53 citations · 207 across the 14 of their papers we have counts for
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The Fermion Determinant, its Modulus and Phase
H. Kikuchi
We consider path integration of a fermionic oscillator with a one-parameter family of boundary conditions with respect to the time coordinate. The dependence of the fermion determi…
Fermion Determinant Calculus
H. Kikuchi
The path-integral of the fermionic oscillator with a time-dependent frequency is analyzed. We give the exact relation between the boundary condition to define the domain in which t…
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…
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…
Chiral phase dependence of fermion partition function in two dimension
Hisashi Kikuchi
The chiral phase dependence of fermion partition function in spherically symmetric U(1) gauge field background is analyzed in two dimensional space-time. A well-defined method to c…