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renormalization of Multiple q-Zeta Values

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Acta Mathematica Sinica,English Series 2008年第10期24卷 1593-1616页

作者： Jianqiang ZHAO Department of Mathematics Eckerd College St. Petersburg FL 33711

In this paper, we shall define the renormalization of the multiple q-zeta values （MqZV） which are special values of multiple q-zeta functions ζq （s1,..., Sd） when the arguments are all positive integers or all non-positive integers. This generalizes the work of Guo and Zhang （renormalization of Multiple Zeta Values, arxiv： math/0606076v3）. We show that our renormalization process produces the same values if the MqZVs are well-defined originally and that these renormalizations of MqZV satisfy the q-stuffle relations if we use shifted-renormalizations for all divergent ζq（S1,..., sd）（i.e., s1 ≤ 1）. Moreover, when q ↑ 1 our renormalizations agree with those of Guo and Zhang.

关键词： renormalization regularization multiple (q-)zeta values stuffle relations shifting principle tailored power series

renormalization of one-pion exchange in higher partial waves in chiral effective field theory for antinucleon-nucleon system

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Chinese Physics C 2023年第3期47卷 154-168页

作者：周大任 School of Electrical and Computer Engineering Nanfang CollegeGuangzhouGuangdong 510970China

The renormalization of the iterated onepion exchange(OPE)has been studied in chiral effective field theory(χEFT)for the antinucleon-nucleon(NN)scattering in some partial waves(***.C 105,054005(2022)).In this paper,we go further for the other higher partial waves but with total angular momenta J≤*** interactions are represented by a complex spherical well in the coordinate *** the radius of the spherical well means changing the *** check the cutoff dependence of the phase shifts,inelasticities,and mixing angles for the partial waves and show that contact interactions are needed at leading order in channels where the singular tensor potentials of OPE are *** results are compared with the energy-dependent partial-wave analysis of NN scattering *** between our conclusions and applications of χEFT to the nucleon-nuc-leon system are also discussed.

关键词： renormalization chiral effective field theory antinucleon-nucleon scattering

renormalization of the g-Boson Effects for Os Isotopes

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Chinese journal of nuclear physics 1996年第3期18卷 160-164页

作者： Zhang, Zhanjun Liu, Yong Sang, Jianping Huazhong Normal Univ Wuhan China

A modified renormalization approach based on that proposed by Druce et *** *** over-all agreement between the spectra calculated here and the accurate spectra is significantly *** also useDurce’s approach to generate the renormalized *** is shown that in our microscopic study,both of the ap-proaches are very useful to the determination of several free parameters of fermion residual interactions.

关键词： renormalization of g-boson effects Dyson boson mapping Os isotope

Dynamics of exciton energy renormalization in monolayer transition metal disulfides

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Nano Research 2020年第5期13卷 1399-1405页

作者： Jiaxin Zhao Weijie Zhao Wei Du Rui Su Qihua Xiong Division of Physics and Applied Physics School of Physical and Mathematical SciencesNanyang Technological UniversitySingapore 637371Singapore State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics Tsinghua UniversityBeijing 100084China

Fundamental understandings on the dynamics of charge carriers and excitonic quasiparticles in semiconductors are of central importance for both many-body physics and promising optoelectronic and photonic ***,we investigated the carrier dynamics and many-body interactions in two-dimensional(2D)transition metal dichalcogenides(TMDs),using monolayer WS2 as an example,by employing femtosecond broadband pump-probe *** time regimes for the exciton energy renormalization are unambiguously revealed with a distinct red-blue-red shift upon above-bandgap optical *** attribute the dominant physical process in the three typical regimes to free carrier screening effect,Coulombic exciton-exciton interactions and Auger photocarrier generation,respectively,which show distinct dependence on the optical excitation wavelength,pump fluences and/or lattice *** intrinsic exciton radiative lifetime of about 1.2 picoseconds(ps)in monolayer WS2 is unraveled at low temperature,and surprisingly the efficient Auger nonradiative decay of both bright and dark excitons puts the system in a nonequilibrium state at the nanosecond *** addition,the dynamics of trions at low temperature is observed to be significantly different from that of excitons,e.g.,a long radiative lifetime of^108.7 ps at low excitation densities and the evolution of trion energy as a function of delay *** findings elucidate the dynamics of excitonic quasiparticles and the intricate many-body physics in 2D semiconductors,underpinning the future development of photonics,valleytronics and optoelectronics based on 2D semiconductors.

