TY - JOUR
T1 - Spontaneous breaking of non-relativistic scale symmetry
AU - Arav, Igal
AU - Hason, Itamar
AU - Oz, Yaron
N1 - Publisher Copyright:
© 2017, The Author(s).
PY - 2017/10/1
Y1 - 2017/10/1
N2 - 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.
AB - 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.
KW - Anomalies in Field and String Theories
KW - Space-Time Symmetries
KW - Spontaneous Symmetry Breaking
UR - http://www.scopus.com/inward/record.url?scp=85031407242&partnerID=8YFLogxK
U2 - 10.1007/JHEP10(2017)063
DO - 10.1007/JHEP10(2017)063
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AN - SCOPUS:85031407242
SN - 1126-6708
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 10
M1 - 63
ER -