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Title: Chiral electric separation effect in the quark-gluon plasma

In this paper we introduce and compute a new transport coefficient for the quark-gluon plasma (QGP) at very high temperature. This new coefficient σ χe, the CESE (Chiral Electric Separation Effect) conductivity, quantifies the amount of axial current J A that is generated in response to an externally applied electric field eE: J Aχe(eE). Starting with a rather general argument in the kinetic theory framework, we show how a characteristic structure σ χe∝μμ5 emerges, which also indicates the CESE as an anomalous transport effect occurring only in a parity-odd environment with nonzero axial charge density μ5 ≠ 0. Using the Hard-Thermal-Loop framework, the CESE conductivity for the QGP is found to be σ χe = (#)TT rfQ eQ A/g⁴ln(1/g) μμ5/T² to the leading-log accuracy with the numerical constant (#) depending on favor content, e.g., (#)=14.5163 for u, d light flavors.
Authors:
 [1] ;  [2] ;  [3]
  1. Indiana Univ., Bloomington, IN (United States)
  2. Indiana Univ., Bloomington, IN (United States); Brookhaven National Lab., Upton, NY (United States)
  3. Fudan Univ., Shanghai (China)
Publication Date:
Report Number(s):
BNL-107763-2015-JA
Journal ID: ISSN 1550-7998; PRVDAQ; R&D Project: PO-3; TRN: US1600843
Grant/Contract Number:
SC00112704
Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 4; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; riken bnl research center
OSTI Identifier:
1183286