On the largest Lyapunov exponent for coupled surjective map lattice with weak diffusive coupling
The largest Lyapunov exponent for one dimensional coupled map lattices with diffusive coupling is considered analytically. It is shown that if the map is surjective there exists a simple relation between the largest Lyapunov exponent λ1 and the coupling strength e, namely λ1 = λ0 - κe0, when e → 0, where λ0 is the Lyapunov exponent for the map and o = 1/p if the mapping function has p-th order maximum.

title: HOW THE ARNOLD TONGUES BECOME SAUSAGES IN A PIECEWISE LINEAR CIRCLE MAP
abstract: The width of mode-locking tongues shrinks to zero at well-defined points in a piecewise linear circle map. The dimension of the set of quasiperiodic points along its critical line appears to be zero as compared to the "universal" value . Many properties of this map can be described analytically by rational fractions.

title: COMPUTATION OF DIMENSIONS FOR STRANGE ATTRACTORS BY THE BOX COUNTING RENORMALIZATION METHOD
abstract: The scaling ansats for box counting functions is verified numerically for the reverse doubling sequence of the logistic map. A box counting renormalisation method is developed to calculate dimensions for strange attractors.

title: ON THE RADIATIVE DECAY OF HEAVY VECTOR MESON INTO HIGGS PARTICLE
abstract: An estimation of the contribution from the vector meson intermediate state to the width of radiative decay of a heavy vector meson composed of heavy quarks into Higgs particle is given. Under some approximation, it exhibits a value four times larger than that obtained by using free quark picture. The implication of this result for interpreting as Higgs scalar is also discussed.

title: CP violation in chargino decays in the MSSM
abstract: In the minimal supersymmetric standard model (MSSM) with complex parameters, supersymmetric loop effects can lead to $\mathrm{CP}$ violation. We calculate the rate asymmetries of decays of charginos into the lightest neutralino and a W boson on the basis of the most important loop contributions in the third generation squark sector. It turns out that the $\mathrm{CP}$ violating asymmetries can be a few percent in typical regions of the parameter space of the MSSM. These processes would provide very promising channels for probing $\mathrm{CP}$ violation in the MSSM at future high-energy colliders.

title: Decay constants of the pseudoscalar mesons in the framework of the coupled Schwinger–Dyson equation and Bethe–Salpeter equation
abstract: In this article, we investigate the structures of the pseudoscalar mesons ( π , K , D , D s , B and B s ) in the framework of the coupled rainbow Schwinger–Dyson equation and ladder Bethe–Salpeter equation with the confining effective potential (infrared modified flat bottom potential). The Schwinger–Dyson functions for the u , d and s quarks are greatly renormalized at small momentum region and the curves are steep at about q 2 = 1 GeV 2 which indicates an explicitly dynamical symmetry breaking. The Euclidean time Fourier transformed quark propagators have no mass poles in the time-like region which naturally implements confinement. As for the c and b quarks, the current masses are very large, the renormalization are more tender, however, mass poles in the time-like region are also absent. The Bethe–Salpeter wavefunctions for those mesons have the same type (Gaussian type) momentum dependence and center around small momentum which indicate that the bound states exist in the infrared region. The decay constants for those pseudoscalar mesons are compatible with the values of experimental extractions and theoretical calculations, such as lattice simulations and QCD sum rules.

title: Probing Planckian physics in de Sitter space with quantum correlations
abstract: We study the quantum correlation and quantum communication channel of both free scalar and fermionic fields in de Sitter space, while the Planckian modification presented by the choice of a particular alpha-vacuum has been considered. We show the occurrence of degradation of quantum entanglement between field modes for an inertial observer in curved space, due to the radiation associated with its cosmological horizon. Comparing with standard Bunch-Davies choice, the possible Planckian physics causes some extra decrement on the quantum correlation, which may provide the means to detect quantum gravitational effects via quantum information methodology in future. Beyond single-mode approximation, we construct proper Unruh modes admitting general alpha-vacua, and find a convergent feature of both bosonic and fermionic entanglements. In particular, we show that the convergent points of fermionic entanglement negativity are dependent on the choice of alpha. Moreover, an one-to-one correspondence between convergent points H-c of negativity and zeros of quantum capacity of quantum channels in de Sitter space has been proved.

title: Exact classical solutions of nonlinear sigma models on supermanifolds
abstract: We study two-dimensional nonlinear sigma models with target spaces being the complex super-Grassmannian manifolds, that is, coset supermanifolds G(m, p vertical bar n, q) congruent to U(m vertical bar n)/[U(p vertical bar q) circle times U(m-p vertical bar n-q)] for 0 <= p <= m, 0 <= q <= n and 1 <= p+q. The projective superspace CPm-1 vertical bar n is a special case of p=1, q=0. For the two-dimensional Euclidean base space, a wide class of exact classical solutions (or harmonic maps) are constructed explicitly and elementarily in terms of Gramm-Schmidt orthonormalisation procedure starting from holomorphic bosonic and fermionic supervector input functions. The construction is a generalisation of the non-super-case published more than twenty years ago by one of the present authors.

title: Generalized Yang-Baxter relations for lattice models and field theories