Perturbation calculations for the eight-vertex model around the Ising point for T → Tc+. II

The dispersion expansion for the two-point electric correlation function in the eight-vertex model is calculated to first order in the four-spin coupling in the scaling limit in the high-temperature regime. It is found that there is a close relation between the T_c⁻ and T_c⁺ spin-spin-energy density correlation function in the Ising model. This is used to simplify tremendously the calculation in the T_c⁺ case; the result can be obtained from the T_c⁻ result by deleting two variables in the expansion.     

Electric correlation function for the eight-vertex model for T→T−c to first order in the four-spin coupling

We study the arrow-arrow correlation function of the eight-vertex model in the scaling limit as T→T⁻_c to first order in the four- spin coupling. Our result shows that the Fredholm determinant structure of the correlation which is present in the decoupling limit is destroyed by the four-spin coupling.     

A bag model calculation of the electroweaks→dγ loop

We consider the CP-conserving electroweak transitionssd. To include confinement effects below the charm scale, we perform the loop calculations within the bag model. According to the calculation, confinement effects are rather important and give amplitudes three orders of magnitude bigger than that obtained from the free quark loop, which is eG _F m _c ² /M _W ² . Moreover, the amplitude is of the same order of magintude as the perturbative two loop amplitude eG _{F s} ln(m _c /). For the decay mode ^{– –} we obtain a branching ratio 4.4·10^–5. Other radiative decays of strange baryons are known to be dominated by pole diagrams.     

Search for the decay τ− → vτηπ−

We have searched for the decay τ⁻ → v_τηπ⁻ using data accumulated by the ARGUS detector at the e⁺e⁻ storage ring DORIS II at DESY. No η signal was found in the π⁺π⁻π⁰ subsystems of the decay τ⁻ →v_τπ⁻π⁻π⁺ π⁰. We obtain an upper limit for the branching ratio of the decay τ⁻ → v_τηπ⁻ of 1.3% at the 95% confidence level.     

τ− → π−π0ντ decay in the extended NJL model

The width of the decay τ^? → π^?π⁰ν_τ was calculated in the extended NJL model. Contact interaction of W boson with a pion pair as well as the contribution of the ρ mesons in the ground and first radialexcited states are taken into account. The sum of the contact diagram and diagram with intermediate ρ meson in the ground state leads to the result which coincides with the result of the vector-dominance model. Our results are in satisfactory agreement with experimental data.     

Perturbative calculation of critical exponents for the Bose–Hubbard model

We develop a strategy for calculating critical exponents for the Mott insulator-to-superfluid transition shown by the Bose–Hubbard model. Our approach is based on the field-theoretic concept of the effective potential, which provides a natural extension of the Landau theory of phase transitions to quantum critical phenomena. The coefficients of the Landau expansion of that effective potential are obtained by high-order perturbation theory. We counteract the divergency of the weak-coupling perturbation series by including the seldom considered Landau coefficient a ₆ into our analysis. Our preliminary results indicate that the critical exponents for both the condensate density and the superfluid density, as derived from the two-dimensional Bose–Hubbard model, deviate by less than 1 % from the best known estimates computed so far for the three-dimensional XY universality class.     

Pseudo-ε-expansion and the two-dimensional Ising model

The pseudo-ε-expansions for the coordinate of the fixed point g^*, the critical exponents, and the sextic effective coupling constant g₆ are determined for the two-dimensional Ising model on the basis of the five-loop renormalization group series. It is found that the pseudoe-expansions for the coordinate of the fixed point g^*, the inverse exponent γ^?1, and the constant g₆ possess a remarkable property, namely, the higher terms of these series are so small that reliable numerical results can be obtained without invoking Borel summation.     

The enhanced volume source boundary point method for the calculation of acoustic radiation problem

The Volume Source Boundary Point Method(VSBPM) is greatly improved so that it will speed up the VSBPM‘s solution of the acoustic radiation problem caused by the vibrating body.The fundamental solution provided by Helmholtz equation is enforced in a weighted residual sense over a tetrahedron located on the normal line of the boundary node to replace the coefficient matrices of the system equation.Through the enhanced volume source boundary point analysis of various examples and the sound field of a vibrating rectangular box in a semi-anechoic chamber,it has revealed that the calculating speed of the EVSBPM is more than 10 times faster than that of the VSBPM while it workss on the aspects of its calculating precision and stability,adaptation to geometric shape of vibrating body as well as its ability to overcome the non-uniqueness problem.     

Bound kaon approach for the ppK − system in the Skyrme model

The lightest nuclear $\overline K$ bound state, ppK ^?, is investigated in the Skyrme model. We describe the ppK ^? as two-Skyrmion around which a kaon field fluctuates. The two-Skyrmion is projected onto the (pp) _S=0 state using the collective coordinate quantization method. We find that the energy of K ^? can be considerably small, and that ppK ^? is a molecular state. The binding energy of the ppK ^? and the mean pp distance are estimated to be B.E. = 104–126?MeV and $\sqrt{\langle r_{pp}^{2}\rangle}$ = 1.6–1.8?fm, respectively.     

