C. Rohrhofer , K. Suzuki

The path integral formulation is given to obtain quark and antiquark distribution functions in the nucleon within the flavor SU(3) version of the chiral quark soliton model. The basic model action is a straightforward generalization of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Wakamatsu

The relation between the chiral quark condensate in QCD sum rules and chiral perturbation theory is clarified with the help of a low-energy theorem for the scalar and pseudoscalar correlation functions. It is found that the quark condensate…

High Energy Physics - Phenomenology · Physics 2015-06-25 Matthias Jamin

Dynamical chiral symmetry breaking and its connection with the generation of hadron masses has historically been viewed as a vacuum phenomenon. We argue that confinement makes such a position untenable. If quark-hadron duality is a reality…

Nuclear Theory · Physics 2014-08-27 Stanley J. Brodsky , Craig D. Roberts , Robert Shrock , Peter C. Tandy

The transverse component of the axial-vector correlation function of quark fields is a natural starting object for lattice calculations of twist-3 nucleon parton distribution functions. In this work we derive the corresponding factorization…

High Energy Physics - Phenomenology · Physics 2021-08-09 Vladimir M. Braun , Yao Ji , Alexey Vladimirov

We compute the helicity-dependent strange quark distribution in the proton in the framework of chiral effective theory. Starting from the most general chiral SU(3) Lagrangian that respects Lorentz and gauge invariance, we derive the…

High Energy Physics - Phenomenology · Physics 2021-01-01 X. G. Wang , Chueng-Ryong Ji , W. Melnitchouk , Y. Salamu , A. W. Thomas , P. Wang

The helicity-dependent strange quark distribution in the proton, $\Delta s$, is calculated in a nonlocal chiral SU(3) effective field theory. The hadronic proton to meson plus octet or decuplet baryon splitting functions are derived at the…

High Energy Physics - Phenomenology · Physics 2022-05-25 Fangcheng He , Chueng-Ryong Ji , W. Melnitchouk , Y. Salamu , A. W. Thomas , P. Wang , X. G. Wang

We present a simple derivation of the one-loop trace anomaly in spinor QED through dispersion relations, avoiding completely any ultraviolet regularization. The anomaly can be expressed as a convergent sum rule for the imaginary part of a…

High Energy Physics - Phenomenology · Physics 2008-02-03 J. Horejsi , M. Schnabl

The first two non-trivial moments of the distribution of the topological charge (or gluonic winding number), i.e., the topological susceptibility and the fourth cumulant, can be computed in lattice QCD simulations and exploited to constrain…

High Energy Physics - Lattice · Physics 2015-06-11 V. Bernard , S. Descotes-Genon , G. Toucas

The delta-regime of QCD is characterised by light quarks in a small spatial box, but a large extent in (Euclidean) time. In this setting a specific variant of chiral perturbation theory - the delta-expansion - applies, based on a quantum…

High Energy Physics - Lattice · Physics 2015-05-27 W. Bietenholz , N. Cundy , M. Gockeler , R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , G. Schierholz , J. M. Zanotti

This paper studies distributional chaos in non-autonomous discrete systems generated by given sequences of maps in metric spaces. In the case that the metric space is compact, it is shown that a system is Li-Yorke{\delta}-chaotic if and…

Dynamical Systems · Mathematics 2018-03-14 Hua Shao , Yuming Shi , Hao Zhu

We introduce the quark virtuality distribution [$\lambda^{2}_{q}(x)$] as an extenson of the quark virtuality by using nonlocal rather than local quark vacuum condensates. Our results show that the quark virtuality distribution decreases…

High Energy Physics - Phenomenology · Physics 2012-06-11 Zhou Li-juan , Ma Wei-xing , Leonard S. Kisslinger

The singularity of quantum correlations, such as quantum entanglement(QE) and quantum discord(QD), has been widely regarded as a valuable indicator for quantum phase transition(QPT) in low-dimensional quantum systems. In this paper, for a…

Quantum Physics · Physics 2013-07-25 H. L. Huang , Z. Y. Sun , B. Wang