TY - JOUR

T1 - Cascading Multicriticality in Nonrelativistic Spontaneous Symmetry Breaking

AU - Griffin, Tom

AU - Grosvenor, Kevin John Torres

AU - Horava, Petr

AU - Yan, Ziqi

N1 - 5 pages, 1 figure

PY - 2015/7/24

Y1 - 2015/7/24

N2 - Without Lorentz invariance, spontaneous global symmetry breaking can lead to multicritical Nambu-Goldstone modes with a higher-order low-energy dispersion $\omega\sim k^n$ ($n=2,3,\ldots$), 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.

AB - Without Lorentz invariance, spontaneous global symmetry breaking can lead to multicritical Nambu-Goldstone modes with a higher-order low-energy dispersion $\omega\sim k^n$ ($n=2,3,\ldots$), 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.

KW - hep-th

KW - astro-ph.CO

KW - cond-mat.supr-con

KW - hep-ph

KW - math-ph

KW - math.MP

U2 - 10.1103/PhysRevLett.115.241601

DO - 10.1103/PhysRevLett.115.241601

M3 - Journal article

C2 - 26705623

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

ER -