Abstract
We consider the canonical quantization of an ordinary fluid. The resulting long-distance effective field theory is derivatively coupled, and therefore strongly coupled in the UV. The system however exhibits a number of peculiarities, associated with the vortex degrees of freedom. On the one hand, these have formally a vanishing strong-coupling energy scale, thus suggesting that the effective theory’s regime of validity is vanishingly narrow. On the other hand, we prove an analog of Coleman’s theorem, whereby the semiclassical vacuum has no quantum counterpart, thus suggesting that the vortex premature strong-coupling phenomenon stems from a bad identification of the ground state and of the perturbative degrees of freedom. Finally, vortices break the usual connection between short distances and high energies, thus potentially impairing the unitarity of the effective theory.
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References
E.M. Lifshitz and L.P. Pitaevskii, Statistical physics. Part 2: Theory of the condensed state, Butterworth-Heinemann, Oxford U.K. (1980).
D. Nickel and D.T. Son, Deconstructing holographic liquids, arXiv:1009.3094 [SPIRES].
M. Edalati, J.I. Jottar and R.G. Leigh, Transport Coefficients at Zero Temperature from Extremal Black Holes, JHEP 01 (2010) 018 [arXiv:0910.0645] [SPIRES].
S. Weinberg, Gravitation and Cosmology, John Wiley & Sons, New York U.S.A. (1972).
S. Dubovsky, T. Gregoire, A. Nicolis and R. Rattazzi, Null energy condition and superluminal propagation, JHEP 03 (2006) 025 [hep-th/0512260] [SPIRES].
N. Arkani-Hamed, H.-C. Cheng, M.A. Luty and S. Mukohyama, Ghost condensation and a consistent infrared modification of gravity, JHEP 05 (2004) 074 [hep-th/0312099] [SPIRES].
M.E. Peskin and D.V. Schroeder, An introduction to quantum field theory, Addison-Wesley, Reading U.S.A. (1995) [SPIRES].
S.R. Coleman, There are no Goldstone bosons in two-dimensions, Commun. Math. Phys. 31 (1973) 259 [SPIRES].
E. Witten, Chiral Symmetry, the 1/n Expansion and the SU(N) Thirring Model, Nucl. Phys. B 145 (1978) 110 [SPIRES].
S. Dubovsky and S. Sibiryakov, Superluminal Travel Made Possible (in two dimensions), JHEP 12 (2008) 092 [arXiv:0806.1534] [SPIRES].
P. Kovtun, D.T. Son and A.O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94 (2005) 111601 [hep-th/0405231] [SPIRES].
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ArXiv ePrint: 1011.6396
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Endlich, S., Nicolis, A., Rattazzi, R. et al. The quantum mechanics of perfect fluids. J. High Energ. Phys. 2011, 102 (2011). https://doi.org/10.1007/JHEP04(2011)102
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DOI: https://doi.org/10.1007/JHEP04(2011)102