15123035
Independent Operators at Different Dimension
To apply lattice QCD in the calculation of glueball spectrum it is needed firstly to know associated operators acting on vacuum. We show how to find all the independent representations and operators, of group $SO(3)^{PC}$ at different dimension, since the work is not trivial. Then, we decompose these representation into irreducible representation of $O^{PC}$ group, which are listed in the note. At last we argue that $f_J(2220)$ and $g_T$ states can not be tensor glueball simultaneously.
126028323
THE PRODUCTION PROCESS OF △ (1236) BY HIGH ENERGY NEUTRINOS, ACCORDING TO THE STRATON MODEL
16008283
A New Approach to Construct the Operator on Lattice for the Calculation of Glueball Masses
We develop a new approach to construct the operator on lattice for the calculation of glueball mass, which is based on the connection between the continuum limit of the chosen operator and the quantum number $J^{PC}$ of the state studied. The spin of the state studied is then determined uniquely and directly in numerical simulation. Furthermore, the approach can be applied to calculate the mass of glueball states (ground or excited states) with any spin $J$ including $J\geq 4$. Under the quenched approximation, we present pre-calculation results for the masses of $0^{++}$ state and $2^{++}$ state, which are $1754(85)(86)MeV$ and $2417(56)(117)MeV$, respectively.
124930294
A Rigorous Calculation for the Radiator in e~+ e~-Process
Using the precise expression of electron, positron distribution function we obtained earlier, we derive the rigorous analytical expression of radiator in e~+e~- collision process. This series expression converges rapidly to the precise result required. The comparison with existing approximate expression is also given. Our result benefits the precice calculation for the radiative corrections in e~+e~- collision processess.
15138971
The first calculation for the mass of the ground 4(++) glueball state on lattice
Under the quenched approximation, we perform a lattice calculation for the mass of the ground 4(++) glueball state in E++ channel on a D = 3+1 lattice. Our calculation shows that the mass of this state is M-G(4(++)) = 3.65(6)(18) GeV, which rules out the 4(++) or mainly 4(++) glueball state interpretation for xi(2230).
122217753
THE BOUND STATE EQUATION FOR TWO GLUONS AND ITS SOLUTION
We derive the bound state equation for two gluons in relativistic quantum field theory, i.e. the Bethe–Salpeter (BS) equation for two gluons. To solve it, we choose the kernel as the sum of a one-gluon exchange potential, a contact interaction and a linear confining potential. Under instantaneous approximation, this BS equation is solved numerically. The spectrum and the BS wave function of the glueballs are obtained in this framework. The numerical results are in agreement with that of recent lattice calculation.
118861457
A note on entropic force and brane cosmology
Recently Verlinde proposed that gravity is an entropic force caused by information changes when a material body moves away from the holographic screen. In this note we apply this argument to brane cosmology, and show that the cosmological equation can be derived from this holographic scenario.
118749540
Holographic fermionic liquid with lattices
A bstractWe investigate the holographic fermions over a gravitational lattice background with a rather low temperature. Since the rotation symmetry is broken on the plane, the lattice effects change the shape of the Fermi surface within the first Brillouin zone from a circle to an ellipse. When the Fermi surface intersects with the Brillouin zone boundary, the band structure with a band gap is observed through a numerical analysis. We construct a lattice model sourced by a scalar field as well as an ionic lattice model without the scalar field. In both cases we find the similar physical results.
119110681
The cosmological perturbation theory in loop cosmology with holonomy corrections
In this paper we investigate the scalar mode of first-order metric perturbations over spatially flat FRW spacetime when the holonomy correction is taken into account in the semi-classical framework of loop quantum cosmology. By means of the Hamiltonian derivation, the cosmological perturbation equations is obtained in longitudinal gauge. It turns out that in the presence of metric perturbation the holonomy effects influence both background and perturbations, and contribute the non-trivial terms Sh1 and Sh2 in the cosmological perturbation equations.
117757882
A new regularization of loop integral, no divergence, no hierarchy problem
We find a new regularization scheme which is motivated by the Bose-Einstein condensation. The energy of the virtual particle is considered as discrete. Summing them and regulating the summation by the Riemann $\zeta$ function can give the result of loop integral. All the divergences vanish, we can get almost the same results as Dimensional Regularization. The prediction beyond Dimensional Regularization is also shown in the QED. The hierarchy problem of the radiative correction of scalar mass completely vanish.
119236806
Holographic correlation functions for open strings and branes
In this paper, we compute holographically the two-point and three-point functions of giant gravitons with open strings. We consider the maximal giant graviton in S5 and the string configurations corresponding to the ground states of Z = 0 and Y = 0 open spin chain, and the spinning string in AdS5 corresponding to the derivative type impurities in Y = 0 or Z = 0 open spin chain as well. We treat the D-brane and open string contribution separately and find the corresponding D3-brane and string configurations in bulk which connect the composite operators at the AdS5 boundary. We apply a new prescription to treat the string state contribution and find agreements for the two-point functions. For the three-point functions of two giant gravitons with open strings and one certain half-BPS chiral primary operator, we find that the D-brane contributions to structure constant are always vanishing and the open string contribution for the Y = 0 ground state is in perfect match with the prediction in the free field limit.