National Institute of Technology, Kisarazu College

output

20102022

most citedIR finite S-matrix by gauge invariant dressed states

19 citations

8 papers

hep-th2022★ 6 cited

Dress code for infrared safe scattering in QED

Hayato Hirai, Sotaro Sugishita

We study the $S$ -matrix and inclusive cross-section for general dressed states in quantum electrodynamics. We obtain an infrared factorization formula of the $S$ -matrix elements fo…

hep-th2020★ 19 cited

IR finite S-matrix by gauge invariant dressed states

Hayato Hirai, Sotaro Sugishita

Dressed states were proposed to define the infrared (IR) finite $S$ -matrix in QED or gravity. We show that the original Kulish-Faddeev dressed states are not enough to cure the IR…

math.FA2019

Functions preserving operator means

Trung Hoa Dinh, Hiroyuki Osaka, Shuhei Wada

Let $σ$ be a non-trivial operator mean in the sense of Kubo and Ando, and let $O M_{+}^{1}$ the set of normalized positive operator monotone functions on $(0, \infty)$ . In this paper, w…

math.FA2019

Ando-Hiai type inequalities for operator means and operator perspectives

Fumio Hiai, Yuki Seo, Shuhei Wada

We improve the existing Ando-Hiai inequalities for operator means and present new ones for operator perspectives in several ways. We also provide the operator perspective version o…

math.FA2019★ 2 cited

Geometric convexity of an operator mean

Shuhei Wada

Let $σ$ be an operator mean in the sense of Kubo and Ando. If the representation function $f$ of $σ$ satisfies $f_{σ} (t)^{p} \leq f_{σ} (t^{p}) for all p > 1,$ then the operator mean i…

math.FA2014★ 4 cited

Operator monotonicity of some functions

Masaru Nagisa, Shuhei Wada

We investigate the operator monotonicity of functions which was considered by V.E. Szabo.