Hai-Cang Ren
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Hai-Cang Ren has a total of 18 co-authors. Here are the top co-authors by number of shared publications:
- Defu Hou
Central China Normal University
10 shared publications - Defu Hou
Key Laboratory of Quark and Lepton Physics (MOE) Central China Normal University 430079 Wuhan China
10 shared publications - Lei Yin
Institute of Quantum Matter Guangdong Provincial Key Laboratory of Nuclear Science South China Normal University 510006 Guangzhou China
6 shared publications Defu Hou
5 shared publications- Lei Yin
Institute of Particle Physics Huazhong Normal University 430079 Wuhan China
4 shared publications - Ting-Kuo Lee
Institute of Physics, Academia Sinica, Taipei, Taiwan
4 shared publications
Latest Publications
- Open Access
Chiral magnetic response to arbitrary axial imbalance
The response of chiral fermions to time and space dependent axial imbalance & constant magnetic field is analyzed. The axialvector-vector-vector (AVV) three-point function is studied using a real-time approach at finite temperature in the weak external field approximation. The chiral magnetic conductivity is given analytically for noninteracting fermions. It is pointed out that local charge conservation plays an important role when the axial imbalance is inhomogeneous. Proper regularization is needed which makes the constant axial imbalance limit delicate: for static but spatially oscillating chiral charge the current of the chiral magnetic effect (CME) vanishes. In the homogeneous (but possible time-dependent) limit of the axial imbalance the CME current is determined solely by the chiral anomaly. As a phenomenological consequence, the observability of the charge asymmetry caused by the CME turns out to be a matter of interplay between various scales of the system. Possible plasma instabilities resulting from the gradient corrections to the CME current are also pointed out.
Open AccessChiral magnetic response to arbitrary axial imbalance
The response of chiral fermions to time and space dependent axial imbalance & constant magnetic field is analyzed. The axialvector-vector-vector (AVV) three-point function is studied using a real-time approach at finite temperature in the weak external field approximation. The chiral magnetic conductivity is given analytically for noninteracting fermions. It is pointed out that local charge conservation plays an important role when the axial imbalance is inhomogeneous. Proper regularization is needed which makes the constant axial imbalance limit delicate: for static but spatially oscillating chiral charge the current of the chiral magnetic effect (CME) vanishes. In the homogeneous (but possible time-dependent) limit of the axial imbalance the CME current is determined solely by the chiral anomaly. As a phenomenological consequence, the observability of the charge asymmetry caused by the CME turns out to be a matter of interplay between various scales of the system. Possible plasma instabilities resulting from the gradient corrections to the CME current are also pointed out.
- Open Access
- 30 April 2020
- Published by American Physical Society (APS) in Physical Review D
- Vol. 101 (7) , 076026
Chiral magnetic response to arbitrary axial imbalance
The response of chiral fermions to time and space dependent axial imbalance and constant magnetic field is analyzed. The axial-vector–vector–vector (AVV) three-point function is studied using a real-time approach at finite temperature in the weak external field approximation. The chiral magnetic conductivity is given analytically for noninteracting fermions. It is pointed out that local charge conservation plays an important role when the axial imbalance is inhomogeneous. Proper regularization is needed which makes the constant axial imbalance limit delicate: for static but spatially oscillating chiral charge the chiral magnetic effect (CME) current vanishes. In the homogeneous (but possible time-dependent) limit of the axial imbalance the CME current is determined solely by the chiral anomaly. As a phenomenological consequence, the observability of the charge asymmetry caused by the CME turns out to be a matter of interplay between various scales of the system. Possible plasma instabilities resulting from the gradient corrections to the CME current are also pointed out.
- 30 April 2020
- Published by American Physical Society (APS) in Physical Review D
- Vol. 101 (7) , 076026
Open AccessChiral magnetic response to arbitrary axial imbalance
The response of chiral fermions to time and space dependent axial imbalance and constant magnetic field is analyzed. The axial-vector–vector–vector (AVV) three-point function is studied using a real-time approach at finite temperature in the weak external field approximation. The chiral magnetic conductivity is given analytically for noninteracting fermions. It is pointed out that local charge conservation plays an important role when the axial imbalance is inhomogeneous. Proper regularization is needed which makes the constant axial imbalance limit delicate: for static but spatially oscillating chiral charge the chiral magnetic effect (CME) current vanishes. In the homogeneous (but possible time-dependent) limit of the axial imbalance the CME current is determined solely by the chiral anomaly. As a phenomenological consequence, the observability of the charge asymmetry caused by the CME turns out to be a matter of interplay between various scales of the system. Possible plasma instabilities resulting from the gradient corrections to the CME current are also pointed out.
