A primordial field theory of Quantum Gravity resolves a number of century-old paradoxes associated with general relativity and quantum mechanics. It allows re-interpretation of major experiments such as Michelson-Gale...A primordial field theory of Quantum Gravity resolves a number of century-old paradoxes associated with general relativity and quantum mechanics. It allows re-interpretation of major experiments such as Michelson-Gale (1925) and Q-bounce (1999). I address herein an unexplained anomalous experiment by Martin Tajmar (2006), in terms of a gravitomagnetic-based Meissner effect.展开更多
The momentum-space subtraction(MOM) scheme is one of the most frequently used renormalization schemes in perturbative QCD(pQCD) theory.In this paper,we discuss in detail the gauge dependence of the pQCD predictions ob...The momentum-space subtraction(MOM) scheme is one of the most frequently used renormalization schemes in perturbative QCD(pQCD) theory.In this paper,we discuss in detail the gauge dependence of the pQCD predictions obtained under the MOM scheme.Conventionally,a renormalization scale ambiguity exists for the fixedorder pQCD predictions;this assigns an arbitrary range and error for the fixed-order pQCD prediction and makes the discussions on the issue of the gauge dependence much more involved.The principle of maximum conformality(PMC) adopts the renormalization group equation to determine the magnitude of the coupling constant;hence,it determines the effective momentum flow of the process,which is independent of the choice of renormalization scale.Thus,no renormalization scale ambiguity exists in PMC predictions.To focus our attention on the MOM scheme’s gauge dependence,we first apply the PMC to deal with the pQCD series.As an explicit example,we adopt the Higgs boson decay width Γ(H→gg) up to its five-loop QCD contribution,to demonstrate the behavior of the gauge dependence before and after applying the PMC.Interaction vertices are chosen to define five different MOM schemes:mMOM,MOMh,MOMq,MOMg,and MOMgg.Under these MOM schemes,we obtain Γ(H →gg)|PMC(m(MOM)=332.8-3.711.6±7.3 keV,Γ(H→gg)|PMCMOMh=332.8-34.6+27.5±7.3 keV,Γ(H→gg)|PMCMOMq=332.934.727.4±7.3 keV,Γ(H→gg)|PMCMOMg=332.734.627.5±7.3 keV,and Γ(H→gg)|PMCMOMgg=337.9-1.7+1.2±7.7 keV;here,the central values correspond to the Landau gauge with the gauge parameter ξMOM=0,the first errors correspond to ξMOM ∈ [-1,1],and the second ones arise through taking △αsMS(MZ)=±0.0011.The uncertainty of the Higgs mass △MH=0.24 GeV causes an extra error of ~±1.7(or ~±1.8) keV for all the aforementioned MOM schemes.It is found that the Higgs decay width Γ(H→gg) depends very weakly on the choice of MOM scheme,which is consistent with renormalization group invariance.It is found that the gauge dependence of Γ(H→ gg) under the MOMgg scheme is less than ±1%,which is the smallest gauge dependence among all the aforementioned MOM schemes.展开更多
实空间中光子的局域化在基础研究和技术应用领域具有重要意义.连续域束缚态(bound states in the continuum,BICs)为光子的局域化提供了新的机制,其中最重要的方案之一是光子晶体.然而光子晶体在制备过程中会不可避免地引入误差和缺陷,...实空间中光子的局域化在基础研究和技术应用领域具有重要意义.连续域束缚态(bound states in the continuum,BICs)为光子的局域化提供了新的机制,其中最重要的方案之一是光子晶体.然而光子晶体在制备过程中会不可避免地引入误差和缺陷,动量空间表征可以分析加工误差和缺陷对于光子晶体能带特性的影响,进而指导光子晶体器件的设计和制备.本文设计了可见光波段的光子晶体,通过动量空间表征观测到了连续域准束缚态(quasi-BIC),从而在垂直方向上实现了对光子的高度局域化,并通过调整结构参数,实现了对光子晶体动量空间的特征调控.进一步设计不同周期光子晶体的横向异质结构,利用两者的能带套嵌实现了对光子水平方向上的局域化,以此制备了品质因子与模式体积之比达到6×10^(14) cm^(-3)的高品质光学微腔.本研究对于光子晶体的设计以及增强光与物质相互作用具有重要意义.展开更多
文摘A primordial field theory of Quantum Gravity resolves a number of century-old paradoxes associated with general relativity and quantum mechanics. It allows re-interpretation of major experiments such as Michelson-Gale (1925) and Q-bounce (1999). I address herein an unexplained anomalous experiment by Martin Tajmar (2006), in terms of a gravitomagnetic-based Meissner effect.
