title: Cascading Multicriticality in Nonrelativistic Spontaneous Symmetry Breaking.
abstract: Without Lorentz invariance, spontaneous global symmetry breaking can lead to multicritical Nambu-Goldstone modes with a higher-order low-energy dispersion ω∼k^{n} (n=2,3,…), whose naturalness is protected by polynomial shift symmetries. Here, we investigate the role of infrared divergences and the nonrelativistic generalization of the Coleman-Hohenberg-Mermin-Wagner (CHMW) theorem. We find novel cascading phenomena with large hierarchies between the scales at which the value of n changes, leading to an evasion of the "no-go" consequences of the relativistic CHMW theorem.
authors.affiliation: Blackett Laboratory, Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom.
authors.forename: Tom
authors.initials: T
authors.lastname: Griffin
authors.affiliation: Berkeley Center for Theoretical Physics and Department of Physics, University of California, Berkeley, California 94720-7300, USA.|Physics Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720-8162, USA.
authors.forename: Kevin T
authors.initials: KT
authors.lastname: Grosvenor
authors.affiliation: Berkeley Center for Theoretical Physics and Department of Physics, University of California, Berkeley, California 94720-7300, USA.|Physics Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720-8162, USA.
authors.forename: Petr
authors.initials: P
authors.lastname: Hořava
authors.affiliation: Berkeley Center for Theoretical Physics and Department of Physics, University of California, Berkeley, California 94720-7300, USA.|Physics Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720-8162, USA.
authors.forename: Ziqi
authors.initials: Z
authors.lastname: Yan