TheK S 0 →π0 l + l − andK L 0 →π0 l + l − decays in the standard model and the extended Nambu-Jona-Lasinio model

TheK _S ^{0 0} l ⁺ l ^– andK _L ^{0 0} l ⁺ l ^– decays are considered within the framework of the Standard model in the one-photon exchange approximation, i.e.K _S,L ^{0 0}+ *⁰ +l ⁺ l ^–. To evaluate the low-energy matrix elements of theK ⁰(¯K ⁰)⁰+ * transitions, the constituentquark-loop approximation, based on the extended Nambu-Jona-Lasino (NJL) model, is used. The obtained results are compared with other theoretical estimates and the experimental bounds.     

Finslerian Perturbation for the ΛCDM Model

We present Finslerian perturbation for the ΛCDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers–Finsler spacetime breaks the isotropic symmetry even if the scalar perturbations of the FRW metric vanish. In Randers–Finsler spacetime, the modified geodesic equation deduces a modified Boltzmann equation. We propose a perturbational version of the gravitational field equation in Randers–Finsler spacetime, where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravitational field equations for the gravitational wave are also presented. The primordial power spectrum of the gravitational wave is investigated. We show that the primordial power spectrum for super-horizon perturbations is unchanged. For sub-horizon perturbations, however, the power spectrum is modified.     

Search for the standard model Higgs boson in the H→WW→lνq'q decay channel

We present a search for the standard model Higgs boson (H) in pp collisions at sqrt(s)=1.96 TeV in events containing a charged lepton (?), missing transverse energy, and at least two jets, using 5.4 fb(-1) of integrated luminosity recorded with the D0 detector at the Fermilab Tevatron Collider. This analysis is sensitive primarily to Higgs bosons produced through the fusion of two gluons or two electroweak bosons, with subsequent decay H→WW→?νq'q, where ? is an electron or muon. The search is also sensitive to contributions from other production channels, such as WH→?νbb. In the absence of a signal, we set limits at the 95% C.L. on the cross section for H production σ(pp→H+X) in these final states. For a mass of M(H)=160 GeV, the limit is a factor of 3.9 larger than the cross section in the standard model and consistent with an a priori expected sensitivity of 5.0.     

The Ising version of the t–J model

The t–J model is analysed in the limit of strong anisotropy, where the transverse components of electron spin are neglected. We propose a slave-particle-type approach that is valid, in contradiction to many of the standard approaches, in the low-doping regime and becomes exact for a half-filled system. We describe an effective method that allows to numerically study the system with the no-double-occupancy constraint rigorously taken into account at each lattice site. Then, we use this approach to demonstrate the destruction of the antiferromagnetic order by increasing the doping and formation of Nagaoka polarons in the strong interaction regime.     

Entanglement detection in the mixed-spin Ising–XY model

In the present work, we initially verify anisotropy effect on the heat capacity of a mixed-three-spin(1/2,1,1/2) system(where spins(1/2,1/2) have XY interaction and spins(1,1/2) have Ising interaction together) at finite temperatures, then,the pairwise entanglement for spins(1/2,1/2), by means of negativity(as a measure of entanglement) as a function of the temperature T, homogeneous magnetic field B, and anisotropy parameter γ is investigated. In addition, we show that one can find magnetic phase transition points for the spins(1/2,1/2) at finite temperatures and understand properly their behavior with respect to the magnetic field and the anisotropy parameter, via the negativity function. An interval of the magnetic field from the negativity diagram of the spins(1/2,1/2) is presented in which quantum phase transition occurs for the tripartite mixed-three-spin system. Finally, some new interesting entanglement witnesses are introduced by using non-degenerate perturbation theory for the mixed-three-spin system.     

Ab-initio calculation of local magnetic moments for the liquid ferromagnet Co1−xPdx

Arguments are given for the conjecture that the local magnetic moments of the recently discovered liquid ferromagnets Co_1−xPd_x may be at least roughly determined by ab-initio ground state calculations for the instantly frozen liquid. The magnetic moments exhibit a non-trivial concentration dependence due to the nearly ferromagnetic behaviour of Pd.     

Decay of correlations in the one dimensional Ising model withJ ij =|i−j|−2

A low temperature expansion is constructed for the one dimensional Ising model with Hamiltonian . It is shown that the two point function _i ; _j obeys upper and lower bounds of the formf()|i–j|^–2 for inverse temperature sufficiently large.Junior Fellow, Harvard University Society of Fellows. Supported in part by the National Science Foundation under Grant No. PHY79-16812.