Hong-Shi Zong

Nanjing University, Nan-ching, Jiangsu Sheng, China

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Publications (122)277.09 Total impact

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    Yong-Long Wang, Hong-Shi Zong
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    ABSTRACT: We clearly refine a fundamental framework for the thin-layer quantization scheme. Further, we definitively clarify a performing sequence in the thin-layer quantization process. The limit $q_3\to 0$ ($q_3$ denotes the variable perpendicular to the curved surface) must be performed after calculating all curvilinear coordinate derivatives. In the general form, a canonical action integral, the limit $d\to 0$ ($d$ is the thickness of the curved surface) has to be calculated after performing all curvilinear coordinate integrations. In complete accordance with the sequence, in the presence of an electromagnetic field, for a charged particle constrained on a spatially curved surface the Lorentz gauge and the Schr\"{o}dinger equation cannot be decoupled from the mean curvature of the surface simultaneously, except $A^3=0$ ($A^3$ is a contravariant component along the direction perpendicular to the curved surface of the electromagnetic field vector potential $\vec{A}$) with a certain gauge transformation, and the canonical action integral does not show convenience for the thin-layer quantization scheme. Additionally, we derive the modifications induced by the thickness of the surface to the geometric potential and the kinetic operator.
    02/2015;
  • Yu Jiang, Feng-Yao Hou, Cui-Bai Luo, Hong-Shi Zong
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    ABSTRACT: We calculate the quark number susceptibility (QNS) around the chiral critical end point (CEP). The CEP is found to be located at (μc, Tc) = (80 MeV, 148 MeV) where μc and Tc are the critical chemical potential and temperature, respectively. The QNS is found to have the highest and sharpest peak at the CEP. It is also found that, when the chemical potential μ is in the range of 60 MeV≤ μ ≤ 110 MeV, the QNS near the transition temperature is larger than the free field result, which indicates that the space-like damping mode dominates the degree of freedom of motion near the CEP.
    Chinese Physics Letters 02/2015; 32(2):021201. · 0.92 Impact Factor
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    Wei Wei, Pei-lin Yin, Hong-shi Zong
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    ABSTRACT: The studies of Dyson-Schwinger Equations (DSEs) provide us with insights into nonperturbative phenomenon of quantum field theory. However, DSEs are essentially an infinite set of coupled Green's functions, it's necessary to decouple parts of the equations which are thought of major physical importance to make the solution of these equations possible. Although the results are model-dependent, no qualitative deviations from exact solutions are expected with properly chosen truncation scheme. In this article, a globally convergent numerical method for the solution of the DSEs of QED$_3$ in Euclidean space is presented. This method can be adapted for more complex problems, however, it also shows its limitations when adopted in problems such as the searching for Wigner solutions.
    01/2015;
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    A-Meng Zhao, Zhu-Fang Cui, Yu Jiang, Hong-Shi Zong
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    ABSTRACT: Since the baryon-number susceptibilities are correlated with the cumulant of baryon-number fluctuations in experiments, we do calculations of the susceptibilities and compare them with the experimental fluctuation data under the framework of the Dyson-Schwinger equations (DSEs) approach. We compare our results with lattice QCD and experimental data at RHIC. The fitness of the results indicates that under the framework of DSEs, we can deal with the problems of heavy ion collisions properly.
    Physical Review D 12/2014; 90(11). · 4.86 Impact Factor
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    ABSTRACT: Introducing constant background fields into the noncommutative gauge theory, we first obtain a Hermitian fermion Lagrangian which involves a Lorentz violation term, then we generalize it to a new deformed canonical noncommutation relations for fermion field. Massless neutrino oscillation in the deformed canonical noncommutation relations is analyzed. The restriction of the noncommutative coefficients is also discussed. By comparing with the existing experimental data of conventional neutrino oscillations, the order of noncommutative deformed coefficients is given from different ways.
    12/2014;
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    ABSTRACT: We derive the curvature induced quantum-mechanical potential of a neutral spinless particle constrained to move on a surface of revolution. Using the thin-layer quantization scheme, we decompose the tangent component of the Schr\"odinger equation from the transverse component. The tangent Schr\"odinger equation is separated into angular and axial direction in cylindrical coordinate. The exactly solvable model with the shape of truncated cone is investigated and its geometrical induced states are given analytically. With hard wall boundary condition, we find that energy levels and energy differences decrease monotonically with raising the height and generatrix slope of the geometry. Moreover, particles possessing higher kinetic energy tends to occupy the place with greater curvature. These results do good favor to concerned nano-structure experiment.
    11/2014;
