Fetching the paper…

Reading the bibliography…

Spectral sum rules for conformal field theories in arbitrary dimensions · Around

2016

Spectral sum rules for conformal field theories in arbitrary dimensions

Chowdhury, Subham Dutta, David, Justin R., Prakash, Shiroman

Original
PDF
Post on X

Understand

We derive spectral sum rules in the shear channel for conformal field theories at finite temperature in general $d\geq 3$ dimensions.

The sum rules result from the OPE of the stress tensor at high frequency as well as the hydrodynamic behaviour of the theory at low frequencies.
The sum rule states that a weighted integral of the spectral density over frequencies is proportional to the energy density of the theory.
We show that the proportionality constant can be written in terms the Hofman-Maldacena variables $t_2, t_4$ which determine the three point function of the stress tensor.

Built on

R. A. Ferrell and R. E. Glover, Conductivity of Superconducting Films: A Sum Rule
1958
Earlier work this paper cites.
M. Tinkham and R. A. Ferrell, Determination of the superconducting skin depth from the energy gap and sum rule
1959
Earlier work this paper cites.
H. Osborn and A. C. Petkou, Implications of conformal invariance in field theories for general dimensions
1994
Earlier work this paper cites.
M. Randeria, H. Ding, J.-C. Campuzano, A. Bellman, G. Jennings, T. Yokoya, T. Takahashi, H. Katayama-Yoshida, T. Mochiku, and K. Kadowaki, Momentum distribution sum rule for angle-resolved photoemission
1995
Earlier work this paper cites.
G. Arutyunov and S. Frolov, Three point Green function of the stress energy tensor in the AdS / CFT correspondence
1999
Earlier work this paper cites.
F. Bastianelli, S. Frolov, and A. A. Tseytlin, Three point correlators of stress tensors in maximally supersymmetric conformal theories in D = 3 and D = 6
2000
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski space correlators in AdS / CFT correspondence: Recipe and applications
2002
Earlier work this paper cites.
A. Nakamura and S. Sakai, Transport coefficients of gluon plasma
2005
Earlier work this paper cites.
G. Aarts, C. Allton, J. Foley, S. Hands, and S. Kim, Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
2007
Earlier work this paper cites.
H. B. Meyer, A Calculation of the shear viscosity in SU(3) gluodynamics
Original
2007
Earlier work this paper cites.
D. Kharzeev and K. Tuchin, Bulk viscosity of QCD matter near the critical temperature
Original
2008
Earlier work this paper cites.
F. Karsch, D. Kharzeev, and K. Tuchin, Universal properties of bulk viscosity near the QCD phase transition
Original
2008
Earlier work this paper cites.
H. B. Meyer, A Calculation of the bulk viscosity in SU(3) gluodynamics
Original
2008
Earlier work this paper cites.
K. Huebner, F. Karsch, and C. Pica, Correlation functions of the energy-momentum tensor in SU(2) gauge theory at finite temperature
Original
2008
Earlier work this paper cites.

Similar

D. M. Hofman and J. Maldacena, Conformal collider physics: Energy and charge correlations
Original
2008
Cited alongside, same era.
S. Bhattacharyya, R. Loganayagam, I. Mandal, S. Minwalla, and A. Sharma, Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
Original
2008
Cited alongside, same era.
O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
Original
2008
Cited alongside, same era.
P. Romatschke and D. T. Son, Spectral sum rules for the quark-gluon plasma
Original
2009
Cited alongside, same era.
S. Caron-Huot, Asymptotics of thermal spectral functions
Original

Then

J. R. David and S. Thakur, Sum rules and three point functions
Original
2012
Later among the works it cites.
W. Witczak-Krempa and S. Sachdev, The quasi-normal modes of quantum criticality
Original
2012
Later among the works it cites.
S. Giombi, S. Minwalla, S. Prakash, S. P. Trivedi, S. R. Wadia, and X. Yin, Chern-Simons Theory with Vector Fermion Matter
Original
2012
Later among the works it cites.
O. Aharony, G. Gur-Ari, and R. Yacoby, d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
Original
2012
Later among the works it cites.
O. Aharony, G. Gur-Ari, and R. Yacoby, Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2009

Cited alongside, same era.

H. B. Meyer, The Bulk Channel in Thermal Gauge Theories

2010

Cited alongside, same era.

H. B. Meyer, Lattice Gauge Theory Sum Rule for the Shear Channel

2010

Cited alongside, same era.

X. O. Camanho and J. D. Edelstein, Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity

2010

Cited alongside, same era.

A. Buchel, J. Escobedo, R. C. Myers, M. F. Paulos, A. Sinha, and M. Smolkin, Holographic GB gravity in arbitrary dimensions

2010

Cited alongside, same era.

D. R. Gulotta, C. P. Herzog, and M. Kaminski, Sum Rules from an Extra Dimension

2011

Cited alongside, same era.

H. B. Meyer, Transport Properties of the Quark-Gluon Plasma: A Lattice QCD Perspective

2011

Cited alongside, same era.

M. Kulaxizi and A. Parnachev, Energy Flux Positivity and Unitarity in CFTs

2011

Cited alongside, same era.

2012

Later among the works it cites.

S. Giombi, S. Prakash, and X. Yin, A Note on CFT Correlators in Three Dimensions

2013

Later among the works it cites.

G. Gur-Ari and R. Yacoby, Correlators of Large N Fermionic Chern-Simons Vector Models

2013

Later among the works it cites.

J. Maldacena and A. Zhiboedov, Constraining conformal field theories with a slightly broken higher spin symmetry

2013

Later among the works it cites.

E. Katz, S. Sachdev, E. S. S�rensen, and W. Witczak-Krempa, Conformal field theories at nonzero temperature: Operator product expansions, Monte Carlo, and holography

2014

Later among the works it cites.

W. Witczak-Krempa, Constraining Quantum Critical Dynamics: (2+1)D Ising Model and Beyond

2015

Later among the works it cites.

R. C. Myers, T. Sierens, and W. Witczak-Krempa, A Holographic Model for Quantum Critical Responses

2016

Closest in time.

T. Hartman, S. Jain, and S. Kundu, Causality Constraints in Conformal Field Theory

2016

Closest in time.

D. M. Hofman, D. Li, D. Meltzer, D. Poland, and F. Rejon-Barrera, A Proof of the Conformal Collider Bounds

2016

Closest in time.