Communications in Theoretical Physics最新文献_第9页

Planar matrices and arrays of Feynman diagrams 平面矩阵和费曼图阵列

IF 3.1 3区物理与天体物理

Communications in Theoretical Physics Pub Date : 2024-02-29 DOI: 10.1088/1572-9494/ad102d

Freddy Cachazo, Alfredo Guevara, Bruno Umbert, Yong Zhang

{"title":"Planar matrices and arrays of Feynman diagrams","authors":"Freddy Cachazo, Alfredo Guevara, Bruno Umbert, Yong Zhang","doi":"10.1088/1572-9494/ad102d","DOIUrl":"https://doi.org/10.1088/1572-9494/ad102d","url":null,"abstract":"Recently, planar collections of Feynman diagrams were proposed by Borges and one of the authors as the natural generalization of Feynman diagrams for the computation of <italic toggle=\"yes\">k</italic> = 3 biadjoint amplitudes. Planar collections are one-dimensional arrays of metric trees satisfying an induced planarity and compatibility condition. In this work, we introduce planar matrices of Feynman diagrams as the objects that compute <italic toggle=\"yes\">k</italic> = 4 biadjoint amplitudes. These are symmetric matrices of metric trees satisfying compatibility conditions. We introduce two notions of combinatorial bootstrap techniques for finding collections from Feynman diagrams and matrices from collections. As applications of the first, we find all 693, 13 612 and 346 710 collections for (<italic toggle=\"yes\">k</italic>, <italic toggle=\"yes\">n</italic>) = (3, 7), (3, 8) and (3, 9), respectively. As applications of the second kind, we find all 90 608 and 30 659 424 planar matrices that compute (<italic toggle=\"yes\">k</italic>, <italic toggle=\"yes\">n</italic>) = (4, 8) and (4, 9) biadjoint amplitudes, respectively. As an example of the evaluation of matrices of Feynman diagrams, we present the complete form of the (4, 8) and (4, 9) biadjoint amplitudes. We also start a study of higher-dimensional arrays of Feynman diagrams, including the combinatorial version of the duality between (<italic toggle=\"yes\">k</italic>, <italic toggle=\"yes\">n</italic>) and (<italic toggle=\"yes\">n</italic> − <italic toggle=\"yes\">k</italic>, <italic toggle=\"yes\">n</italic>) objects.","PeriodicalId":10641,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140316811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence 以饱和发病率模拟 T 细胞与人类免疫缺陷病毒相互作用的动态行为

IF 3.1 3区物理与天体物理

Communications in Theoretical Physics Pub Date : 2024-02-29 DOI: 10.1088/1572-9494/ad2368

Salah Boulaaras, Rashid Jan, Amin Khan, Ali Allahem, Imtiaz Ahmad, Salma Bahramand

{"title":"Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence","authors":"Salah Boulaaras, Rashid Jan, Amin Khan, Ali Allahem, Imtiaz Ahmad, Salma Bahramand","doi":"10.1088/1572-9494/ad2368","DOIUrl":"https://doi.org/10.1088/1572-9494/ad2368","url":null,"abstract":"In the last forty years, the rise of HIV has undoubtedly become a major concern in the field of public health, imposing significant economic burdens on affected regions. Consequently, it becomes imperative to undertake comprehensive investigations into the mechanisms governing the dissemination of HIV within the human body. In this work, we have devised a mathematical model that elucidates the intricate interplay between CD4+ T-cells and viruses of HIV, employing the principles of fractional calculus. The production rate of CD4+ T-cells, like other immune cells depends on certain factors such as age, health status, and the presence of infections or diseases. Therefore, we incorporate a variable source term in the dynamics of HIV infection with a saturated incidence rate to enhance the precision of our findings. We introduce the fundamental concepts of fractional operators as a means of scrutinizing the proposed HIV model. To facilitate a deeper understanding of our system, we present an iterative scheme that elucidates the trajectories of the solution pathways of the system. We show the time series analysis of our model through numerical findings to conceptualize and understand the key factors of the system. In addition to this, we present the phase portrait and the oscillatory behavior of the system with the variation of different input parameters. This information can be utilized to predict the long-term behavior of the system, including whether it will converge to a steady state or exhibit periodic or chaotic oscillations.","PeriodicalId":10641,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140313590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The multi-impurity system in CdSe nanoplatelets: electronic structure and thermodynamic properties 碲化镉纳米片中的多纯度体系：电子结构和热力学性质