基金Supported by Graduate Research and Innovation Foundation of Chongqing,China(CYB19065,ydstd1912)the National Natural Science Foundation of China(11625520,11947406,11905056)+1 种基金the China Postdoctoral Science Foundation(2019M663432)the Chongqing Special Postdoctoral Science Foundation(XmT2019055)。
文摘The momentum-space subtraction(MOM) scheme is one of the most frequently used renormalization schemes in perturbative QCD(pQCD) theory.In this paper,we discuss in detail the gauge dependence of the pQCD predictions obtained under the MOM scheme.Conventionally,a renormalization scale ambiguity exists for the fixedorder pQCD predictions;this assigns an arbitrary range and error for the fixed-order pQCD prediction and makes the discussions on the issue of the gauge dependence much more involved.The principle of maximum conformality(PMC) adopts the renormalization group equation to determine the magnitude of the coupling constant;hence,it determines the effective momentum flow of the process,which is independent of the choice of renormalization scale.Thus,no renormalization scale ambiguity exists in PMC predictions.To focus our attention on the MOM scheme’s gauge dependence,we first apply the PMC to deal with the pQCD series.As an explicit example,we adopt the Higgs boson decay width Γ(H→gg) up to its five-loop QCD contribution,to demonstrate the behavior of the gauge dependence before and after applying the PMC.Interaction vertices are chosen to define five different MOM schemes:mMOM,MOMh,MOMq,MOMg,and MOMgg.Under these MOM schemes,we obtain Γ(H →gg)|PMC(m(MOM)=332.8-3.711.6±7.3 keV,Γ(H→gg)|PMCMOMh=332.8-34.6+27.5±7.3 keV,Γ(H→gg)|PMCMOMq=332.934.727.4±7.3 keV,Γ(H→gg)|PMCMOMg=332.734.627.5±7.3 keV,and Γ(H→gg)|PMCMOMgg=337.9-1.7+1.2±7.7 keV;here,the central values correspond to the Landau gauge with the gauge parameter ξMOM=0,the first errors correspond to ξMOM ∈ [-1,1],and the second ones arise through taking △αsMS(MZ)=±0.0011.The uncertainty of the Higgs mass △MH=0.24 GeV causes an extra error of ~±1.7(or ~±1.8) keV for all the aforementioned MOM schemes.It is found that the Higgs decay width Γ(H→gg) depends very weakly on the choice of MOM scheme,which is consistent with renormalization group invariance.It is found that the gauge dependence of Γ(H→ gg) under the MOMgg scheme is less than ±1%,which is the smallest gauge dependence among all the aforementioned MOM schemes.
文摘实空间中光子的局域化在基础研究和技术应用领域具有重要意义.连续域束缚态(bound states in the continuum,BICs)为光子的局域化提供了新的机制,其中最重要的方案之一是光子晶体.然而光子晶体在制备过程中会不可避免地引入误差和缺陷,动量空间表征可以分析加工误差和缺陷对于光子晶体能带特性的影响,进而指导光子晶体器件的设计和制备.本文设计了可见光波段的光子晶体,通过动量空间表征观测到了连续域准束缚态(quasi-BIC),从而在垂直方向上实现了对光子的高度局域化,并通过调整结构参数,实现了对光子晶体动量空间的特征调控.进一步设计不同周期光子晶体的横向异质结构,利用两者的能带套嵌实现了对光子水平方向上的局域化,以此制备了品质因子与模式体积之比达到6×10^(14) cm^(-3)的高品质光学微腔.本研究对于光子晶体的设计以及增强光与物质相互作用具有重要意义.
