28 citations · 176 across the 28 of their papers we have counts for
28 papers
ERG Kernels on Multiply Connected Configuration Spaces
Satoshi Ohya, Taichi Tanaka
In the functional-integral formulation of Euclidean field theory, exact renormalization group (ERG) transformations are realized by functional-integral kernels. Unlike the ERG flow…
Quantum Walk on Orbit Spaces
Satoshi Ohya
Inspired by the covering-space method in path integral on multiply connected spaces, we here present a universal formula of time-evolution kernels for continuous- and discrete-time…
Efimov effect for two particles on a semi-infinite line
Satoshi Ohya
The Efimov effect (in a broad sense) refers to the onset of a geometric sequence of many-body bound states as a consequence of the breakdown of continuous scale invariance to discr…
Discrete Scale-Invariant Boson-Fermion Duality in One Dimension
Satoshi Ohya
We introduce models of one-dimensional -body problems that undergo phase transition from a continuous scale-invariant phase to a discrete scale-invariant phase. In this p…
A Generalization of the One-Dimensional Boson-Fermion Duality Through the Path-Integral Formalism
Satoshi Ohya
We study boson-fermion dualities in one-dimensional many-body problems of identical particles interacting only through two-body contacts. By using the path-integral formalism as we…
Models for the BPS Berry Connection
Satoshi Ohya
Motivated by the Nahm's construction, in this paper we present a systematic construction of Schrödinger Hamiltonians for a spin-1/2 particle where the Berry connection in the groun…