Spontaneous breaking of non-relativistic scale symmetry

Igal Arav, Itamar Hason*, Yaron Oz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We analyze the mechanism of spontaneous symmetry breaking of scale invariance in Galilean invariant field theories. We show that the existence of a dynamic gapless dilaton mode depends on whether the U(1) particle number or the Galilean boost symmetry are spontaneously broken. When both scale and particle number symmetries are spontaneously broken there is one propagating gapless Nambu-Goldstone mode. Its dispersion relation is linear if the chemical potential is nonzero and quadratic otherwise. We discuss the reversibility of RG flows in such theories.

Original languageEnglish
Article number63
JournalJournal of High Energy Physics
Issue number10
StatePublished - 1 Oct 2017


FundersFunder number
Alexander Zaks Scholarship
ISF Center of Excellence
US-Israel Binational Science Foundation
German-Israeli Foundation for Scientific Research and Development
Planning and Budgeting Committee of the Council for Higher Education of Israel1937/12


    • Anomalies in Field and String Theories
    • Space-Time Symmetries
    • Spontaneous Symmetry Breaking


    Dive into the research topics of 'Spontaneous breaking of non-relativistic scale symmetry'. Together they form a unique fingerprint.

    Cite this