Built on

L. V. Delacrétaz, B. Goutéraux, S. A. Hartnoll and A. Karlsson, Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid, Phys. Rev. B 100
Original
1904
Earlier work this paper cites.
M. Ammon, M. Baggioli and A. Jiménez-Alba, A Unified Description of Translational Symmetry Breaking in Holography, JHEP 09
Original
1904
Earlier work this paper cites.
A. Donos, D. Martin, C. Pantelidou and V. Ziogas, Hydrodynamics of broken global symmetries in the bulk, JHEP 10
Original
1905
Earlier work this paper cites.
M. Baggioli and S. Grieninger, Zoology of solid \& fluid holography — Goldstone modes and phase relaxation, JHEP 10
Original
1905
Earlier work this paper cites.
A. Donos, D. Martin, C. Pantelidou and V. Ziogas, Incoherent hydrodynamics and density waves, Class. Quant. Grav. 37
Original
1906
Earlier work this paper cites.
L. V. Delacrétaz, D. M. Hofman and G. Mathys, Superfluids as Higher-form Anomalies, SciPost Phys. 8
Original
1908
Earlier work this paper cites.
J. Armas and A. Jain, Viscoelastic hydrodynamics and holography, JHEP 01
Original
1908
Earlier work this paper cites.
A. Amoretti, D. Areán, B. Goutéraux and D. Musso, Gapless and gapped holographic phonons, JHEP 01
Original
1910
Earlier work this paper cites.
L. P. Kadanoff and P. C. Martin, Hydrodynamic equations and correlation functions, Annals of Physics 24
1963
Earlier work this paper cites.
J. Bardeen and M. J. Stephen, Theory of the motion of vortices in superconductors, Phys. Rev. 140
1965
Earlier work this paper cites.
B. I. Halperin and P. C. Hohenberg, Hydrodynamic theory of spin waves, Phys. Rev. 188
1969
Earlier work this paper cites.
H. Fukuyama and P. A. Lee, Dynamics of the charge-density wave. i. impurity pinning in a single chain, Phys. Rev. B 17
1978
Earlier work this paper cites.
H. Fukuyama and P. A. Lee, Pinning and conductivity of two-dimensional charge-density waves in magnetic fields, Phys. Rev. B 18
1978
Earlier work this paper cites.
B. I. Halperin and D. R. Nelson, Theory of two-dimensional melting, Phys. Rev. Lett. 41
1978
Earlier work this paper cites.
D. R. Nelson and B. I. Halperin, Dislocation-mediated melting in two dimensions, Phys. Rev. B 19
1979
Earlier work this paper cites.
A. Zippelius, B. I. Halperin and D. R. Nelson, Dynamics of two-dimensional melting, Phys. Rev. B 22
1980
Earlier work this paper cites.
G. Grüner, The dynamics of charge-density waves, Rev. Mod. Phys. 60
1988
Earlier work this paper cites.
Cambridge university press Cambridge, 1995
P. M. Chaikin, T. C. Lubensky and T. A. Witten, Principles of condensed matter physics , vol. 10 · 1995
Earlier work this paper cites.
S. A. Kivelson, E. Fradkin and V. J. Emery, Electronic liquid-crystal phases of a doped mott insulator, Nature 393
1998
Earlier work this paper cites.
M. P. Lilly, K. B. Cooper, J. P. Eisenstein, L. N. Pfeiffer and K. W. West, Evidence for an anisotropic state of two-dimensional electrons in high landau levels, Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
E. Fradkin and S. A. Kivelson, Liquid-crystal phases of quantum hall systems, Phys. Rev. B 59
1999
Earlier work this paper cites.
M. M. Fogler and D. A. Huse, Dynamical response of a pinned two-dimensional Wigner crystal, Phys. Rev. B 62
2000
Earlier work this paper cites.
M. Baggioli, Homogeneous holographic viscoelastic models and quasicrystals, Phys. Rev. Res. 2
Original
2001
Earlier work this paper cites.
N. E. Hussey, R. A. Cooper, X. Xu, Y. Wang, I. Mouzopoulou, B. Vignolle and C. Proust, Dichotomy in the T {T} -linear resistivity in hole-doped cuprates, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369
Original
2001
Earlier work this paper cites.

