scholarly journals Chiral magnetic effect and three-point function from AdS/CFT correspondence

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Lei Yin ◽  
Defu Hou ◽  
Hai-cang Ren
Keyword(s):  
Chemical Potential ◽  
Heavy Ion ◽  
Magnetic Effect ◽  
Relativistic Heavy Ion Collisions ◽  
Gauge Potential ◽  
Theoretic Approach ◽  
Point Function ◽  
Magnetic Current ◽  
Yang Mills ◽  
Chiral Magnetic Effect

Abstract The chiral magnetic effect with a fluctuating chiral imbalance is more realistic in the evolution of quark-gluon plasma, which reflects the random gluonic topological transition. Incorporating this dynamics, we calculate the chiral magnetic current in response to space-time dependent axial gauge potential and magnetic field in AdS/CFT correspondence. In contrast to conventional treatment of constant axial chemical potential, the response function here is the AVV three-point function of the $$ \mathcal{N} $$ N = 4 super Yang-Mills at strong coupling. Through an iterative solution of the nonlinear equations of motion in Schwarzschild-AdS5 background, we are able to express the AVV function in terms of two Heun functions and prove its UV/IR finiteness, as expected for $$ \mathcal{N} $$ N = 4 super Yang-Mills theory. We found that the dependence of the chiral magnetic current on a non-constant chiral imbalance is non-local, different from hydrodynamic approximation, and demonstrates the subtlety of the infrared limit discovered in field theoretic approach. We expect our results enrich the understanding of the phenomenology of the chiral magnetic effect in the context of relativistic heavy ion collisions.

scholarly journals Search for the chiral magnetic effect in relativistic heavy-ion collisions

2018 ◽  
Vol 33 (13) ◽  
pp. 1830010 ◽  
Author(s):  
Jie Zhao
Keyword(s):  
Topological Charge ◽  
Heavy Ion Collisions ◽  
Heavy Ion ◽  
Magnetic Effect ◽  
Relativistic Heavy Ion Collisions ◽  
Ion Collisions ◽  
Chiral Magnetic Effect ◽  
Emergent Phenomena ◽  
New Ideas ◽  
Induced Charge

Relativistic heavy-ion collisions provide an ideal environment to study the emergent phenomena in quantum chromodynamics (QCD). The chiral magnetic effect (CME) is one of the most interesting, arising from the topological charge fluctuations of QCD vacua, immersed in a strong magnetic field. Since the first measurement nearly a decade ago of the possibly CME-induced charge correlation, extensive studies have been devoted to background contributions to those measurements. Many new ideas and techniques have been developed to reduce or eliminate the backgrounds. This paper reviews these developments and the overall progress in the search for the CME.

HEAVY ION COLLISIONS AND BLACK HOLE DYNAMICS

2008 ◽  
Vol 17 (03n04) ◽  
pp. 673-678 ◽  
Author(s):  
STEVEN S. GUBSER
Keyword(s):  
Black Hole ◽  
Gauge Theory ◽  
Heavy Ion Collisions ◽  
Equations Of Motion ◽  
Heavy Ion ◽  
Gluon Plasma ◽  
Relativistic Heavy Ion Collisions ◽  
Thermalization Time ◽  
Yang Mills ◽  
Ion Collisions

Relativistic heavy ion collisions create a strongly coupled quark–gluon plasma. Some of the plasma's properties can be approximately understood in terms of a dual black hole. These properties include shear viscosity, thermalization time, and drag force on heavy quarks. They are hard to calculate from first principles in QCD. Extracting predictions about quark–gluon plasmas from dual black holes mostly involves solving Einstein's equations and classical string equations of motion. AdS/CFT provides a translation from gravitational calculations to gauge theory predictions. The gauge theory to which the predictions apply is [Formula: see text] super-Yang–Mills theory. QCD is different in many respects from super-Yang–Mills, but it seems that its high temperature properties are similar enough for us to make some meaningful comparisons.

scholarly journals Effects of Superstatistics on the Location of the Effective QCD Critical End Point

