Universality in quantum liquids and the Lattice Field Theory problem*

Quantum gases with short-range interactions at ultralow temperature are usually ”universal”, in the

sense that details of interactions are irrelevant. This is the case thanks to a strong result due to

Dashen, Ma and Bernstein [1]. However, their results do not apply to quantum liquids. In this talk,

I will show that universality in quantum liquids is of a different nature [2], and that for continuum

liquids extreme care has to be taken when using non-renormalizable Lattice Field Theories for their

numerical characterization.

[1] S-matrix Formulation of Statistical Mechanics, R. Dashen, S.-K. Ma and H. J. Bernstein, Phys. Rev. 187, 345 (1972).

[2] Quantum liquids and droplets with low-energy interactions in one dimension, I. Morera, B.

Julia-Diaz and M. Valiente, Phys. Rev. Res. (to be published).