IF 3.1 3区物理与天体物理

Communications in Theoretical Physics Pub Date : 2024-02-29 DOI: 10.1088/1572-9494/ad236a

D A Baghdasaryan, V A Harutynyan, E M Kazaryan, H A Sarkisyan

{"title":"The multi-impurity system in CdSe nanoplatelets: electronic structure and thermodynamic properties","authors":"D A Baghdasaryan, V A Harutynyan, E M Kazaryan, H A Sarkisyan","doi":"10.1088/1572-9494/ad236a","DOIUrl":"https://doi.org/10.1088/1572-9494/ad236a","url":null,"abstract":"This paper theoretically studies the impurity states and the effects of impurity concentration and configuration on the optical, electrical, and statistical properties of CdSe nanoplatelets (NPLs). An image charge-based model of electron-impurity interaction is proposed. The charge-carrier energy spectra and corresponding wave functions depending on the impurity number and configuration are calculated. The electron binding energies are calculated for different NPL thicknesses. It is shown that the image charge-based interaction potential that arises due to the dielectric constants mismatch is much stronger than the interaction potential that does not take such a mismatch into account. Also, it is demonstrated that the binding energies are increasing with the number of impurities. We calculate the canonical partition function using the energy levels of the electron, which in turn is used to obtain the mean energy, heat capacity, and entropy of the non-interacting electron gas. The thermodynamic properties of the non-interacting electron gas that depend on the geometric parameters of the NPL, impurity number, configuration, and temperature are studied.","PeriodicalId":10641,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140316707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The electroweak monopole–antimonopole pair in the standard model 标准模型中的电弱单极子-反单极子对

IF 3.1 3区物理与天体物理

Communications in Theoretical Physics Pub Date : 2024-02-28 DOI: 10.1088/1572-9494/ad23dd

Dan Zhu, Khai-Ming Wong, Guo-Quan Wong

{"title":"The electroweak monopole–antimonopole pair in the standard model","authors":"Dan Zhu, Khai-Ming Wong, Guo-Quan Wong","doi":"10.1088/1572-9494/ad23dd","DOIUrl":"https://doi.org/10.1088/1572-9494/ad23dd","url":null,"abstract":"We present the first numerical solution that corresponds to a pair of Cho–Maison monopoles and antimonopoles (MAPs) in the SU(2) × U(1) Weinberg–Salam (WS) theory. The monopoles are finitely separated, while each pole carries a magnetic charge ±4<italic toggle=\"yes\">π</italic>/<italic toggle=\"yes\">e</italic>. The positive pole is situated in the upper hemisphere, whereas the negative pole is in the lower hemisphere. The Cho–Maison MAP is investigated for a range of Weinberg angles, <inline-formula>\u0000<tex-math>\u0000<?CDATA $0.4675leqslant tan {theta }_{{rm{W}}}leqslant 10$?>\u0000</tex-math>\u0000<mml:math overflow=\"scroll\"><mml:mn>0.4675</mml:mn><mml:mo>≤</mml:mo><mml:mi>tan</mml:mi><mml:msub><mml:mrow><mml:mi>θ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">W</mml:mi></mml:mrow></mml:msub><mml:mo>≤</mml:mo><mml:mn>10</mml:mn></mml:math>\u0000<inline-graphic xlink:href=\"ctpad23ddieqn1.gif\" xlink:type=\"simple\"></inline-graphic>\u0000</inline-formula>, and Higgs self-coupling, 0 ≤ <italic toggle=\"yes\">β</italic> ≤ 1.7704. The magnetic dipole moment (<italic toggle=\"yes\">μ</italic>\u0000m) and pole separation (<italic toggle=\"yes\">d</italic>\u0000\u0000<italic toggle=\"yes\">z</italic>\u0000) of the numerical solutions are calculated and analyzed. The total energy of the system, however, is infinite due to point singularities at the locations of monopoles.","PeriodicalId":10641,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140004033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Rogue wave solutions and rogue-breather solutions to the focusing nonlinear Schrödinger equation 聚焦非线性薛定谔方程的流氓波解和流氓呼吸解

