Built on

D. G. Figueroa, A. Florio, and M. Shaposhnikov, “Chiral charge dynamics in Abelian gauge theories at finite temperature,” JHEP
Original
1904
Earlier work this paper cites.
D. Gaiotto and T. Johnson-Freyd, “Condensations in higher categories,” arXiv:1905.09566 [math.CT]
Original
1905
Earlier work this paper cites.
S. L. Adler, “Axial vector vertex in spinor electrodynamics,” Phys. Rev
1969
Earlier work this paper cites.
J. S. Bell and R. Jackiw, “A PCAC puzzle: π 0 → γ γ \pi^{0}\to\gamma\gamma in the σ \sigma model,” Nuovo Cim. A
1969
Earlier work this paper cites.
A. Vilenkin, “Cancellation of equilibrium parity violating currents,” Phys. Rev. D
1980
Earlier work this paper cites.
L. Landau and E. Lifshitz, “Fluid mechanics. 1987,” Course of Theoretical Physics
1987
Earlier work this paper cites.
Westview Press, Chicago, 1995
M. Peskin and D. Schroeder, An Introduction to Quantum Field Theory · 1995
Earlier work this paper cites.
M. Joyce and M. E. Shaposhnikov, “Primordial magnetic fields, right-handed electrons, and the Abelian anomaly,” Phys. Rev. Lett
1997
Earlier work this paper cites.
A. Gromov, A. Lucas, and R. M. Nandkishore, “Fracton hydrodynamics,” Phys. Rev. Res
Original
2003
Earlier work this paper cites.
M. A. Metlitski and A. R. Zhitnitsky, “Anomalous axion interactions and topological currents in dense matter,” Phys. Rev. D
2005
Earlier work this paper cites.
G. M. Newman and D. T. Son, “Response of strongly-interacting matter to magnetic field: Some exact results,” Phys. Rev. D
2006
Earlier work this paper cites.
D. T. Son and P. Surowka, “Hydrodynamics with Triangle Anomalies,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
N. Iqbal and N. Poovuttikul, “2-group global symmetries, hydrodynamics and holography,” arXiv:2010.00320 [hep-th]
Original
2010
Earlier work this paper cites.
Y. Neiman and Y. Oz, “Relativistic Hydrodynamics with General Anomalous Charges,” JHEP
Original
2011
Earlier work this paper cites.
N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Jain, S. Minwalla, and T. Sharma, “Constraints on Fluid Dynamics from Equilibrium Partition Functions,” JHEP
Original
2012
Earlier work this paper cites.
K. Jensen, “Triangle Anomalies, Thermodynamics, and Hydrodynamics,” Phys. Rev. D
Original
2012
Earlier work this paper cites.

Similar

K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz, and A. Yarom, “Towards hydrodynamics without an entropy current,” Phys. Rev. Lett
Original
2012
Cited alongside, same era.
S. Dubovsky, L. Hui, A. Nicolis, and D. T. Son, “Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion,” Phys. Rev
Original
2012
Cited alongside, same era.
M. Ammon, S. Grieninger, J. Hernandez, M. Kaminski, R. Koirala, J. Leiber, and J. Wu, “Chiral hydrodynamics in strong external magnetic fields,” JHEP
Original
2012
Cited alongside, same era.
K. Jensen, P. Kovtun, and A. Ritz, “Chiral conductivities and effective field theory,” JHEP
Original
2013
Cited alongside, same era.
F. M. Haehl, R. Loganayagam, and M. Rangamani, “Effective actions for anomalous hydrodynamics,” JHEP

Then

L. Del Zanna and N. Bucciatini, “Covariant and 3 + 1 equations for dynamo-chiral general relativistic magnetohydrodynamics,” Mon. Not. Roy. Astron. Soc
Original
2018
Later among the works it cites.
H. Liu and P. Glorioso, “Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics,” PoS
Original
2018
Later among the works it cites.
M. Stephanov and Y. Yin, “Hydrodynamics with parametric slowing down and fluctuations near the critical point,” Phys. Rev. D
Original
2018
Later among the works it cites.
D. G. Figueroa and M. Shaposhnikov, “Anomalous non-conservation of fermion/chiral number in Abelian gauge theories at finite temperature,” JHEP
Original
2018
Later among the works it cites.
K. Hattori, Y. Hirono, H.-U. Yee, and Y. Yin, “MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities,” Phys. Rev. D

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2022

Towards an effective action for chiral magnetohydrodynamics

Das, Arpit, Iqbal, Nabil, Poovuttikul, Napat

Understand

We consider chiral magnetohydrodynamics, i.e.

a finite-temperature system where an axial $U(1)$ current is not conserved due to an Adler-Bell-Jackiw anomaly saturated by the dynamical operator $F_{\mu\nu} \tilde{F}^{\mu\nu}$.
We express this anomaly in terms of the 1-form symmetry associated with magnetic flux conservation and study its realization at finite temperature.
We present Euclidean generating functional and dissipative action approaches to the dynamics and reproduce some aspects of chiral MHD phenomenology from an effective theory viewpoint, including the chiral separation and magnetic effects.