关键词： transitional metal disulfide exciton dynamics renormalization transient absorption spectroscopy carrier screening effect exciton-exciton interactions

QCD One-Loop Effective Coupling Constant and Quark Mass Given in a Mass-Dependent renormalization

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Communications in Theoretical Physics 2001年第12期36卷 665-672页

作者： SU Jun-Chen SHAN Lian-You CAO Ying-Hui Center for Theoretical Physics Department of Physics Jilin University Changchun 130023 China Center for Theoretical Physics Department of Physics Jilin University Changchun 130023 China Center for Theoretical Physics Department of Physics Jilin University Changchun 130023 China

The QCD one-loop renormalization is restudied in a mass-dependent subtraction scheme in which the quark mass is not set to vanish and the renormalization point is chosen to be an arbitrary time-like momentum. The correctness of the subtraction is ensured by the Ward identities which are respected in all the processes of *** considering the mass effect, the effective coupling constant and the effective quark masses derived by solving the renormalization group equations are given in improved expressions which are different from the previous *** numbers: ***, ***, 12.38.-t, 12.38.

关键词： QCD renormalization, mass-dependent subtraction, time-like renormalization point, effective cou pling constant and quark mass, exact one-loop results

Monte Carlo renormalization Group Method to Study the First-Order Phase Transition in the Complex Ferromagnet

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Chinese Physics Letters 2015年第12期32卷 5-8页

作者：孟庆宽冯东太高绪团 School of Science Shandong University of Technology

An improved Monte Carlo renormalization group method is established. Based on a new model, as well as the generalized G1auber dynamics, the first-order phase transition is studied in the Erd6s-Rgnyi network, which is used to represent the complex ferromagnet. Both static and dynamic critical exponents can be evaluated simultaneously, and the static critical exponents are evaluated to be independent of the dimension of the system. Thus by using the hyperscaling relation vd＊ = 2 - ~, the effective dimension d＊ of complex networks can be found.

关键词： Monte Carlo renormalization

Predominance of non-adiabatic effects in zero-point renormalization of the electronic band gap

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npj Computational Materials 2020年第1期6卷 297-304页

作者： Anna Miglio Véronique Brousseau-Couture Emile Godbout Gabriel Antonius Yang-Hao Chan Steven G.Louie Michel Côté Matteo Giantomassi Xavier Gonze Institute of Condensed Matter and Nanosciences UCLouvainB-1348 Louvain-la-NeuveBelgium Département de Physique et Regroupement Québécois sur les Matériaux de Pointe Universitéde MontrealC.P.6128Succursale Centre-VilleMontréal H3C 3J7Canada Department of Physics University of California at BerkeleyBerkeleyCA 94720USA Materials Sciences Division Lawrence Berkeley National LaboratoryBerkeleyCA 94720USA Département de Chimie Biochimie et PhysiqueInstitut de recherche sur l’hydrogèneUniversitédu QuébecàTrois-RivièresTrois-Rivières G8Z 4M3Canada Skolkovo Institute of Science and Technology Skolkovo Innovation CenterNobel St.3Moscow 143026Russia

Electronic and optical properties of materials are affected by atomic motion through the electron–phonon interaction:not only band gaps change with temperature,but even at absolute zero temperature,zero-point motion causes band-gap *** present a large-scale first-principles evaluation of the zero-point renormalization of band edges beyond the adiabatic *** materials with light elements,the band gap renormalization is often larger than 0.3 eV,and up to 0.7 *** effect cannot be ignored if accurate band gaps are *** infrared-active materials,global agreement with available experimental data is obtained only when non-adiabatic effects are taken into *** even dominate zero-point renormalization for many materials,as shown by a generalized Fröhlich model that includes multiple phonon branches,anisotropic and degenerate electronic extrema,whose range of validity is established by comparison with first-principles results.

关键词： adiabatic renormalization phonon

λφ~4 model and Higgs mass in standard model calculated by Gaussian effective potential approach with a new regularization-renormalization method

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Science China Mathematics 1998年第11期41卷 1206-1215页

作者：倪光炯楼森岳卢文发杨继锋 Department of Physics Fudan University Shanghai China Institute of Modern Physics Ningbo University Ningbo China

Based on a new regularization-renormalization method, the λφ4 model used in standard model (SM) is studied both perturbatively and nonperturbatively by Gaussian effective potential (GEP). The invariant property of two mass scales is stressed and the existence of a (Landau) pole is emphasized. Then after coupling with theSU(2) ×U(1) gauge fields, the Higgs mass in standard model (SM) can be calculated to bem H≈138 GeV. The critical temperature (T c ) for restoration of symmetry of Higgs field, the critical energy scale (μmax, the maximum energy scale under which the lower excitation sector of the GEP is valid) and the maximum energy scale (μmax, at which the symmetry of the Higgs field is restored) in the SM areT c ≈476 GeV, μc≈0.547 × 1015 and μmax≈0.873 × 1015, respectively.

关键词： λφ4model Higgs mass regularization renormalization method.

Padé Expansion and the renormalization of Nucleon-Nucleon Scattering

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Chinese Physics Letters 2006年第10期23卷 2688-2690页

作者：杨继锋黄建华刘丹 Department of Physics East China Normal University Shanghai 200062

The importance of imposing physical boundary conditions on the T-matrix to remove the nonperturbative renormalization prescription dependence is stressed and demonstrated in two diagonal channels ^1P1 and ^1D2, with t... 详细信息

关键词： Padé Expansion renormalization Nucleon-Nucleon Scattering