Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP12(2018)052
Keywords
Effective Field Theories; Global Symmetries; Conformal Field Theory
Categories
Funding
- Simons Center for Geometry and Physics, Stony Brook University
- Swiss National Science Foundation [pp00p2_157571/1]
- NCCR [51NF40 141869]
- Swiss National Science Foundation (SNF) [PP00P2_157571] Funding Source: Swiss National Science Foundation (SNF)
Ask authors/readers for more resources
In this note, we perform the large-charge expansion for non-relativistic systems with a global U(1) symmetry in 3 + 1 and 2 + 1 space-time dimensions, motivated by applications to the unitary Fermi gas and anyons. These systems do not have full conformal invariance, but are invariant under the Schrodinger group. Also here, the low-energy physics is encoded by a Goldstone boson which is due to the breaking of the global symmetry when fixing the charge. We find that in 2 + 1 dimensions and higher, there is a large-charge expansion in which quantum corrections are suppressed with respect to the next-to-leading order terms in the Lagrangian. We give the next-to-leading-order expressions for the ground state energy and the speed of sound.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available