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    ABSTRACT: We derive the Pauli equation for a charged spin particle confined to move on a spatially curved surface $\mathcal{S}$ in an electromagnetic field. Using the thin-layer quantization scheme to constrain the particle on $\mathcal{S}$, and in the transformed spinor representations, we obtain the well-known geometric potential $V_g$ and the presence of $e^{-i\varphi}$, which can generate additive spin connection geometric potentials by the curvilinear coordinate derivatives, and we find that the two fundamental evidences in the literature [Giulio Ferrari and Giampaolo Cuoghi, Phys. Rev. Lett. 100, 230403 (2008).] are still valid in the present system without source current perpendicular to $\mathcal{S}$. Finally, we apply the surface Pauli equation to spherical, cylindrical, and toroidal surfaces, in which we obtain expectantly the geometric potentials and new spin connection geometric potentials, and find that only the normal Pauli matrix appears in these equations.
    Physical Review A 11/2014; 90(4). · 2.99 Impact Factor
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    ABSTRACT: Based on the study of the linear response of the fermion propagator in the presence of an external scalar field, we calculate the staggered spin susceptibility in the low energy limit in the framework of the Dyson-Schwinger approach. We analyze the effect of a finite gauge boson mass on the staggered spin susceptibility in both Nambu phase and Wigner phase. It is found that the gauge boson mass suppresses the staggered spin susceptibility in Wigner phase. In addition, we try to give an explanation for why the antiferromagnetic spin correlation increases when the doping is lowered.
    Physical Review D 10/2014; 90(7). · 4.86 Impact Factor
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    ABSTRACT: At zero temperature and density, the nature of the chiral phase transition in QED3 with NfNf massless fermion flavors is investigated. To this end, in Landau gauge, we numerically solve the coupled Dyson–Schwinger equations for the fermion and boson propagator within the bare and simplified Ball-Chiu vertices separately. It is found that, in the bare vertex approximation, the system undergoes a high-order continuous phase transition from the Nambu–Goldstone phase into the Wigner phase when the number of fermion flavors NfNf reaches the critical number Nf,cNf,c, while the system exhibits a typical characteristic of second-order phase transition for the simplified Ball-Chiu vertex.
    Annals of Physics 09/2014; · 3.07 Impact Factor
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    ABSTRACT: In this paper, the relations of four different susceptibilities (i.e., the chiral susceptibility, the fermion number susceptibility, the thermal susceptibility and the staggered spin susceptibility) are investigated both in and beyond the chiral limit. To this end, we numerically solve the finite temperature version of the truncated Dyson-Schwinger equations for fermion and boson propagator. It is found that, in the chiral limit, the four susceptibilities give the same critical temperature and signal a typical second order phase transition. But the situation changes beyond the chiral limit: the critical temperatures from the chiral and the thermal susceptibilities are different, which shows that to define a critical region instead of an exclusive point for crossover might be a more suitable choice; meanwhile, both the fermion number and the staggered spin susceptibilities have no singular behaviors any more, this may mean that they are no longer available to describe the crossover properties of the system.
    08/2014;
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    ABSTRACT: Based on the feature of chiral susceptibility and thermal susceptibility at finite temperature, the nature of chiral phase transition around the critical number of fermion flavors ($N_c$) and the critical temperature ($T_c$) at a fixed fermion flavors number in massless QED$_3$ are investigated. It is showed that, at finite temperature the system exhibits a second-order phase transition at $N_c$ or $T_c$ and each of the estimated critical exponents is less than 1, while it reveals a higher-order continuous phase transition around $N_c$ at zero temperature.
    Physical Review D 08/2014; 90(6). · 4.86 Impact Factor
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    ABSTRACT: We compute the kaon's valence-quark (twist-two parton) distribution amplitude (PDA) by projecting its Poincare'-covariant Bethe-Salpeter wave-function onto the light-front. At a scale \zeta=2GeV, the PDA is a broad, concave and asymmetric function, whose peak is shifted 12-16% away from its position in QCD's conformal limit. These features are a clear expression of SU(3)-flavour-symmetry breaking. They show that the heavier quark in the kaon carries more of the bound-state's momentum than the lighter quark and also that emergent phenomena in QCD modulate the magnitude of flavour-symmetry breaking: it is markedly smaller than one might expect based on the difference between light-quark current masses. Our results add to a body of evidence which indicates that at any energy scale accessible with existing or foreseeable facilities, a reliable guide to the interpretation of experiment requires the use of such nonperturbatively broadened PDAs in leading-order, leading-twist formulae for hard exclusive processes instead of the asymptotic PDA associated with QCD's conformal limit. We illustrate this via the ratio of kaon and pion electromagnetic form factors: using our nonperturbative PDAs in the appropriate formulae, $F_K/F_\pi=1.23$ at spacelike-$Q^2=17\,{\rm GeV}^2$, which compares satisfactorily with the value of $0.92(5)$ inferred in $e^+ e^-$ annihilation at $s=17\,{\rm GeV}^2$.
    Physics Letters B 06/2014; · 6.02 Impact Factor
  • Bin Wang, Zhu-Fang Cui, Wei-Min Sun, Hong-Shi Zong
