English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we study gapless fermionic and bosonic systems in$d$-dimensional continuum space with $U(1)$ particle-number conservation and$\mathbb{R}^d$ translation symmetry. We write down low energy effective fieldtheories for several gapless phases where $U(1)\times \mathbb{R}^d$ is viewedas internal symmetry. The $U(1)\times \mathbb{R}^d$ symmetry, when viewed as aninternal symmetry, has a mixed anomaly, and the different effective fieldtheories for different phases must have the same mixed anomaly. Such a mixedanomaly is proportional to the particle number density, and can be measuredfrom the distribution of the total momentum $\boldsymbol{k}_\text{tot}$ for lowenergy many-body states (\ie how such a distribution is shifted by $U(1)$symmetry twist $\boldsymbol{a}$), as well as some other low energy universalproperties of the systems. In particular, we write down low energy effectivefield theory for Fermi liquid with infinite number of fields, in the presenceof both real space magnetic field and $\boldsymbol{k}$-space "magnetic" field.The effective field theory also captures the mixed anomaly, which constraintsthe low energy dynamics, such as determine the volume of Fermi surface (whichis another formulation of Luttinger-Ward-Oshikawa theorem).

Low energy effective field theories of fermion liquids and mixed $U(1)\times \mathbb{R}^d$ anomaly