Similar

J. Armas and A. Jain, Hydrodynamics for charge density waves and their holographic duals, Phys. Rev. D 101
Original
2001
Cited alongside, same era.
M. Ammon, M. Baggioli, S. Gray, S. Grieninger and A. Jain, On the Hydrodynamic Description of Holographic Viscoelastic Models, Phys. Lett. B 808
Original
2001
Cited alongside, same era.
D. T. Son and M. A. Stephanov, Pion propagation near the QCD chiral phase transition, Phys. Rev. Lett. 88
2002
Cited alongside, same era.
D. T. Son and M. A. Stephanov, Real time pion propagation in finite temperature QCD, Phys. Rev. D 66
2002
Cited alongside, same era.
Y. Ando, K. Segawa, S. Komiya and A. N. Lavrov, Electrical resistivity anisotropy from self-organized one dimensionality in high-temperature superconductors, Phys. Rev. Lett. 88
2002

Then

N. Jokela, M. Jarvinen and M. Lippert, Pinning of holographic sliding stripes, Phys. Rev. D96
Original
2017
Later among the works it cites.
M. Crossley, P. Glorioso and H. Liu, Effective field theory of dissipative fluids, JHEP 09
Original
2017
Later among the works it cites.
A. Jain, Theory of non-Abelian superfluid dynamics, Phys. Rev. D 95
Original
2017
Later among the works it cites.
S. Caprara, C. Di Castro, G. Seibold and M. Grilli, Dynamical charge density waves rule the phase diagram of cuprates, 95
Original
2017
Later among the works it cites.
P. Glorioso, M. Crossley and H. Liu, Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current, JHEP 09

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2021

Damping of Pseudo-Goldstone Fields

Delacrétaz, Luca V., Goutéraux, Blaise, Ziogas, Vaios

Understand

Approximate symmetries abound in Nature.

If these symmetries are also spontaneously broken, the would-be Goldstone modes acquire a small mass, or inverse correlation length, and are referred to as pseudo-Goldstones.
At nonzero temperature, the effects of dissipation can be captured by hydrodynamics at sufficiently long scales compared to the local equilibrium.
Here we show that in the limit of weak explicit breaking, locality of hydrodynamics implies that the damping of pseudo-Goldstones is completely determined by their mass and diffusive transport coefficients.

Built on

L. V. Delacrétaz, B. Goutéraux, S. A. Hartnoll and A. Karlsson, Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid, Phys. Rev. B 100
Original
1904
Earlier work this paper cites.
M. Ammon, M. Baggioli and A. Jiménez-Alba, A Unified Description of Translational Symmetry Breaking in Holography, JHEP 09
Original
1904
Earlier work this paper cites.
A. Donos, D. Martin, C. Pantelidou and V. Ziogas, Hydrodynamics of broken global symmetries in the bulk, JHEP 10
Original
1905
Earlier work this paper cites.
M. Baggioli and S. Grieninger, Zoology of solid \& fluid holography — Goldstone modes and phase relaxation, JHEP 10
Original
1905
Earlier work this paper cites.
A. Donos, D. Martin, C. Pantelidou and V. Ziogas, Incoherent hydrodynamics and density waves, Class. Quant. Grav. 37
Original
1906
Earlier work this paper cites.
L. V. Delacrétaz, D. M. Hofman and G. Mathys, Superfluids as Higher-form Anomalies, SciPost Phys. 8
Original
1908
Earlier work this paper cites.
J. Armas and A. Jain, Viscoelastic hydrodynamics and holography, JHEP 01
Original
1908
Earlier work this paper cites.
A. Amoretti, D. Areán, B. Goutéraux and D. Musso, Gapless and gapped holographic phonons, JHEP 01
Original
1910
Earlier work this paper cites.
L. P. Kadanoff and P. C. Martin, Hydrodynamic equations and correlation functions, Annals of Physics 24
1963
Earlier work this paper cites.
J. Bardeen and M. J. Stephen, Theory of the motion of vortices in superconductors, Phys. Rev. 140
1965
Earlier work this paper cites.
B. I. Halperin and P. C. Hohenberg, Hydrodynamic theory of spin waves, Phys. Rev. 188
1969
Earlier work this paper cites.
H. Fukuyama and P. A. Lee, Dynamics of the charge-density wave. i. impurity pinning in a single chain, Phys. Rev. B 17
1978
Earlier work this paper cites.
H. Fukuyama and P. A. Lee, Pinning and conductivity of two-dimensional charge-density waves in magnetic fields, Phys. Rev. B 18
1978
Earlier work this paper cites.
B. I. Halperin and D. R. Nelson, Theory of two-dimensional melting, Phys. Rev. Lett. 41
1978
Earlier work this paper cites.
D. R. Nelson and B. I. Halperin, Dislocation-mediated melting in two dimensions, Phys. Rev. B 19
1979
Earlier work this paper cites.
A. Zippelius, B. I. Halperin and D. R. Nelson, Dynamics of two-dimensional melting, Phys. Rev. B 22
1980
Earlier work this paper cites.
G. Grüner, The dynamics of charge-density waves, Rev. Mod. Phys. 60
1988
Earlier work this paper cites.
Cambridge university press Cambridge, 1995
P. M. Chaikin, T. C. Lubensky and T. A. Witten, Principles of condensed matter physics , vol. 10 · 1995
Earlier work this paper cites.
S. A. Kivelson, E. Fradkin and V. J. Emery, Electronic liquid-crystal phases of a doped mott insulator, Nature 393
1998
Earlier work this paper cites.
M. P. Lilly, K. B. Cooper, J. P. Eisenstein, L. N. Pfeiffer and K. W. West, Evidence for an anisotropic state of two-dimensional electrons in high landau levels, Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
E. Fradkin and S. A. Kivelson, Liquid-crystal phases of quantum hall systems, Phys. Rev. B 59
1999
Earlier work this paper cites.
M. M. Fogler and D. A. Huse, Dynamical response of a pinned two-dimensional Wigner crystal, Phys. Rev. B 62
2000
Earlier work this paper cites.
M. Baggioli, Homogeneous holographic viscoelastic models and quasicrystals, Phys. Rev. Res. 2
Original
2001
Earlier work this paper cites.
N. E. Hussey, R. A. Cooper, X. Xu, Y. Wang, I. Mouzopoulou, B. Vignolle and C. Proust, Dichotomy in the T {T} -linear resistivity in hole-doped cuprates, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369
Original
2001
Earlier work this paper cites.

