Built on

M. Ammon, M. Baggioli and A. Jimenez-Alba, A Unified Description of Translational Symmetry Breaking in Holography , 1904.05785
Original
1904
Earlier work this paper cites.
A. Amoretti, D. Areán, B. Goutéraux and D. Musso, Diffusion and universal relaxation of holographic phonons , 1904.11445
Original
1904
Earlier work this paper cites.
M. Baggioli, U. Gran, A. J. Alba, M. Tornsö and T. Zingg, Holographic Plasmon Relaxation with and without Broken Translations , 1905.00804
Original
1905
Earlier work this paper cites.
M. Baggioli and S. Grieninger, Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation , 1905.09488
Original
1905
Earlier work this paper cites.
A. Donos, D. Martin, C. Pantelidou and V. Ziogas, Hydrodynamics of broken global symmetries in the bulk , 1905.00398
Original
1905
Earlier work this paper cites.
A. Donos, D. Martin, C. Pantelidou and V. Ziogas, Incoherent hydrodynamics and density waves , 1906.03132
Original
1906
Earlier work this paper cites.
F. H. MacDougall, Kinetic theory of liquids. by j. frenkel. , The Journal of Physical and Colloid Chemistry 51
1947
Earlier work this paper cites.
Pergamon Press, 1970
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7,Theory of Elasticity · 1970
Earlier work this paper cites.
P. C. Martin, O. Parodi and P. S. Pershan, Unified hydrodynamic theory for crystals, liquid crystals, and normal fluids , Phys. Rev. A 6
1972
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.
Cambridge University Press, 1995, 10.1017/CBO9780511813467
P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics · 1995
Earlier work this paper cites.
H. Leutwyler, Phonons as goldstone bosons , Helv. Phys. Acta 70
1997
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, From AdS / CFT correspondence to hydrodynamics , JHEP 09
2002
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, From AdS / CFT correspondence to hydrodynamics. 2. Sound waves , JHEP 12
2002
Earlier work this paper cites.

Similar

K. Skenderis, Lecture notes on holographic renormalization , Class. Quant. Grav. 19
2002
Cited alongside, same era.
R. Baier, P. Romatschke, D. T. Son, A. O. Starinets and M. A. Stephanov, Relativistic viscous hydrodynamics, conformal invariance, and holography , JHEP 04
Original
2008
Cited alongside, same era.
L. Noirez and P. Baroni, Identification of a low-frequency elastic behaviour in liquid water , Journal of Physics: Condensed Matter 24
2012
Cited alongside, same era.
P. Kovtun, Lectures on hydrodynamic fluctuations in relativistic theories , J. Phys. A45
Original
2012
Cited alongside, same era.
A. Nicolis, R. Penco, F. Piazza and R. Rattazzi, Zoology of condensed matter: Framids, ordinary stuff, extra-ordinary stuff , JHEP 06
Original
2015

Then

M. Baggioli and M. Goykhman, Under The Dome: Doped holographic superconductors with broken translational symmetry , JHEP 01
Original
2016
Later among the works it cites.
L. Alberte, M. Baggioli and O. Pujolas, Viscosity bound violation in holographic solids and the viscoelastic response , JHEP 07
Original
2016
Later among the works it cites.
K. K. Kim, M. Park and K.-Y. Kim, Ward identity and Homes’ law in a holographic superconductor with momentum relaxation , JHEP 10
Original
2016
Later among the works it cites.
M. Ammon, S. Grieninger, A. Jimenez-Alba, R. P. Macedo and L. Melgar, Holographic quenches and anomalous transport , JHEP 09
Original
2016
Later among the works it cites.

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2019

Longitudinal Sound and Diffusion in Holographic Massive Gravity

Ammon, Martin, Baggioli, Matteo, Gray, Seán et al.

Understand

We consider a simple class of holographic massive gravity models for which the dual field theories break translational invariance spontaneously.

We study, in detail, the longitudinal sector of the quasi-normal modes at zero charge density.
We identify three hydrodynamic modes in this sector: a pair of sound modes and one diffusion mode.
We numerically compute the dispersion relations of the hydrodynamic modes.