Built on

D. G. Figueroa, A. Florio, and M. Shaposhnikov, “Chiral charge dynamics in Abelian gauge theories at finite temperature,” JHEP
Original
1904
Earlier work this paper cites.
D. Gaiotto and T. Johnson-Freyd, “Condensations in higher categories,” arXiv:1905.09566 [math.CT]
Original
1905
Earlier work this paper cites.
S. L. Adler, “Axial vector vertex in spinor electrodynamics,” Phys. Rev
1969
Earlier work this paper cites.
J. S. Bell and R. Jackiw, “A PCAC puzzle: π 0 → γ γ \pi^{0}\to\gamma\gamma in the σ \sigma model,” Nuovo Cim. A
1969
Earlier work this paper cites.
A. Vilenkin, “Cancellation of equilibrium parity violating currents,” Phys. Rev. D
1980
Earlier work this paper cites.
L. Landau and E. Lifshitz, “Fluid mechanics. 1987,” Course of Theoretical Physics
1987
Earlier work this paper cites.
Westview Press, Chicago, 1995
M. Peskin and D. Schroeder, An Introduction to Quantum Field Theory · 1995
Earlier work this paper cites.
M. Joyce and M. E. Shaposhnikov, “Primordial magnetic fields, right-handed electrons, and the Abelian anomaly,” Phys. Rev. Lett
1997
Earlier work this paper cites.
A. Gromov, A. Lucas, and R. M. Nandkishore, “Fracton hydrodynamics,” Phys. Rev. Res
Original
2003
Earlier work this paper cites.
M. A. Metlitski and A. R. Zhitnitsky, “Anomalous axion interactions and topological currents in dense matter,” Phys. Rev. D
2005
Earlier work this paper cites.
G. M. Newman and D. T. Son, “Response of strongly-interacting matter to magnetic field: Some exact results,” Phys. Rev. D
2006
Earlier work this paper cites.
D. T. Son and P. Surowka, “Hydrodynamics with Triangle Anomalies,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
N. Iqbal and N. Poovuttikul, “2-group global symmetries, hydrodynamics and holography,” arXiv:2010.00320 [hep-th]
Original
2010
Earlier work this paper cites.
Y. Neiman and Y. Oz, “Relativistic Hydrodynamics with General Anomalous Charges,” JHEP
Original
2011
Earlier work this paper cites.
N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Jain, S. Minwalla, and T. Sharma, “Constraints on Fluid Dynamics from Equilibrium Partition Functions,” JHEP
Original
2012
Earlier work this paper cites.
K. Jensen, “Triangle Anomalies, Thermodynamics, and Hydrodynamics,” Phys. Rev. D
Original
2012
Earlier work this paper cites.

Similar

K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz, and A. Yarom, “Towards hydrodynamics without an entropy current,” Phys. Rev. Lett
Original
2012
Cited alongside, same era.
S. Dubovsky, L. Hui, A. Nicolis, and D. T. Son, “Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion,” Phys. Rev
Original
2012
Cited alongside, same era.
M. Ammon, S. Grieninger, J. Hernandez, M. Kaminski, R. Koirala, J. Leiber, and J. Wu, “Chiral hydrodynamics in strong external magnetic fields,” JHEP
Original
2012
Cited alongside, same era.
K. Jensen, P. Kovtun, and A. Ritz, “Chiral conductivities and effective field theory,” JHEP
Original
2013
Cited alongside, same era.
F. M. Haehl, R. Loganayagam, and M. Rangamani, “Effective actions for anomalous hydrodynamics,” JHEP

Then

L. Del Zanna and N. Bucciatini, “Covariant and 3 + 1 equations for dynamo-chiral general relativistic magnetohydrodynamics,” Mon. Not. Roy. Astron. Soc
Original
2018
Later among the works it cites.
H. Liu and P. Glorioso, “Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics,” PoS
Original
2018
Later among the works it cites.
M. Stephanov and Y. Yin, “Hydrodynamics with parametric slowing down and fluctuations near the critical point,” Phys. Rev. D
Original
2018
Later among the works it cites.
D. G. Figueroa and M. Shaposhnikov, “Anomalous non-conservation of fermion/chiral number in Abelian gauge theories at finite temperature,” JHEP
Original
2018
Later among the works it cites.
K. Hattori, Y. Hirono, H.-U. Yee, and Y. Yin, “MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities,” Phys. Rev. D

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2014

Cited alongside, same era.

S. Dubovsky, L. Hui, and A. Nicolis, “Effective field theory for hydrodynamics: Wess-Zumino term and anomalies in two spacetime dimensions,” Phys. Rev. D

Original

2014

Cited alongside, same era.

K. Jensen, R. Loganayagam, and A. Yarom, “Anomaly inflow and thermal equilibrium,” JHEP

Original

2014

Cited alongside, same era.

A. Boyarsky, J. Frohlich, and O. Ruchayskiy, “Magnetohydrodynamics of Chiral Relativistic Fluids,” Phys. Rev. D

Original

2015

Cited alongside, same era.

F. M. Haehl, R. Loganayagam, and M. Rangamani, “The eightfold way to dissipation,” Phys. Rev. Lett

Original

2015

Cited alongside, same era.

D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, “Generalized Global Symmetries,” JHEP

Original

2015

Cited alongside, same era.

K. Landsteiner, “Notes on Anomaly Induced Transport,” Acta Phys. Polon

Original

2016

Cited alongside, same era.

N. Yamamoto, “Scaling laws in chiral hydrodynamic turbulence,” Phys. Rev. D

Original

2016

Cited alongside, same era.

Original

2019