39 citations · 135 across the 11 of their papers we have counts for
11 papers
Multivariate binary probability distribution in the Grassmann formalism
Takashi Arai
We propose a probability distribution for multivariate binary random variables. The probability distribution is expressed as principal minors of the parameter matrix, which is a ma…
A new Granger causality measure for eliminating the confounding influence of latent common inputs
Takashi Arai
In this paper, we propose a new Granger causality measure which is robust against the confounding influence of latent common inputs. This measure is inspired by partial Granger cau…
Analysing supersymmetric transformed -nucleus potentials with electric-multipole transitions
T. Arai, W. Horiuchi, D. Baye
Alpha(He)-cluster models have often been used to describe light nuclei. Towards the application to multi-cluster systems involving heavy clusters, we study the relative wave…
Compositeness of baryonic resonances: Applications to the Delta(1232), N(1535), and N(1650) resonances
Takayasu Sekihara, Takashi Arai, Junko Yamagata-Sekihara +1
We present a formulation of the compositeness for baryonic resonances in order to discuss the meson-baryon molecular structure inside the resonances. For this purpose, we derive a…
Compositeness of the Delta(1232) resonance in pi N scattering
Takayasu Sekihara, Takashi Arai, Junko Yamagata-Sekihara +1
We evaluate the compositeness of the resonance so as to clarify the internal structure of in terms of the component. Here the compositeness is defined…
Path integral representation for stochastic jump processes with boundaries
Takashi Arai
We propose a formalism to analyze discrete stochastic processes with finite-state-level N. By using an (N+1)-dimensional representation of su(2) Lie algebra, we re-express the mast…
Euler-Heisenberg-Weiss action for QCD+QED
Sho Ozaki, Takashi Arai, Koichi Hattori +1
We derive an analytic expression for one-loop effective action of QCD+QED at zero and finite temperatures by using the Schwinger's proper time method. The result is a nonlinear eff…
Momentum spectra of particles produced in a single pulse of an electric field
Takashi Arai
We study particle creation in a single pulse of an electric field in scalar quantum electrodynamics. We first identify parameter regions of the theory where the dynamical pair crea…
Effective potential and Goldstone bosons in de Sitter space
Takashi Arai
We investigate nonperturbative infrared effects for the O(N) linear sigma model in de Sitter space using the two-particle irreducible effective action at the Hartree truncation lev…
Renormalization of the 2PI Hartree-Fock approximation on de Sitter background in the broken phase
Takashi Arai
The infrared effects for light minimally coupled scalar fields with quartic self-interaction in de Sitter space is investigated using the 2PI effective action formalism. This forma…
Nonperturbative infrared effects for light scalar fields in de Sitter space
Takashi Arai
We study the phi^4 scalar field theory in de Sitter space using the 2PI effective action formalism. This formalism enables us to investigate the nonperturbative quantum effects. We…