The large-charge expansion for Schrodinger systems

被引：24

作者：

Favrod, Samuel ^{[1
]}

Orlando, Domenico ^{[2
,3
]}

Reffert, Susanne ^{[3
]}

机构：

[1] Swiss Fed Inst Technol, Inst Theoret Phys, CH-8093 Zurich, Switzerland

[2] INFN Sez Torino, Arnold Regge Ctr, Via Pietro Giuria 1, I-10125 Turin, Italy

[3] Univ Bern, Inst Theoret Phys, Albert Einstein Ctr Fundamental Phys, Sidlerstr 5, CH-3012 Bern, Switzerland

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 12期

基金：

瑞士国家科学基金会;

关键词：

Effective Field Theories; Global Symmetries; Conformal Field Theory;

D O I：

10.1007/JHEP12(2018)052

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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.

引用

页数：19

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