Exact renormalization group for wave functionals

被引：2

作者：

Kuwahara, Takaaki ^{[1
,2
]}

Tanaka, Gota ^{[1
,2
]}

Tsuchiya, Asato ^{[1
,2
]}

Yamashiro, Kazushi ^{[1
,2
]}

机构：

[1] Shizuoka Univ, Dept Phys, 836 Ohya,Suruga Ku, Shizuoka 4228529, Japan

[2] Shizuoka Univ, Grad Sch Sci & Technol, 836 Ohya,Suruga Ku, Shizuoka 4228529, Japan

来源：

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS | 2023年 / 2023卷 / 03期

关键词：

ENTANGLEMENT ENTROPY; SCHRODINGER REPRESENTATION; LATTICE;

D O I：

10.1093/ptep/ptad029

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Motivated by the construction of continuum tensor networks for interacting field theories, which are relevant in understanding the emergence of space-time in the gauge/gravity correspondence, we derive a non-perturbative functional differential equation for wave functionals in scalar field theories from the exact renormalization group equation. We check the validity of the equation using the perturbation theory. We calculate the wave functional up to the first-order perturbation and verify that it satisfies the equation.

引用

页数：12

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