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Title: Tensor supercurrent in QCD

Abstract

An external Abelian magnetic field excites in the QCD vacuum a tensor super current that represents the tensor polarization of the chiral condensate. This tensor supercurrent can be deduced from the chiral lagrangian in the presence of anoma lies; a similar tensor supercurrent emerges in rotating systems at finite chemical potential. We discuss the microscopic origin of this supercurrent and argue that it screens the instanton-anti-instanton $$I\overline I$$ molecules in the QCD vacuum, similarly to the vector supercurrent screening Abrikosov vortices in a superconductor. A number of possible experimental manifestations of the tensor supercurrent are discussed: i) spin alignment of axial-vector and vector mesons in heavy ion collisions; ii) tensor charge of the nucleon; iii) transversity of quark distributions in polarized nucleons.

Authors:
; ORCiD logo
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); Basis Foundation; Russian Foundation for Basic Research (RFBR)
OSTI Identifier:
1631499
Alternate Identifier(s):
OSTI ID: 1638821
Report Number(s):
BNL-216148-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 114002
Grant/Contract Number:  
FG-88ER40388; AC02-98CH10886; SC0012704; 19-02-00214
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Gorsky, Alexander S., and Kharzeev, Dmitri E. Tensor supercurrent in QCD. United States: N. p., 2020. Web. https://doi.org/10.1103/PhysRevD.101.114002.
Gorsky, Alexander S., & Kharzeev, Dmitri E. Tensor supercurrent in QCD. United States. https://doi.org/10.1103/PhysRevD.101.114002
Gorsky, Alexander S., and Kharzeev, Dmitri E. Tue . "Tensor supercurrent in QCD". United States. https://doi.org/10.1103/PhysRevD.101.114002.
@article{osti_1631499,
title = {Tensor supercurrent in QCD},
author = {Gorsky, Alexander S. and Kharzeev, Dmitri E.},
abstractNote = {An external Abelian magnetic field excites in the QCD vacuum a tensor super current that represents the tensor polarization of the chiral condensate. This tensor supercurrent can be deduced from the chiral lagrangian in the presence of anoma lies; a similar tensor supercurrent emerges in rotating systems at finite chemical potential. We discuss the microscopic origin of this supercurrent and argue that it screens the instanton-anti-instanton $I\overline I$ molecules in the QCD vacuum, similarly to the vector supercurrent screening Abrikosov vortices in a superconductor. A number of possible experimental manifestations of the tensor supercurrent are discussed: i) spin alignment of axial-vector and vector mesons in heavy ion collisions; ii) tensor charge of the nucleon; iii) transversity of quark distributions in polarized nucleons.},
doi = {10.1103/PhysRevD.101.114002},
journal = {Physical Review D},
number = 11,
volume = 101,
place = {United States},
year = {2020},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.101.114002

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Works referenced in this record:

Chiral symmetry breaking in confining theories
journal, June 1980


Goldstone modes and photonization for higher form symmetries
journal, January 2019


Anomaly-induced quadrupole moment of the neutron in magnetic field
journal, August 2011


Perturbative and nonperturbative renormalization of anomalous quark triangles
journal, September 2003


Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
journal, April 2015


Localized eigenmodes of covariant Laplacians in the Yang-Mills vacuum
journal, June 2005


Room-temperature superfluidity in graphene bilayers
journal, September 2008


Magnetic susceptibility of the quark condensate via holography
journal, April 2009


Partial restoration of chiral symmetry in a confining string
journal, August 2014


Strong C P breaking and quark-antiquark repulsion in QCD, at finite θ
journal, May 2005


Strings from lattice Yang-Mills theory
conference, January 2005

  • Zakharov, V. I.
  • QUARK CONFINEMENT AND THE HADRON SPECTRUM VI: 6th Conference on Quark Confinement and the Hadron Spectrum - QCHS 2004, AIP Conference Proceedings
  • DOI: 10.1063/1.1920945

Generalized global symmetries and dissipative magnetohydrodynamics
journal, May 2017


Quark confinement and topology of gauge theories
journal, March 1977


Wess-Zumino-Witten action and photons from the chiral magnetic effect
journal, October 2012


Improved model of vector mesons in holographic QCD
journal, November 2011


IR properties of chiral effects in pionic matter
journal, April 2018


Meson-baryon coupling constants from a chiral-invariant SU(3) Lagrangian and application to NN scattering
journal, February 1997


Confining strings
journal, February 1997


Dimensional reduction and catalysis of dynamical symmetry breaking by a magnetic field
journal, March 1996


The Chiral Magnetic Effect and anomaly-induced transport
journal, March 2014


Nucleon magnetic moments and magnetic properties of the vacuum in QCD
journal, January 1984


Chiral and Gravitational Anomalies on Fermi Surfaces
journal, October 2013


How to make a bilayer exciton condensate flow
journal, August 2008

  • Su, Jung-Jung; MacDonald, A. H.
  • Nature Physics, Vol. 4, Issue 10
  • DOI: 10.1038/nphys1055

Manifestations of magnetic vortices in the equation of state of a Yang-Mills plasma
journal, October 2008


One-form superfluids & magnetohydrodynamics
journal, January 2020


Low-dimensional long-range topological charge structure in the QCD vacuum
journal, December 2003


Generalized global symmetries
journal, February 2015

  • Gaiotto, Davide; Kapustin, Anton; Seiberg, Nathan
  • Journal of High Energy Physics, Vol. 2015, Issue 2
  • DOI: 10.1007/JHEP02(2015)172

Electric dipole moment induced by a QCD instanton in an external magnetic field
journal, February 2012


Quark condensate in a magnetic field
journal, June 1997


More on the tensor response of the QCD vacuum to an external magnetic field
journal, April 2012


Quantum anomalies in dense matter
journal, October 2004


Anomaly inflow on QCD axial domain-walls and vortices
journal, June 2018


Vortices and quark confinement in non-abelian gauge theories
journal, January 1975


Chiral magnetization of non-Abelian vacuum: A lattice study
journal, February 2010


Chiral phase transition and instanton–anti-instanton molecules
journal, February 1995

  • Schäfer, T.; Shuryak, E. V.; Verbaarschot, J. J. M.
  • Physical Review D, Vol. 51, Issue 3
  • DOI: 10.1103/PhysRevD.51.1267

Quark electric dipole moment induced by magnetic field
journal, February 2010


Vortical susceptibility of finite-density QCD matter
journal, October 2016

  • Aristova, A.; Frenklakh, D.; Gorsky, A.
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)029

On magnetic and vortical susceptibilities of the Cooper condensate
journal, November 2017


Magnetic fields in heavy ion collisions: flow and charge transport
journal, March 2020


Topology, Magnetic Field, and Strongly Interacting Matter
journal, October 2015


Axial anomaly and magnetism of nuclear and quark matter
journal, January 2008


Chiral magnetic effect
journal, October 2008


Successes and failures of a more comprehensive hard wall AdS/QCD
journal, April 2013

  • Domokos, S. K.; Harvey, J. A.; Royston, A. B.
  • Journal of High Energy Physics, Vol. 2013, Issue 4
  • DOI: 10.1007/JHEP04(2013)104