NOTES ON ANOMALY INDUCED TRANSPORT

被引:209
作者
Landsteiner, Karl [1 ]
机构
[1] Univ Autonoma Madrid, CSIC, Inst Fis Teor, C Nicolas Cabrera 13-15, E-28049 Madrid, Spain
来源
ACTA PHYSICA POLONICA B | 2016年 / 47卷 / 12期
关键词
QUANTUM-FIELD-THEORY; NEGATIVE MAGNETORESISTANCE; COLLISIONS; GRAPHENE; FERMIONS; FINITE; GAUGE; FLOW;
D O I
10.5506/APhysPolB.47.2617
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Chiral anomalies give rise to dissipationless transport phenomena such as the chiral magnetic and vortical effects. In these notes, I review the theory from a quantum field theoretic, hydrodynamic and holographic perspective. A physical interpretation of the otherwise somewhat obscure concepts of consistent and covariant anomalies will be given. Vanishing of the CME in strict equilibrium will be connected to the boundary conditions in momentum space imposed by the regularization. The role of the gravitational anomaly will be explained. That it contributes to transport in an unexpectedly low order in the derivative expansion can be the most easily understood via holography. Anomalous transport is supposed to play also a key role in understanding the electronics of advanced materials, the Dirac and Weyl (semi-) metals. Anomaly related phenomena such as negative magnetoresistivity, anomalous Hall effect, thermal anomalous Hall effect and Fermi arcs can be understood via anomalous transport. Finally, I briefly review a holographic model of Weyl semi-metal which allows to infer a new phenomenon related to the gravitational anomaly: the presence of odd viscosity.
引用
收藏
页码:2617 / 2673
页数:57
相关论文
共 122 条
[1]   Charge-dependent flow and the search for the chiral magnetic wave in Pb-Pb collisions at √SNN=2.76 TeV [J].
Adam, J. ;
Adamova, D. ;
Aggarwal, M. M. ;
Rinella, G. Aglieri ;
Agnello, M. ;
Agrawal, N. ;
Ahammed, Z. ;
Ahn, S. U. ;
Aiola, S. ;
Akindinov, A. ;
Alam, S. N. ;
Aleksandrov, D. ;
Alessandro, B. ;
Alexandre, D. ;
Alfaro Molina, R. ;
Alici, A. ;
Alkin, A. ;
Almaraz, J. R. M. ;
Alme, J. ;
Alt, T. ;
Altinpinar, S. ;
Altsybeev, I. ;
Prado, C. Alves Garcia ;
Andrei, C. ;
Andronic, A. ;
Anguelov, V. ;
Anielski, J. ;
Anticic, T. ;
Antinori, F. ;
Antonioli, P. ;
Aphecetche, L. ;
Appelshaeuser, H. ;
Arcelli, S. ;
Arnaldi, R. ;
Arnold, O. W. ;
Arsene, I. C. ;
Arslandok, M. ;
Audurier, B. ;
Augustinus, A. ;
Averbeck, R. ;
Azmi, M. D. ;
Badala, A. ;
Baek, Y. W. ;
Bagnasco, S. ;
Bailhache, R. ;
Bala, R. ;
Balasubramanian, S. ;
Baldisseri, A. ;
Baral, R. C. ;
Barbano, A. M. .
PHYSICAL REVIEW C, 2016, 93 (04)
[2]   Observation of Charge Asymmetry Dependence of Pion Elliptic Flow and the Possible Chiral Magnetic Wave in Heavy-Ion Collisions [J].
Adamczyk, L. ;
Adkins, J. K. ;
Agakishiev, G. ;
Aggarwal, M. M. ;
Ahammed, Z. ;
Alekseev, I. ;
Alford, J. ;
Aparin, A. ;
Arkhipkin, D. ;
Aschenauer, E. C. ;
Averichev, G. S. ;
Banerjee, A. ;
Bellwied, R. ;
Bhasin, A. ;
Bhati, A. K. ;
Bhattarai, P. ;
Bielcik, J. ;
Bielcikova, J. ;
Bland, L. C. ;
Bordyuzhin, I. G. ;
Bouchet, J. ;
Brandin, A. V. ;
Bunzarov, I. ;
Burton, T. P. ;
Butterworth, J. ;
Caines, H. ;
Sanchez, M. Calderon de la Barca ;
Campbell, J. M. ;
Cebra, D. ;
Cervantes, M. C. ;
Chakaberia, I. ;
Chaloupka, P. ;
Chang, Z. ;
Chattopadhyay, S. ;
Chen, J. H. ;
Chen, X. ;
Cheng, J. ;
Cherney, M. ;
Christie, W. ;
Contin, G. ;
Crawford, H. J. ;
Das, S. ;
De Silva, L. C. ;
Debbe, R. R. ;
Dedovich, T. G. ;
Deng, J. ;
Derevschikov, A. A. ;
di Ruzza, B. ;
Didenko, L. ;
Dilks, C. .
PHYSICAL REVIEW LETTERS, 2015, 114 (25)
[3]   AXIAL-VECTOR VERTEX IN SPINOR ELECTRODYNAMICS [J].
ADLER, SL .
PHYSICAL REVIEW, 1969, 177 (5P2) :2426-&
[4]  
Adler SL, 2005, 50 YEARS OF YANG-MILLS THEORY, P187, DOI 10.1142/9789812567147_0009
[5]   Chiral Plasma Instabilities [J].
Akamatsu, Yukinao ;
Yamamoto, Naoki .
PHYSICAL REVIEW LETTERS, 2013, 111 (05)
[6]   GRAVITATIONAL ANOMALIES [J].
ALVAREZGAUME, L ;
WITTEN, E .
NUCLEAR PHYSICS B, 1984, 234 (02) :269-330
[7]   Anomalous transport coefficients from Kubo formulas in Holography [J].
Amado, Irene ;
Landsteiner, Karl ;
Pena-Benitez, Francisco .
JOURNAL OF HIGH ENERGY PHYSICS, 2011, (05)
[8]  
Ammon J., 2015, Gauge/Gravity Duality: Foundations and Applications
[9]  
[Anonymous], 1998, PHYS REV LETT
[10]  
[Anonymous], 2006, Int. Ser. Monogr. Phys