Renormalization in Quantum Brain Dynamics

被引：3

作者：

Nishiyama, Akihiro ^{[1
]}

Tanaka, Shigenori ^{[1
]}

Tuszynski, Jack A. ^{[2
,3
,4
]}

机构：

[1] Kobe Univ, Grad Sch Syst Informat, 1-1 Rokkodai Cho,Nada Ku, Kobe 6578501, Japan

[2] Univ Alberta, Cross Canc Inst, Dept Oncol, Edmonton, AB T6G 1Z2, Canada

[3] Univ Alberta, Dept Phys, Edmonton, AB T6G 2J1, Canada

[4] Politecn Torino, Dept Mech & Aerosp Engn, Corso Duca Abruzzi 24, I-10129 Turin, Italy

来源：

APPLIEDMATH | 2023年 / 3卷 / 01期

关键词：

Quantum Brain Dynamics; Quantum Field Theory; renormalization; THEORETICAL APPROACH; CONDENSATION; MICROTUBULES; COHERENCE; BEHAVIOR; MEMORY; FIELDS;

D O I：

10.3390/appliedmath3010009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show renormalization in Quantum Brain Dynamics (QBD) in 3+1 dimensions, namely Quantum Electrodynamics with water rotational dipole fields. First, we introduce the Lagrangian density for QBD involving terms of water rotational dipole fields, photon fields and their interactions. Next, we show Feynman diagrams with 1-loop self-energy and vertex function in dipole coupling expansion in QBD. The counter-terms are derived from the coupling expansion of the water dipole moment. Our approach will be applied to numerical simulations of Kadanoff-Baym equations for water dipoles and photons to describe the breakdown of the rotational symmetry of dipoles, namely memory formation processes. It will also be extended to the renormalization group method for QBD with running parameters in multi-scales.

引用

页码：117 / 146

页数：30