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    ABSTRACT: In this paper we study the chiral phase transition of QCD at ?nite temperature and density by using the rank-2 con?ning separable gluon propagator model in the framework of Dyson-Schwinger Equations. The critical end point is located at (T_CEP, {\mu}_CEP) = (69 MeV, 270.3 MeV). It is also found that the first order phase transition might not end at one point, but experiences a two-phase coexisting meta-stable state. A comparison with the results in the previous literature is given.
    Few-Body Systems 04/2014; 55(1). · 1.51 Impact Factor
  • Zhu-Fang Cui, Yi-Lun Du, Hong-Shi Zong
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    ABSTRACT: In this paper, we use the two-flavor Nambu-Jona-Lasinio model together with the proper time regularization that has both ultraviolet and infrared cutoffs to study the chiral phase transition at finite temperature and zero chemical potential. The involved model parameters in our calculation are determined in the traditional way. Our calculations show that the dependence of the results on the choice of the parameters are really small, which can then be regarded as an advantage besides such a regularization scheme is Lorentz invariant.
    International Journal of Modern Physics: Conference Series. 03/2014; 29.
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    ABSTRACT: With a modified chemical potential dependent effective model for the gluon propagator, we try to locate the critical end point (CEP) of strongly interacting matter in the framework of Dyson-Schwinger equations (DSE). Beyond the chiral limit, we find that Nambu solution and Wigner solution could coexist in some area. Using the CornwallJackiw-Tomboulis (CJT) effective action, we show that these two phases are connected by a first order phase transition. We then locate CEP as the end point of the first order phase transition line. Meanwhile, based on CJT effective action, we give a direct calculation for the chiral susceptibility and thereby study the crossover.
    Journal of High Energy Physics 03/2014; 2014(7). · 6.22 Impact Factor
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    ABSTRACT: Based on the truncated Dyson-Schwinger equations for fermion and massive boson propagators in QED$_3$, the fermion chiral condensate and the mass singularities of the fermion propagator via the Schwinger function are investigated. It is shown that the critical point of chiral phase transition is apparently different from that of deconfinement phase transition and in Nambu phase the fermion is confined only for small gauge boson mass.
    European Physical Journal C 02/2014; 74(12). · 5.44 Impact Factor
  • Song Shi, Wei-Min Sun, Hong-Shi Zong
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    ABSTRACT: In this article, we study three types of new Yukawa couplings (the boson field is coupled to the fermion field). Two of them are quadratic Yukawa couplings (the boson field is in the form of a vector), and the other one is the matrix Yukawa coupling (the boson field is in the form of a matrix). Based on the above three couplings, we introduce the Higgs mechanism, and find out the properties of the generated mass for the fermions with multiple flavors. For the matrix boson, we introduce its coupling with non-Abelian gauge field. It turns out that the generated mass of the gauge field through the Higgs mechanism is unique. In the large N limit, using the method of auxiliary field, we study the dynamical behaviors of the quadratic Yukawa couplings, including the poles of some dressed propagators.
    Chinese Science Bulletin 02/2014; 59(5-6):484-491. · 1.37 Impact Factor
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    ABSTRACT: In this paper, the momentum-resolved radio-frequency spectra of a unitary Fermi gas in the normal phase are presented and analyzed on the basis of the framework of the non-self-consistent T-matrix approximation with the extended Gorkov and Melik-Barkhudarov (GMB) approximation. We report the calculated occupied spectral intensity and energy distribution curves for different temperatures above Tc. Our results indicate the existence of pseudogap phenomenon which would be helpful for further understanding of the pseudogap in high-temperature superconductivity.
    Modern Physics Letters B 12/2013; 28(4). · 0.69 Impact Factor
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    ABSTRACT: In this paper, chiral symmetry breaking and its restoration are investigated in the mean field approximation of Nambu--Jona-Lasinio model. A first-order phase transition exists at low temperature, but is smeared out at high temperature. We discuss the rationality of using susceptibilities as the criteria to determine the crossover region as well as the critical point. Based on our results, it is found that to define a critical band instead of an exclusive line in this region might be a more suitable choice.
    Physical Review D 12/2013; · 4.86 Impact Factor
  • 11/2013;

Publication Stats

791 Citations
277.09 Total Impact Points

Institutions

  • 1994–2014
    • Nanjing University
      • Department of Physics
      Nan-ching, Jiangsu Sheng, China
  • 2013
    • National Space Science
      Peping, Beijing, China
  • 2011
    • Chongqing Jiaotong University
      Ch’ung-ch’ing-shih, Chongqing Shi, China
  • 2010
    • Anhui Normal University
      Wu-hu-shih, Anhui Sheng, China
    • Government of the People's Republic of China
      Peping, Beijing, China
  • 2009
    • Jiangsu University
      Chenkiang, Jiangsu Sheng, China
  • 2008
    • Peking University
      • State Key Laboratory of Nuclear Physics and Technology
      Peping, Beijing, China
  • 2006
    • Nanjing Normal University
      • Department of Physics
      Nanjing, Jiangsu Sheng, China
  • 1998–2002
    • Academia Sinica
      T’ai-pei, Taipei, Taiwan
    • China Institute of Atomic Energy
      Peping, Beijing, China