Journal
PHYSICAL REVIEW D
Volume 105, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.105.125018
Keywords
-
Funding
- Swiss National Science Foundation [200021 192137]
- Swiss National Science Foundation (SNF) [200021_192137] Funding Source: Swiss National Science Foundation (SNF)
Ask authors/readers for more resources
In this paper, we extend and clarify the large-charge expansion of the conformal dimension Delta Q of the lowest operator of charge Q in nonrelativistic conformal field theories. By systematically analyzing the degree of divergence of operators in the effective action, we show that there always exist appropriate edge counterterms that make the final contributions to Delta(Q) finite. This result is significant for the Thomas-Fermi approximation in ultracold atom physics.
We extend and clarify the large-charge expansion of the conformal dimension Delta Q of the lowest operator of charge Q in nonrelativistic conformal field theories using the state-operator correspondence. The latter requires coupling the theory to an external harmonic trap that confines the particles to a spherical cloud, at the edge of which the effective theory breaks down and leads to divergences. Only recently has this issue been overcome by constructing appropriate counterterms at the edge of the cloud [S. Hellerman and I. Swanson, arXiv:2010.07967]. In this paper, we extend these results by systematically analyzing the degree of divergence of operators in the effective action and show that there always exist appropriate edge counterterms that make the final contributions to Delta(Q) finite. On the other side of the correspondence, this also provides new corrections to the Thomas-Fermi approximation of the unitary Fermi gas, and we comment on their relevance for ultracold atom physics.
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