scholarly journals Numerical Study of Nonperturbative Corrections to the Chiral Separation Effect in Quenched Finite-Density QCD

2017 ◽  
Vol 118 (19) ◽  
Author(s):  
Matthias Puhr ◽  
P. V. Buividovich
Keyword(s):  
Chiral Separation ◽  
Numerical Study ◽  
Finite Density ◽  
Separation Effect

scholarly journals The Chiral Separation Effect in quenched finite-density QCD

2018 ◽  
Vol 175 ◽  
pp. 04003
Author(s):  
Matthias Puhr ◽  
Pavel Buividovich
Keyword(s):  
Numerical Method ◽  
Chiral Separation ◽  
Axial Current ◽  
Anomalous Transport ◽  
Finite Density ◽  
Separation Effect ◽  
Statistical Errors ◽  
First Time ◽  
Perturbative Corrections

We present results of a study of the Chiral Separation Effect (CSE) in quenched finite-density QCD. Using a recently developed numerical method we calculate the conserved axial current for exactly chiral overlap fermions at finite density for the first time. We compute the anomalous transport coeffcient for the CSE in the confining and deconfining phase and investigate possible deviations from the universal value. In both phases we find that non-perturbative corrections to the CSE are absent and we reproduce the universal value for the transport coeffcient within small statistical errors. Our results suggest that the CSE can be used to determine the renormalisation factor of the axial current.

scholarly journals On the chiral separation effect in a slab

2016 ◽  
Vol 114 (6) ◽  
pp. 61001 ◽  
Author(s):  
Yurii A. Sitenko
Keyword(s):  
Chiral Separation ◽  
Separation Effect

scholarly journals Chiral separation effect in nonhomogeneous systems

2020 ◽  
Vol 102 (7) ◽  
Author(s):  
M. Suleymanov ◽  
M. A. Zubkov
Keyword(s):  
Chiral Separation ◽  
Separation Effect

scholarly journals Chiral separation effect catalyzed by heavy impurities

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Daiki Suenaga ◽  
Yasufumi Araki ◽  
Kei Suzuki ◽  
Shigehiro Yasui
Keyword(s):  
Chiral Separation ◽  
Separation Effect

scholarly journals Chiral separation effect for spin 3/2 fermions

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Z. V. Khaidukov ◽  
R. A. Abramchuk
Keyword(s):  
Chiral Separation ◽  
Index Theorem ◽  
Chern Number ◽  
Dirac Fermions ◽  
Separation Effect ◽  
Spectral Asymmetry ◽  
Topological Semimetals ◽  
Band Crossing ◽  
Fermi Point ◽  
Weyl Fermions

Abstract Chiral Separation Effect (CSE) for systems that feature spin 3/2 fermions was considered. For the self-consistent Adler’s model with relativistic massless Rarita-Schwinger fermions (RSA model), we found that the CSE conductivity is five times larger than for massless Dirac fermions. For a model of four-fold band crossing in Rarita-Schwinger-Weyl semimetals, in which massless fermions with quasispin 3/2 exist, we calculated that the CSE conductivity is four times larger than for Weyl fermions. We show that CSE conductivity for any multi-degenerate Fermi point in topological semimetals is proportional to its Chern number and is topologically protected. Along the calculations, we proved an index theorem that relates Chern number of a Fermi-point and spectral asymmetry of the corresponding Landau band structure. The assumption that CSE for any system of chiral fermions is dictated by the corresponding Chern number is found to be correct for RSA model (and for the Dirac fermions).

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