53 citations · 91 across the 3 of their papers we have counts for
8 papers
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…
Valleys in Quantum Mechanics
Hideaki Aoyama, Hisashi Kikuchi, Ikuo Okouchi +2
Conventionally, perturbative and non-perturbative calculations are performed independently. In this paper, valleys in the configuration space in quantum mechanics are investigated…
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 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…