The "cascade static lens (CSL) gauge" has a high sensitivity(S) because the emitted electrons repeat the go and back oscillation before they are received by the electrodes. (S=18.6 Pa<sup>-1</su...The "cascade static lens (CSL) gauge" has a high sensitivity(S) because the emitted electrons repeat the go and back oscillation before they are received by the electrodes. (S=18.6 Pa<sup>-1</sup> (2480 Torr<sup>-1</sup> in a展开更多
This is the second paper in a series following Tian and Xu(2015), on the construction of a mathematical theory of the gauged linear σ-model(GLSM). In this paper, assuming the existence of virtual moduli cycles and th...This is the second paper in a series following Tian and Xu(2015), on the construction of a mathematical theory of the gauged linear σ-model(GLSM). In this paper, assuming the existence of virtual moduli cycles and their certain properties, we define the correlation function of GLSM for a fixed smooth rigidified r-spin curve.展开更多
Motivated by the problem of expanding the single-trace tree-level amplitude of Einstein-Yang-Mills theory to the BCJ basis of Yang-Mills amplitudes,we present an alternative expansion formula in gauge invariant vector...Motivated by the problem of expanding the single-trace tree-level amplitude of Einstein-Yang-Mills theory to the BCJ basis of Yang-Mills amplitudes,we present an alternative expansion formula in gauge invariant vector space.Starting from a generic vector space consisting of polynomials of momenta and polarization vectors,we define a new sub-space as a gauge invariant vector space by imposing constraints on the gauge invariant conditions.To characterize this sub-space,we compute its dimension and construct an explicit gauge invariant basis from it.We propose an expansion formula in this gauge invariant basis with expansion coefficients being linear combinations of the Yang-Mills amplitude,manifesting the gauge invariance of both the expansion basis and coefficients.With the help of quivers,we compute the expansion coefficients via differential operators and demonstrate the general expansion algorithm using several examples.展开更多
From the overlap lattice quark propagator calculated in the Landau gauge,we determine the quark chiral condensate by fitting operator product expansion formulas to the lattice data.The quark propagators are computed o...From the overlap lattice quark propagator calculated in the Landau gauge,we determine the quark chiral condensate by fitting operator product expansion formulas to the lattice data.The quark propagators are computed on domain wall fermion configurations generated by the RBC-UKQCD Collaborations with N_f = 2 + 1flavors.Three ensembles with different light sea quark masses are used at one lattice spacing 1/a = 1.75(4) Ge V.We obtain ψψ (2 GeV)MS =(-304(15)(20) MeV)~3in the SU(2) chiral limit.展开更多
文摘The "cascade static lens (CSL) gauge" has a high sensitivity(S) because the emitted electrons repeat the go and back oscillation before they are received by the electrodes. (S=18.6 Pa<sup>-1</sup> (2480 Torr<sup>-1</sup> in a
基金supported by National Science Foundation of USA(Grant No.DMS-1309359)National Natural Science Foundation of China(Grant No.11331001)
文摘This is the second paper in a series following Tian and Xu(2015), on the construction of a mathematical theory of the gauged linear σ-model(GLSM). In this paper, assuming the existence of virtual moduli cycles and their certain properties, we define the correlation function of GLSM for a fixed smooth rigidified r-spin curve.
基金B.F.is supported by Qiu-Shi Funding and the National Natural Science Foundation of China(NSFC)(11935013,11575156)R.H.is supported by the National Natural Science Foundation of China(NSFC)(11805102),Natural Science Foundation of Jiangsu Province(BK20180724)ShuangChuang Talent Program of Jiangsu Province。
文摘Motivated by the problem of expanding the single-trace tree-level amplitude of Einstein-Yang-Mills theory to the BCJ basis of Yang-Mills amplitudes,we present an alternative expansion formula in gauge invariant vector space.Starting from a generic vector space consisting of polynomials of momenta and polarization vectors,we define a new sub-space as a gauge invariant vector space by imposing constraints on the gauge invariant conditions.To characterize this sub-space,we compute its dimension and construct an explicit gauge invariant basis from it.We propose an expansion formula in this gauge invariant basis with expansion coefficients being linear combinations of the Yang-Mills amplitude,manifesting the gauge invariance of both the expansion basis and coefficients.With the help of quivers,we compute the expansion coefficients via differential operators and demonstrate the general expansion algorithm using several examples.
基金Supported by National Natural Science Foundation of China(11575197,11575196,11335001,11405178)joint funds of NSFC(U1632104,U1232109)the support of NSFC and DFG(CRC110)
文摘From the overlap lattice quark propagator calculated in the Landau gauge,we determine the quark chiral condensate by fitting operator product expansion formulas to the lattice data.The quark propagators are computed on domain wall fermion configurations generated by the RBC-UKQCD Collaborations with N_f = 2 + 1flavors.Three ensembles with different light sea quark masses are used at one lattice spacing 1/a = 1.75(4) Ge V.We obtain ψψ (2 GeV)MS =(-304(15)(20) MeV)~3in the SU(2) chiral limit.