Similar

J. Armas and A. Jain, Hydrodynamics for charge density waves and their holographic duals, Phys. Rev. D 101
Original
2001
Cited alongside, same era.
M. Ammon, M. Baggioli, S. Gray, S. Grieninger and A. Jain, On the Hydrodynamic Description of Holographic Viscoelastic Models, Phys. Lett. B 808
Original
2001
Cited alongside, same era.
D. T. Son and M. A. Stephanov, Pion propagation near the QCD chiral phase transition, Phys. Rev. Lett. 88
2002
Cited alongside, same era.
D. T. Son and M. A. Stephanov, Real time pion propagation in finite temperature QCD, Phys. Rev. D 66
2002
Cited alongside, same era.
Y. Ando, K. Segawa, S. Komiya and A. N. Lavrov, Electrical resistivity anisotropy from self-organized one dimensionality in high-temperature superconductors, Phys. Rev. Lett. 88
2002

Then

N. Jokela, M. Jarvinen and M. Lippert, Pinning of holographic sliding stripes, Phys. Rev. D96
Original
2017
Later among the works it cites.
M. Crossley, P. Glorioso and H. Liu, Effective field theory of dissipative fluids, JHEP 09
Original
2017
Later among the works it cites.
A. Jain, Theory of non-Abelian superfluid dynamics, Phys. Rev. D 95
Original
2017
Later among the works it cites.
S. Caprara, C. Di Castro, G. Seibold and M. Grilli, Dynamical charge density waves rule the phase diagram of cuprates, 95
Original
2017
Later among the works it cites.
P. Glorioso, M. Crossley and H. Liu, Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current, JHEP 09

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

F. Rullier-Albenque, H. Alloul and R. Tourbot, Influence of pair breaking and phase fluctuations on disordered high T c {T}_{c} cuprate superconductors, Phys. Rev. Lett. 91

2003

Cited alongside, same era.

J. Zaanen, Superconductivity: Why the temperature is high, Nature 430

2004

Cited alongside, same era.

M. Baggioli, S. Grieninger and L. Li, Magnetophonons & type-B Goldstones from Hydrodynamics to Holography, JHEP 09

Original

2005

Cited alongside, same era.

E. Grossi, A. Soloviev, D. Teaney and F. Yan, Transport and hydrodynamics in the chiral limit, Phys. Rev. D 102

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2005

Cited alongside, same era.

M. Baggioli and M. Landry, Effective Field Theory for Quasicrystals and Phasons Dynamics, SciPost Phys. 9

Original

2008

Cited alongside, same era.

T. Andrade, M. Baggioli and A. Krikun, Phase relaxation and pattern formation in holographic gapless charge density waves, JHEP 03

Original

2009

Cited alongside, same era.

R. Cooper, Y. Wang, B. Vignolle, O. Lipscombe, S. Hayden, Y. Tanabe, T. Adachi, Y. Koike, M. Nohara, H. Takagi et al., Anomalous criticality in the electrical resistivity of la2–x sr x cuo4, Science 323

2009

Cited alongside, same era.

Original

2017

Later among the works it cites.

T. Andrade, M. Baggioli, A. Krikun and N. Poovuttikul, Pinning of longitudinal phonons in holographic spontaneous helices, JHEP 02

Original

2018

Later among the works it cites.

L. Alberte, M. Ammon, M. Baggioli, A. Jiménez and O. Pujolàs, Black hole elasticity and gapped transverse phonons in holography, JHEP 01

Original

2018