Modern Physics Letters A

The intensity of emission of massive gravitons by an arbitary bounded source has been found and its positive definiteness has been proved.

We carry out hydronic matrix element computation in mixing using MIT bag model and find it to suggest the evidence for existence of top quark with mass m_t ࣡ 225 GeV. The analog of "long lived" state is found to be massive than the "short lived" state in system.

We derive an effective Hamiltonian of the relativistic quark model. In the limit of zero quark masses, we obtain linear Regge trajectories for mesons. Based on the diquark-antiquark symmetry, we show that the Regge trajectories of baryons and mesons are parallel at high angular moments. We discuss the breaking of the hadronic supersymmetry and obtain a mass relation of mesons and baryons.

The three-body decays a heavy Higgs , and of a heavy top t → bW⁺ H are studied in the context of the Standard Model. The common feature of these decay channels is the relative big coupling constant of the Higgs particle to the top quark. Indeed within a certain range of the masses M_H, m_t we find that branching ratios of the order O(10^-3) are possible for the decays and t → bW⁺ H. The decay with as a function of M_H and m_t is investigated below the 2m_t threshold (M_tt < 2m_t) and is found to have an interesting behaviour just near this threshold.

The vacuum structure with a non-trivial winding number (the baryon number) of a quantum nonlinear σ-model is investigated. Some falling paths to the vacuum are found in a finite-dimensional subspace of the infinite-dimensional configuration space. It is also shown by numerical calculation that the anti-baryon density is appeared in the outer region on the way of some paths falling into the vacuum. In addition, we also discuss some configurations without hedgehog ansatz.

We derive many integrable lattice from the Ising and superintegrable chiral Potts models using the Onsager algebra. For each of these models, we also construct a class of integrable models from the automorphisms of the Onsager algebra. The extension of the Onsager algebra and associated intergrable models are considered.

We present the Lax pair to describe the two-dimensional induced gravity in the light-cone gauge. This is done at the classical level, with the cosmological constant which so far has not been accounted for in this context. The symmetries are discussed, together with some solutions of the integrability conditions. The case of the W₃ gravity is also analyzed; exhibiting some special solutions and highlighting the roles of the two cosmological constants in its Lax pair formulation.

The statistical properties of matter fields with anomalous magnetic momentum interacting with the Chern-Simons-Maxwell (CSM) field are considered. It is shown that in the theory with pure Chern-Simons (CS) action the Semenoff gauge results in anyons with self-interaction. Even in the presence of the Maxwell term there is a particular solution for which the anyonic system with (current) x (current) self-interaction arises.

We find new special physical operators of W₃-gravity having non-trivial ghost sectors. Some of these operators may be viewed as the Liouville dressings of the energy operator of the Ising model coupled to two-dimensional (2D) gravity and this fills in the gap in the connection between pure W₃-gravity and Ising model coupled to 2D gravity found in our previous work. We formulate a selection rule required for the calculation of correlators in W-gravity theories. Using this rule, we construct the non-ghost part of the new operators of W_N-gravity and find that they represent the (N, N + 1) minimal model operators from both inside and outside the minimal table. Along the way we obtain the canonical spectrum of W_N-gravity for all N.

We discuss when and how the Verlinde dimensions of a rational conformal field theory can be expressed as correlation functions in a topological LG theory. It is seen that a necessary condition is that the RCFT fusion rules must exhibit an extra symmetry. We consider two particular perturbations of the Grassmannian superpotentials. The topological LG residues in one perturbation, introduced by Gepner are shown to be twisted version of the SU(N)_k Verlinde dimensions. The residues in the other perturbation are the twisted Verlinde dimensions of another RCFT; these topological LG correlation functions are conjectured to be the correlation functions of the corresponding Grassmannian topological sigma model with a coupling in the action to instanton number.

We study the process of generalized quantum Hamiltonian reductions using characters of the fractional current algebra. We also comment on the connection to the N = 2 superconformal symmetry.