Renormalization in Quantum Brain Dynamics

被引:2
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
收藏
页码:117 / 146
页数:30
相关论文
共 62 条
[41]   Non-Equilibrium φ4 Theory in a Hierarchy: Towards Manipulating Holograms in Quantum Brain Dynamics [J].
Nishiyama, Akihiro ;
Tanaka, Shigenori ;
Tuszynski, Jack A. .
DYNAMICS, 2023, 3 (01) :1-17
[42]   Non-equilibrium Quantum Brain Dynamics II: Formulation in 3+1 dimensions [J].
Nishiyama, Akihiro ;
Tanaka, Shigenori ;
Tuszynski, Jack A. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2021, 567
[43]  
Peskin M. E., 1995, An Introduction to Quantum Field Theory.
[44]  
Pockett S., 2013, Scholarpedia, V8, P4951, DOI [10.4249/scholarpedia.4951, DOI 10.4249/SCHOLARPEDIA.4951]
[45]   A quantum probability explanation for violations of 'rational' decision theory [J].
Pothos, Emmanuel M. ;
Busemeyer, Jerome R. .
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 2009, 276 (1665) :2171-2178
[46]  
Pribram K.H., 1971, Yazyki Mozga. Eksperimental'nye Paradoksy i Printsipy Neiropsikhologii, V5th ed.
[47]  
Pribram KH., 1991, BRAIN PERCEPTION HOL
[48]   Temperature dependence analysis of the NIR spectra of liquid water confirms the existence of two phases, one of which is in a coherent state [J].
Renati, Paolo ;
Kovacs, Zoltan ;
De Ninno, Antonella ;
Tsenkova, Roumiana .
JOURNAL OF MOLECULAR LIQUIDS, 2019, 292
[49]   BRAIN AND PHYSICS OF MANY-BODY PROBLEMS [J].
RICCIARD.M ;
UMEZAWA, H .
KYBERNETIK, 1967, 4 (02) :44-44
[50]   Entanglement and Phase-Mediated Correlations in Quantum Field Theory. Application to Brain-Mind States [J].
Sabbadini, Shantena A. ;
Vitiello, Giuseppe .
APPLIED SCIENCES-BASEL, 2019, 9 (15)