Processing math: 100%
Go to main content
Format
BibTeX
MARCXML
TextMARC
MARC
DataCite
DublinCore
EndNote
NLM
RefWorks
RIS

Files

Abstract

We prove that in (3+1)d quantum field theories with ZN symmetry, certain anomalies forbid a symmetry-preserving vacuum state with a gapped spectrum. In particular, this applies to discrete chiral symmetries which are frequently present in gauge theories as we illustrate in examples. Our results also constrain the long-distance behavior of certain condensed matter systems such as Weyl-semimetals and may have applications to crystallographic phases with symmetry protected topological order. These results may be viewed as analogs of the Lieb-Schultz-Mattis theorem for continuum field theories.

Details

Actions

PDF

from
to
Export
Download Full History