- Open Access
Holographic Magnetic Susceptibility
The (2+1)-dimensional static magnetic susceptibility in strong-coupling is studied via a Reissner-Nordstr\"{o}m-AdS geometry. The analyticity of the susceptibility on the complex momentum $\mathfrak{q}$-plane in relation to the Friedel-like oscillation in coordinate space is explored. In contrast to the branch-cuts crossing the real momentum-axis for a Fermi liquid, we prove that the holographic magnetic susceptibility remains an analytic function of the complex momentum around the real axis in the limit of zero temperature, At zero temperature, we located analytically two pairs of branch-cuts that are parallel to the imaginary momentum-axis for large $|\text{Im}\ \mathfrak{q}|$ but become warped with the end-points keeping away from the real and imaginary momentum-axes. We conclude that these branch-cuts give rise to the exponential decay behaviour of Friedel-like oscillation of magnetic susceptibility in coordinate space. We also derived the analytical forms of the susceptibility in large and small-momentum, respectively.Open AccessHolographic Magnetic Susceptibility
The (2+1)-dimensional static magnetic susceptibility in strong-coupling is studied via a Reissner-Nordstr\"{o}m-AdS geometry. The analyticity of the susceptibility on the complex momentum $\mathfrak{q}$-plane in relation to the Friedel-like oscillation in coordinate space is explored. In contrast to the branch-cuts crossing the real momentum-axis for a Fermi liquid, we prove that the holographic magnetic susceptibility remains an analytic function of the complex momentum around the real axis in the limit of zero temperature, At zero temperature, we located analytically two pairs of branch-cuts that are parallel to the imaginary momentum-axis for large $|\text{Im}\ \mathfrak{q}|$ but become warped with the end-points keeping away from the real and imaginary momentum-axes. We conclude that these branch-cuts give rise to the exponential decay behaviour of Friedel-like oscillation of magnetic susceptibility in coordinate space. We also derived the analytical forms of the susceptibility in large and small-momentum, respectively. - Open Access
- 8 January 2019
- Published by American Physical Society (APS) in Physical Review D
- Vol. 99 (2) , 026006
Holographic magnetic susceptibility
The ()-dimensional static magnetic susceptibility in strong-coupling is studied via a Reissner-Nordström-AdS geometry. The analyticity of the susceptibility on the complex momentum -plane in relation to the Friedel-like oscillation in coordinate space is explored. In contrast to the branch-cuts crossing the real momentum-axis for a Fermi liquid, we prove that the holographic magnetic susceptibility remains an analytic function of the complex momentum around the real axis in the limit of zero temperature. At zero temperature, we located analytically two pairs of branch-cuts that are parallel to the imaginary momentum-axis for large but become warped with the endpoints keeping away from the real and imaginary momentum-axes. We conclude that these branch-cuts give rise to the exponential decay behaviour of Friedel-like oscillation of magnetic susceptibility in coordinate space. We also derived the analytical forms of the susceptibility in large and small-momentum, respectively.- 8 January 2019
- Published by American Physical Society (APS) in Physical Review D
- Vol. 99 (2) , 026006
Open AccessHolographic magnetic susceptibility
The ()-dimensional static magnetic susceptibility in strong-coupling is studied via a Reissner-Nordström-AdS geometry. The analyticity of the susceptibility on the complex momentum -plane in relation to the Friedel-like oscillation in coordinate space is explored. In contrast to the branch-cuts crossing the real momentum-axis for a Fermi liquid, we prove that the holographic magnetic susceptibility remains an analytic function of the complex momentum around the real axis in the limit of zero temperature. At zero temperature, we located analytically two pairs of branch-cuts that are parallel to the imaginary momentum-axis for large but become warped with the endpoints keeping away from the real and imaginary momentum-axes. We conclude that these branch-cuts give rise to the exponential decay behaviour of Friedel-like oscillation of magnetic susceptibility in coordinate space. We also derived the analytical forms of the susceptibility in large and small-momentum, respectively. - Open Access
Momentum analyticity of the holographic electric polarizability in 2+1 dimensions
The static electric polarization of a holographic field theory dual to the Einstein-Maxwell theory in the background of $AdS_4$ with a Reissner-Nordst\"{o}m (AdS-RN) black hole is investigated. We prove that the holographic polarization is a meromorphic functions in complex momentum plane and locate analytically the asymptotic distribution of the poles along two straight lines parallel to the imaginary axis for a large momentum magnitude. The results are compared with the numerical result on Friedel-like poles of the same holographic model reported in the literature and with the momentum singularities of the one-loop polarization in weak-coupling spinor QED$_3$ and scalar QED$_3$ with the similarities and differences discussed.Open AccessMomentum analyticity of the holographic electric polarizability in 2+1 dimensions
