108 citations · 1k across the 67 of their papers we have counts for
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Renormalization group theory of generalized multi-vertex sine-Gordon model
Takashi Yanagisawa
We investigate the renormalization group theory of generalized multi-vertex sine-Gordon model by employing the dimensional regularization method and also the Wilson renormalization…
Zero-energy modes, fractional fermion numbers and the index theorem in a vortex-Dirac fermion system
Takashi Yanagisawa
Physics of topological materials have attracted much attention from both physicists and mathematicians recently. The index and the fermion number of Dirac fermions play an importan…
Renormalization group analysis of the hyperbolic sine-Gordon model -- Asymptotic freedom from cosh interaction --
Takashi Yanagisawa
We present a renormalization group analysis for the hyperbolic sine-Gordon (sinh-Gordon) model in two dimensions. We derive the renormalization group equations based on the dimensi…
Nambu-Goldstone bosons characterized by the order parameter in spontaneous symmetry breaking
Takashi Yanagisawa
We present explicitly a relation between the Nambu-Goldstone boson and the order parameter in non-relativistic systems with spontaneous symmetry breaking. We show that the Nambu-Go…
Chiral sine-Gordon model
Takashi Yanagisawa
We investigate the chiral sine-Gordon model using the renormalization group method. The chiral sine-Gordon model is a model for -valued fields and describes a new class of phase…