Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-11-29
JHEP 04 (2011) 102
Physics
High Energy Physics
High Energy Physics - Theory
35 pages
Scientific paper
10.1007/JHEP04(2011)102
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.
Endlich Solomon
Nicolis Alberto
Rattazzi Riccardo
Wang Junpu
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