The static electric polarization of a holographic field theory dual to the Einstein-Maxwell theory in the background of $AdS_4$ with a Reissner-Nordst\"{o}m (AdS-RN) black hole is investigated. We prove that the holographic polarization is a meromorphic functions in complex momentum plane and locate analytically the asymptotic distribution of the poles along two straight lines parallel to the imaginary axis for a large momentum magnitude. The results are compared with the numerical result on Friedel-like poles of the same holographic model reported in the literature and with the momentum singularities of the one-loop polarization in weak-coupling spinor QED$_3$ and scalar QED$_3$ with the similarities and differences discussed. - Open Access
- 21 April 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (4) , 126
Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions
- 21 April 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (4) , 126
Open AccessMomentum analyticity of the holographic electric polarizability in 2 + 1 dimensions
- Open Access
Momentum Analyticity of Transverse Polarization Tensor in the Normal Phase of a Holographic Superconductor
We explore the momentum analyticity of the static transverse polarization tensor of a 2+1 dimensional holographic superconductor in its normal phase with a nonzero chemical potential, aiming at finding the holographic counterpart of the singularities underlying the Friedel-like oscillations of an ordinary field theory. We prove that the polarization tensor is a meromorphic function with an infinite number of poles located on the complex momentum plane off real axis. With the aid of the WKB approximation these poles are found to lies asymptotically along two straight lines parallel to the imaginary axis for a large momentum magnitude. The similarity between the holographic Green's function and that of an weakly coupled ordinary field theory (e.g., 2+1 dimensional QED) regarding the location of the momentum singularities offers further support to the validity of the gauge/gravity duality.
Open AccessMomentum Analyticity of Transverse Polarization Tensor in the Normal Phase of a Holographic Superconductor
We explore the momentum analyticity of the static transverse polarization tensor of a 2+1 dimensional holographic superconductor in its normal phase with a nonzero chemical potential, aiming at finding the holographic counterpart of the singularities underlying the Friedel-like oscillations of an ordinary field theory. We prove that the polarization tensor is a meromorphic function with an infinite number of poles located on the complex momentum plane off real axis. With the aid of the WKB approximation these poles are found to lies asymptotically along two straight lines parallel to the imaginary axis for a large momentum magnitude. The similarity between the holographic Green's function and that of an weakly coupled ordinary field theory (e.g., 2+1 dimensional QED) regarding the location of the momentum singularities offers further support to the validity of the gauge/gravity duality.
- Open Access
- 19 August 2016
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2016 (8) , 116
Momentum analyticity of transverse polarization tensor in the normal phase of a holographic superconductor
- 19 August 2016
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2016 (8) , 116
Open AccessMomentum analyticity of transverse polarization tensor in the normal phase of a holographic superconductor
- Open Access
- 16 November 2015
- Published by Sissa Medialab Srl
- Vol. 217, 039
Some issues on Chiral Magnetic and Vortice Effects
- 16 November 2015
- Published by Sissa Medialab Srl
- Vol. 217, 039
Open AccessSome issues on Chiral Magnetic and Vortice Effects
- 8 January 2015
- Published by American Physical Society (APS) in Physical Review D
- Vol. 91 (2) , 026003
Ginzburg-Landau theory of a holographic superconductor
The general Ginzburg-Landau (GL) formulation of a holographic superconductor is developed near the transition temperature in the probe limit for two kinds of conformal dimension. elow the transition temperature, , the order parameter scales with as expected. The analytical expressions of GL free energy in the grand canonical ensemble and the canonical ensemble are derived and the gradient term is studied. Furthermore this scaling coefficient of the order parameter takes different values in the grand canonical ensemble and the canonical ensemble, suggesting the strong coupling nature of the boundary field theory of the superconductivity.- 8 January 2015
- Published by American Physical Society (APS) in Physical Review D
- Vol. 91 (2) , 026003
Ginzburg-Landau theory of a holographic superconductor
The general Ginzburg-Landau (GL) formulation of a holographic superconductor is developed near the transition temperature in the probe limit for two kinds of conformal dimension. elow the transition temperature, , the order parameter scales with as expected. The analytical expressions of GL free energy in the grand canonical ensemble and the canonical ensemble are derived and the gradient term is studied. Furthermore this scaling coefficient of the order parameter takes different values in the grand canonical ensemble and the canonical ensemble, suggesting the strong coupling nature of the boundary field theory of the superconductivity.