Built on

M. Ammon, M. Baggioli and A. Jimenez-Alba, A Unified Description of Translational Symmetry Breaking in Holography , 1904.05785
Original
1904
Earlier work this paper cites.
A. Amoretti, D. Areán, B. Goutéraux and D. Musso, Diffusion and universal relaxation of holographic phonons , 1904.11445
Original
1904
Earlier work this paper cites.
M. Baggioli, U. Gran, A. J. Alba, M. Tornsö and T. Zingg, Holographic Plasmon Relaxation with and without Broken Translations , 1905.00804
Original
1905
Earlier work this paper cites.
M. Baggioli and S. Grieninger, Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation , 1905.09488
Original
1905
Earlier work this paper cites.
A. Donos, D. Martin, C. Pantelidou and V. Ziogas, Hydrodynamics of broken global symmetries in the bulk , 1905.00398
Original
1905
Earlier work this paper cites.
A. Donos, D. Martin, C. Pantelidou and V. Ziogas, Incoherent hydrodynamics and density waves , 1906.03132
Original
1906
Earlier work this paper cites.
F. H. MacDougall, Kinetic theory of liquids. by j. frenkel. , The Journal of Physical and Colloid Chemistry 51
1947
Earlier work this paper cites.
Pergamon Press, 1970
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7,Theory of Elasticity · 1970
Earlier work this paper cites.
P. C. Martin, O. Parodi and P. S. Pershan, Unified hydrodynamic theory for crystals, liquid crystals, and normal fluids , Phys. Rev. A 6
1972
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.
Cambridge University Press, 1995, 10.1017/CBO9780511813467
P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics · 1995
Earlier work this paper cites.
H. Leutwyler, Phonons as goldstone bosons , Helv. Phys. Acta 70
1997
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, From AdS / CFT correspondence to hydrodynamics , JHEP 09
2002
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, From AdS / CFT correspondence to hydrodynamics. 2. Sound waves , JHEP 12
2002
Earlier work this paper cites.

Similar

K. Skenderis, Lecture notes on holographic renormalization , Class. Quant. Grav. 19
2002
Cited alongside, same era.
R. Baier, P. Romatschke, D. T. Son, A. O. Starinets and M. A. Stephanov, Relativistic viscous hydrodynamics, conformal invariance, and holography , JHEP 04
Original
2008
Cited alongside, same era.
L. Noirez and P. Baroni, Identification of a low-frequency elastic behaviour in liquid water , Journal of Physics: Condensed Matter 24
2012
Cited alongside, same era.
P. Kovtun, Lectures on hydrodynamic fluctuations in relativistic theories , J. Phys. A45
Original
2012
Cited alongside, same era.
A. Nicolis, R. Penco, F. Piazza and R. Rattazzi, Zoology of condensed matter: Framids, ordinary stuff, extra-ordinary stuff , JHEP 06
Original
2015

Then

M. Baggioli and M. Goykhman, Under The Dome: Doped holographic superconductors with broken translational symmetry , JHEP 01
Original
2016
Later among the works it cites.
L. Alberte, M. Baggioli and O. Pujolas, Viscosity bound violation in holographic solids and the viscoelastic response , JHEP 07
Original
2016
Later among the works it cites.
K. K. Kim, M. Park and K.-Y. Kim, Ward identity and Homes’ law in a holographic superconductor with momentum relaxation , JHEP 10
Original
2016
Later among the works it cites.
M. Ammon, S. Grieninger, A. Jimenez-Alba, R. P. Macedo and L. Melgar, Holographic quenches and anomalous transport , JHEP 09
Original
2016
Later among the works it cites.

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.

Cambridge University Press, 2015

M. Ammon and J. Erdmenger, Gauge/gravity duality · 2015

Cited alongside, same era.

Cambridge University Press, 2015

J. Zaanen, Y. Liu, Y. Sun and K. Schalm, Holographic Duality in Condensed Matter Physics · 2015

Cited alongside, same era.

M. Baggioli and O. Pujolas, Electron-Phonon Interactions, Metal-Insulator Transitions, and Holographic Massive Gravity , Phys. Rev. Lett. 114

Original

2015

Cited alongside, same era.

M. Baggioli and M. Goykhman, Phases of holographic superconductors with broken translational symmetry , JHEP 07

Original

2015

Cited alongside, same era.

R. A. Davison and B. Goutéraux, Momentum dissipation and effective theories of coherent and incoherent transport , JHEP 01

Original

2015

Cited alongside, same era.

K. Trachenko and V. V. Brazhkin, Collective modes and thermodynamics of the liquid state , Reports on Progress in Physics 79

Original

2016

Cited alongside, same era.

R. A. Davison, L. V. Delacrétaz, B. Goutéraux and S. A. Hartnoll, Hydrodynamic theory of quantum fluctuating superconductivity , Phys. Rev. B94

Original

2016

Cited alongside, same era.

C. Yang, M. T. Dove, V. V. Brazhkin and K. Trachenko, Emergence and evolution of the k k gap in spectra of liquid and supercritical states , Phys. Rev. Lett. 118

2017