IF 3.1 3区物理与天体物理

Communications in Theoretical Physics Pub Date : 2024-02-27 DOI: 10.1088/1572-9494/ad23d1

Si-Jia Chen, Xing Lü

引用次数: 0

Nonlocal symmetries, soliton-cnoidal wave solution and soliton molecules to a (2+1)-dimensional modified KdV system 非局部对称性、孤子-回旋波解法和（2+1）维修正 KdV 系统的孤子分子

IF 3.1 3区物理与天体物理

Communications in Theoretical Physics Pub Date : 2024-02-19 DOI: 10.1088/1572-9494/ad2a67

Jianyong Wang, Bo Ren

引用次数: 0

Conserved vectors and symmetry solutions of the Landau-Ginzburg-Higgs equation of theoretical physics 理论物理朗道-金兹堡-希格斯方程的守恒向量和对称解

IF 3.1 3区物理与天体物理

Communications in Theoretical Physics Pub Date : 2024-02-19 DOI: 10.1088/1572-9494/ad2a63

C. M. Khalique, Mduduzi Yolane Thabo Lephoko

{"title":"Conserved vectors and symmetry solutions of the Landau-Ginzburg-Higgs equation of theoretical physics","authors":"C. M. Khalique, Mduduzi Yolane Thabo Lephoko","doi":"10.1088/1572-9494/ad2a63","DOIUrl":"https://doi.org/10.1088/1572-9494/ad2a63","url":null,"abstract":"\u0000 This paper is devoted to the investigation of the Landau-Ginzburg-Higgs equation (LGHe), which serves as a mathematical model to understand phenomena such as superconductivity and cyclotron waves. The LGHe finds applications in various scientific fields, including fluid dynamics, plasma physics, biological systems, and electricity-electronics. The study adopts Lie symmetry analysis as the primary framework for exploration. This analysis involves the identification of Lie point symmetries that are admitted by the differential equation. By leveraging these Lie point symmetries, symmetry reductions are performed, leading to the discovery of group invariant solutions. To obtain explicit solutions, several mathematical methods are applied, including Kudryashov's method, the extended Jacobi elliptic function expansion method, the power series method, and the simplest equation method. These methods yield solutions characterized by exponential, hyperbolic, and elliptic functions. The obtained solutions are visually represented through 3D, 2D, and density plots, which effectively illustrate the nature of the solutions. These plots depict various patterns such as kink-shaped, singular kink-shaped, bell-shaped, and periodic solutions. Finally, the paper employs the multiplier method and the conservation theorem introduced by Ibragimov to derive conserved vectors. These conserved vectors play a crucial role in studying physical quantities, such as the conservation of energy and momentum, and contribute to the understanding of the underlying physics of the system.","PeriodicalId":10641,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139958813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Thermodynamic geometry of the RN-AdS black hole and non-local observables RN-AdS 黑洞的热力学几何和非局部观测值

IF 3.1 3区物理与天体物理

Communications in Theoretical Physics Pub Date : 2024-02-12 DOI: 10.1088/1572-9494/ad1cde

Chao Wang, Bin Wu, Zhen-Ming Xu, Wen-Li Yang

引用次数: 0

Phase diagram of muonium hydride: the significant effect of dimensionality 氢化μ铵的相图：尺寸的显著影响

IF 3.1 3区物理与天体物理

Communications in Theoretical Physics Pub Date : 2024-01-11 DOI: 10.1088/1572-9494/ad1d50

Jieru Hu, Massimo Boninsegni

引用次数: 0

Mott Insulator-Density Ordered Superfluid Transition and “Shamrock Transition” in a Frustrated Triangle Lattice 受挫三角晶格中的莫特绝缘体-密度有序超流体转移和 "三叶草转变

3区物理与天体物理

Communications in Theoretical Physics Pub Date : 2024-01-08 DOI: 10.1088/1572-9494/ad1bd9

Yu Chen, Ce Wang

引用次数: 0