Symmetries and currents of the ideal and unitary Fermi gases

Details Symmetries and currents of the ideal and unitary Fermi gases Symmetries and currents of the ideal and unitary Fermi gases

2011-11-15

arxiv.org/abs/1111.3656v2

JHEP 1202:113, 2012

Physics

High Energy Physics

High Energy Physics - Theory

67 pages, 2 figures; references added, minor improvements in the presentation, version accepted for publication in JHEP

Scientific paper

10.1007/JHEP02(2012)113

The maximal algebra of symmetries of the free single-particle Schroedinger equation is determined and its relevance for the holographic duality in non-relativistic Fermi systems is investigated. This algebra of symmetries is an infinite dimensional extension of the Schroedinger algebra, it is isomorphic to the Weyl algebra of quantum observables, and it may be interpreted as a non-relativistic higher-spin algebra. The associated infinite collection of Noether currents bilinear in the fermions are derived from their relativistic counterparts via a light-like dimensional reduction. The minimal coupling of these currents to background sources is rewritten in a compact way by making use of Weyl quantisation. Pushing forward the similarities with the holographic correspondence between the minimal higher-spin gravity and the critical O(N) model, a putative bulk dual of the unitary and the ideal Fermi gases is discussed.

Affiliated with

Also associated with

No associations

Rating

Symmetries and currents of the ideal and unitary Fermi gases does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetries and currents of the ideal and unitary Fermi gases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetries and currents of the ideal and unitary Fermi gases will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-67610