387 citations · 1.1k across the 37 of their papers we have counts for
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Correspondence of topological classification between quantum graph extra dimension and topological matter
Tomonori Inoue, Makoto Sakamoto, Masatoshi Sato +1
In this paper, we study five-dimensional Dirac fermions of which extra-dimension is compactified on quantum graphs. We find that there is a non-trivial correspondence between matri…
Nonperturbative Aspects in N-fold Supersymmetry
Toshiaki Tanaka, Masatoshi Sato
Through a nonperturbative analysis on a sextic triple-well potential, we reveal novel aspects of the dynamical property of the system in connection with N-fold supersymmetry and qu…
N-fold Supersymmetry in Quantum Mechanics - Analyses of Particular Models -
Masatoshi Sato, Toshiaki Tanaka
We investigate particular models which can be N-fold supersymmetric at specific values of a parameter in the Hamiltonians. The models to be investigated are a periodic potential an…
Classification of Type A N-fold supersymmetry
Hideaki Aoyama, Noriko Nakayama, Masatoshi Sato +1
Type A N-fold supersymmetry of one-dimensional quantum mechanics can be constructed by using sl(2) generators represented on a finite dimensional functional space. Using this sl(2)…
sl(2) Construction of Type A N-fold supersymmetry
Hideaki Aoyama, Noriko Nakayama, Masatoshi Sato +1
N-fold supersymmetry is an extension of the ordinary supersymmetry in one-dimensional quantum mechanics. One of its major property is quasi-solvability, which means that energy eig…
Valley Views: Instantons, Large Order Behaviors, and Supersymmetry
Hideaki Aoyama, Hisashi Kikuchi, Ikuo Okouchi +2
The elucidation of the properties of the instantons in the topologically trivial sector has been a long-standing puzzle. Here we claim that the properties can be summarized in term…
Recent Developments in the Theory of Tunneling
Hideaki Aoyama, Toshiyuki Harano, Hisashi Kikuchi +3
Path-integral approach in imaginary and complex time has been proven successful in treating the tunneling phenomena in quantum mechanics and quantum field theories. Latest developm…
Multi-instanton calculus versus exact results in N=2 supersymmetric QCD
Toshiyuki Harano, Masatoshi Sato
Microscopic tests of the exact results are performed in supersymmetric QCD. We present the complete construction of the multi-instanton in supersymmetric QCD. A…
Multi-instanton calculus in N=2 supersymmetric QCD
Hideaki Aoyama, Toshiyuki Harano, Masatoshi Sato +1
Microscopic tests of the exact results are performed in N=2 SU(2) supersymmetric QCD. We construct the multi-instanton solution in N=2 supersymmetric QCD and calculate the two-inst…
Fake Instability in the Euclidean Formalism
Hideaki Aoyama, Toshiyuki Harano, Hisashi Kikuchi +2
We study the path-integral formalism in the imaginary-time to show its validity in a case with a metastable ground state. The well-known method based on the bounce solution leads t…
Valley Instanton versus Constrained Instanton
Hideaki Aoyama, Toshiyuki Harano, Masatoshi Sato +1
Based on the new valley equation, we propose the most plausible method for constructing instanton-like configurations in the theory where the presence of a mass scale prevents the…
Valley Instanton in the Gauge-Higgs System
Hideaki Aoyama, Toshiyuki Harano, Masatoshi Sato +1
The instanton configuration in the SU(2)-gauge system with a Higgs doublet is constructed by using the new valley method. This method defines the configuration by an extension of t…
"Topological" Formulation of Effective Vortex Strings
Masatoshi Sato, Shigeaki Yahikozawa
We present a ``topological'' formulation of arbitrarily shaped vortex strings in four dimensional field theory. By using a large Higgs mass expansion, we then evaluate the effectiv…