On effective theory of superfluid phonons

Autor: Lasha Berezhiani
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Physics Letters B, Vol 805, Iss, Pp-(2020)
Physics Letters
Physics Letters B
ISSN: 0370-2693
Popis: It is shown that the standard effective field theory of non-relativistic superfluids, which includes only the leading order action in derivative expansion, is in general inadequate for studying supersonic processes. Namely, for a proper treatment of the latter the phonons with momenta greater than $mc_s$ are relevant at times (with $m$ being the mass of the superfluid constituent and $c_s$ denoting the sound-speed), which lie beyond the regime of validity of the naive effective theory mentioned above. This is demonstrated on a concrete example by recovering the known expression for the friction force as a process of radiating phonons by a supersonic perturber. In particular, when the impurity is heavier than superfluid constituents, it is indeed necessary to extend the non-relativistic effective theory of superfluids to include high-derivative corrections. For the light perturber, however, there is a window of velocities for which high-derivative corrections are irrelevant.
11 pages
Databáze: OpenAIRE