We investigate the Seiberg-Witten monopole equations on noncommutative (N.C.) R 4 at the large N.C. parameter limit, in terms of the equivariant cohomology. In other words, N = 2 supersymmetric U(1) gauge theories with hypermultiplet on N.C.R4 are studied. It is known that after topological twisting partition functions of N > 1 supersymmetric theories on N.C. R2D are invariant under N.C.paramet...

It has been proved by S.L.Ziglin [1], for a large class of 2-degree-of-freedom (d.o.f) Hamiltonian systems, that transverse intersections of the invariant manifolds of saddle fixed points imply infinite branching of solutions in the complex time plane and the non–existence of a second analytic integral of the motion. Here, we review in detail our recent results, following a similar approach to ...

Our paper takes into account a new bifurcation case of the cycle length and a fifth-order difference equation dynamics of ym+1 = ymy α m−2y β m−4 + ym + y α m−2 + y β m−4 + γ ymy α m−2 + y α m−2y β m−4 + ymy β m−4 + γ+ 1 , m = 0, 1, 2, 3, . . . , where γ ∈ [0,∞) , α,β ∈ Z+, and y−4,y−3,y−1,y−2,y0 ∈ (0, ∞) is took into consideration. The disturbance of initials lead to a distinction of cycle len...

The exact renormalization group approach (ERG) is developed for the case of pure fermionic theories by deriving a Grassmann version of the ERG equation and applying it to the study of fixed point solutions and critical exponents of the two-dimensional chiral Gross-Neveu model. An approximation based on the derivative expansion and a further truncation in the number of fields is used. Two soluti...

The considerable part of the parameter space in the MSSM corresponding to the infrared quasi fixed point scenario is almost excluded by LEPII bounds on the lightest Higgs boson mass. In the NMSSM the mass of the lightest Higgs boson reaches its maximum value in the strong Yukawa coupling limit when Yukawa couplings are essentially larger than gauge ones at the Grand Unification scale. In this l...

It has been proposed that spacetimes with a U (1) isometry group have contributions to the entropy from Misner strings as well as from the area of d − 2 dimensional fixed point sets. In this paper we test this proposal by constructing Taub-Nut-AdS and Taub-Bolt-AdS solutions which are examples of a new class of asymptotically locally anti-de Sitter spaces. We find that with the additional contr...

We deal with the existence and localization of positive radial solutions for Dirichlet problems involving ϕ $$ \phi -Laplacian operators in a ball. In particular, p Minkowski-curvature equations are considered. Our approach relies on fixed point index techniques, which work thanks to Harnack-type inequality terms seminorm. As consequence result, it is also derived several (even infinitely many)...

Numerical solutions for Sommerfeld model in nonrelativistic case are presented for the scattering of a spinless extended charged body in a static Coulomb field of a fixed point charge. It is shown that differential cross section for extended body preserves the form of the Rutherford result with multiplier, not equal to one (as in classical case), but depending on the size of Sommerfeld particle...