Built on

S. Banerjee, K. Papadodimas, S. Raju, P. Samantray and P. Shrivastava, A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta , 1902.07203
Original
1902
Earlier work this paper cites.
R. Kubo, Statistical mechanical theory of irreversible processes. 1. General theory and simple applications in magnetic and conduction problems , J. Phys. Soc. Jap. 12
1957
Earlier work this paper cites.
P. C. Martin and J. Schwinger, Theory of Many-Particle Systems. I , Phys. Rev. 115
1959
Earlier work this paper cites.
G. Mack, Convergence of Operator Product Expansions on the Vacuum in Conformal Invariant Quantum Field Theory , Commun. Math. Phys. 53
1977
Earlier work this paper cites.
M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, QCD and Resonance Physics. Theoretical Foundations , Nucl. Phys. B147
1979
Earlier work this paper cites.
M. Gaberdiel, A General transformation formula for conformal fields , Phys. Lett. B325
1994
Earlier work this paper cites.
M. Le Bellac, Thermal Field Theory , Cambridge Monographs on Mathematical Physics. Cambridge University Press, 1996, 10.1017/CBO9780511721700
1996
Earlier work this paper cites.
J. M. Maldacena and A. Strominger, Universal low-energy dynamics for rotating black holes , Phys. Rev. D56
1997
Earlier work this paper cites.
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory , Graduate Texts in Contemporary Physics. Springer-Verlag, New York, 1997, 10.1007/978-1-4612-2256-9
1997
Earlier work this paper cites.
M. A. Shifman, Snapshots of hadrons or the story of how the vacuum medium determines the properties of the classical mesons which are produced, live and die in the QCD vacuum , Prog. Theor. Phys. Suppl. 131
1998
Earlier work this paper cites.
A. D. Poularikas, Handbook of Formulas and Tables for Signal Processing . CRC Press, 1998
1998
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski space correlators in AdS / CFT correspondence: Recipe and applications , JHEP 09
2002
Earlier work this paper cites.
H. B. Meyer, Energy-momentum tensor correlators and spectral functions , JHEP 08
Original
2008
Earlier work this paper cites.
S. Caron-Huot, Asymptotics of thermal spectral functions , Phys. Rev. D79
Original
2009
Earlier work this paper cites.

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2019

Thermal CFTs in momentum space

Manenti, Andrea

Understand

We study some aspects of conformal field theories at finite temperature in momentum space.

We provide a formula for the Fourier transform of a thermal conformal block and study its analytic properties.
In particular we show that the Fourier transform vanishes when the conformal dimension and spin are those of a "double twist" operator $\Delta = 2\Delta_\phi + \ell + 2n$.
By analytically continuing to Lorentzian signature we show that the spectral density at high spatial momenta has support on the spectrum condition $|\omega| > |k|$.

Built on

S. Banerjee, K. Papadodimas, S. Raju, P. Samantray and P. Shrivastava, A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta , 1902.07203
Original
1902
Earlier work this paper cites.
R. Kubo, Statistical mechanical theory of irreversible processes. 1. General theory and simple applications in magnetic and conduction problems , J. Phys. Soc. Jap. 12
1957
Earlier work this paper cites.
P. C. Martin and J. Schwinger, Theory of Many-Particle Systems. I , Phys. Rev. 115
1959
Earlier work this paper cites.
G. Mack, Convergence of Operator Product Expansions on the Vacuum in Conformal Invariant Quantum Field Theory , Commun. Math. Phys. 53
1977
Earlier work this paper cites.
M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, QCD and Resonance Physics. Theoretical Foundations , Nucl. Phys. B147
1979
Earlier work this paper cites.
M. Gaberdiel, A General transformation formula for conformal fields , Phys. Lett. B325
1994
Earlier work this paper cites.
M. Le Bellac, Thermal Field Theory , Cambridge Monographs on Mathematical Physics. Cambridge University Press, 1996, 10.1017/CBO9780511721700
1996
Earlier work this paper cites.
J. M. Maldacena and A. Strominger, Universal low-energy dynamics for rotating black holes , Phys. Rev. D56
1997
Earlier work this paper cites.
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory , Graduate Texts in Contemporary Physics. Springer-Verlag, New York, 1997, 10.1007/978-1-4612-2256-9
1997
Earlier work this paper cites.
M. A. Shifman, Snapshots of hadrons or the story of how the vacuum medium determines the properties of the classical mesons which are produced, live and die in the QCD vacuum , Prog. Theor. Phys. Suppl. 131
1998
Earlier work this paper cites.
A. D. Poularikas, Handbook of Formulas and Tables for Signal Processing . CRC Press, 1998
1998
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski space correlators in AdS / CFT correspondence: Recipe and applications , JHEP 09
2002
Earlier work this paper cites.
H. B. Meyer, Energy-momentum tensor correlators and spectral functions , JHEP 08
Original
2008
Earlier work this paper cites.
S. Caron-Huot, Asymptotics of thermal spectral functions , Phys. Rev. D79
Original
2009
Earlier work this paper cites.