TY - JOUR
T1 - Theory of Spontaneous Symmetry Breaking and an Application to Superconductivity: Nambu-Goldstone and Higgs Excitation Modes
AU - Takashi Yanagisawa
JO - Communications in Computational Physics
VL - 2
SP - 459
EP - 475
PY - 2018
DA - 2018/02
SN - 23
DO - http://doi.org/10.4208/cicp.OA-2017-0057
UR - https://global-sci.org/intro/article_detail/cicp/10533.html
KW - Spontaneous symmetry breaking, Lie algebra, Nambu-Goldstone boson, Higgs boson, Ward-Takahashi identity, superconductivity, multi-band superconductor.
AB - <p style="text-align: justify;">We present a general framework of the theory of spontaneous symmetry
breaking in non-relativistic systems. We discuss a spontaneous symmetry breaking in
a system with general global symmetry given by a Lie group G. The Nambu-Goldstone
boson and Higgs boson are represented explicitly by local fields by means of the basis
of the Lie algebra of G. An application to superconductivity is discussed. We evaluate
the Green&#39;s functions of the Nambu-Goldstone and Higgs bosons in superconductors.
We show that the Nambu-Goldstone and Higgs modes exhibit interesting behaviors in
multi-component superconductors.</p>