2019 ◽  
Vol 64 (8) ◽  
pp. 665
Author(s):  
A. Ayala ◽  
M. Hentschinski ◽  
L. A. Hernández ◽  
M. Loewe ◽  
R. Zamora
Keyword(s):  
Phase Diagram ◽  
Chemical Potential ◽  
Heavy Ion ◽  
Relativistic Heavy Ion Collisions ◽  
Chiral Symmetry Restoration ◽  
Interaction Volume ◽  
Qcd Phase Diagram ◽  
End Point ◽  
Ion Collisions ◽  
Effective Description

Effects of the partial thermalization during the chiral symmetry restoration at the finite temperature and quark chemical potential are considered for the position of the critical end point in an effective description of the QCD phase diagram. We find that these effects cause the critical end point to be displaced toward larger values of the temperature and lower values of the quark chemical potential, as compared to the case where the system can be regarded as completely thermalized. These effects may be important for relativistic heavy ion collisions, where the number of subsystems making up the whole interaction volume can be linked to the finite number of participants in the reaction.

scholarly journals Flow and vorticity with varying chemical potential in relativistic heavy ion collisions

2020 ◽  
Vol 29 (01) ◽  
pp. 2050001
Author(s):  
Abhisek Saha ◽  
Soma Sanyal
Keyword(s):  
Shear Viscosity ◽  
Heavy Ion Collisions ◽  
Collision Energy ◽  
Chemical Potential ◽  
Transport Model ◽  
Heavy Ion ◽  
Relativistic Heavy Ion Collisions ◽  
Viscous Effects ◽  
Ion Collisions ◽  
Lower Collision

We study the vorticity patterns in relativistic heavy ion collisions with respect to the collision energy. The collision energy is related to the chemical potential used in the thermal — statistical models that assume approximate chemical equilibrium after the relativistic collision. We use the multiphase transport model (AMPT) to study the vorticity in the initial parton phase as well as the final hadronic phase of the relativistic heavy ion collision. We find that as the chemical potential increases, the vortices are larger in size. Using different definitions of vorticity, we find that vorticity plays a greater role at lower collision energies than at higher collision energies. We also look at other effects of the flow patterns related to the shear viscosity at different collision energies. We find that the shear viscosity obtained is almost a constant with a small decrease at higher collision energies. We also look at the elliptic flow as it is related to viscous effects in the final stages after the collision. Our results indicate that the viscosity plays a greater role at higher chemical potential and lower collision energies.

scholarly journals SKYRMION FORMATION IN 1+1 DIMENSIONS WITH CHEMICAL POTENTIAL

2006 ◽  
Vol 21 (06) ◽  
pp. 1199-1219 ◽  
Author(s):  
V. SUNIL KUMAR ◽  
BISWANATH LAYEK ◽  
AJIT M. SRIVASTAVA ◽  
SOMA SANYAL ◽  
VIVEK K. TIWARI
Keyword(s):  
Chemical Potential ◽  
Defect Density ◽  
Basic Mechanism ◽  
Heavy Ion ◽  
Tube Formation ◽  
Relativistic Heavy Ion Collisions ◽  
Potential Term ◽  
Ion Collisions ◽  
Spatially Varying ◽  
Superfluid Vortices

Formation of topological objects during phase transitions has been discussed extensively in literature. In all these discussions, defects and antidefects form with equal probabilities. In contrast, many physical situations, such as formation of baryons in relativistic heavy-ion collisions at present energies, flux tube formation in superconductors in the presence of external magnetic field, and formation of superfluid vortices in a rotating vessel, require a mechanism which can bias (say) defects over antidefects. Such a bias can crucially affect defect–antidefect correlations, apart from its effects on defect density. In this paper we initiate an investigation for the basic mechanism of biased formation of defects. For Skyrmions in 1+1 dimensions, we show that incorporation of a chemical potential term in the effective potential leads to a domain structure where order parameter is spatially varying. We show that this leads to biased formation of Skyrmions.

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