We investigate asymptotic behaviors of the strong coupling limit in the N = 2 supersymmetric non-commutative Yang-Mills theory. The strong coupling behavior is quite different from the commutative one since the non-commutative dual U(1) theory is asymptotic free, although the monodoromy is the same as that of the ordinary theory. Singularities are produced by infinitely heavy monopoles and dyon...

The high energy limit of scattering amplitudes in the N = 4 supersymmetric Yang– Mills theory is studied by solving the corresponding BFKL equation in the next– to–leading approximation. The gluon Green’s function is analysed using a newly proposed method suitable for investigating the contribution from higher conformal spins. From this new approach complete agreement is obtained with the resul...

A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group SO(1, 2), the theory is shown to describe ordinary Einstein gravity with a cosmological constant. With gauge group G = SO(1, 2) ⊗ G , it is shown that the equations of motion for the G fields are the Yang-Mills equations. I...

dynamic game theory is applied to analyze the timber market in northern iran as a duopsony. the nash equilibrium and the dynamic properties of the system based on marginal adjustments are determined. when timber is sold, the different mills use mixed strategies to give sealed bids. it is found that the decision probability combination of the different mills follow a special form of attractor an...

By comparision with numerical results in the maximal Abelian projection of lattice Yang-Mills theory, it is argued that the nonperturbative dynamics of Yang Mills theory can be described by a set of fields that take their values in the coset space SU(2)/U(1). The Yang-Mills connection is parameterized in a special way to separate the dependence on the coset field. The coset field is then regard...

We present a topological Lagrangian field theory that is geometrically similar to Yang-Mills(-Higgs) theory, and study the Bogomol'nyi solitons contained within this theory. The topological field theory may provide an example of a dual field theory. The existence of a dual field theory to Yang-Mills(-Higgs) theory was conjectured by Montonen and Olive.

We incorporate both BRS symmetry and anti-BRS symmetry into the quantisation of topological Yang–Mills theory. This refines previous treatments which consider only the BRS symmetry. Our formalism brings out very clearly the geometrical meaning of topological Yang–Mills theory in terms of connections and curvatures in an enlarged superspace; and its simple relationship to the geometry of ordinar...

A surface of codimension higher than one embedded in an ambient space possesses a connection associated with the rotational freedom of its normal vector fields. We examine the Yang-Mills functional associated with this connection. The theory it defines differs from Yang-Mills theory in that it is a theory of surfaces. We focus, in particular, on the Euler-Lagrange equations describing this surf...

Dynamic game theory is applied to analyze the timber market in northern Iran as a duopsony. The Nash equilibrium and the dynamic properties of the system based on marginal adjustments are determined. When timber is sold, the different mills use mixed strategies to give sealed bids. It is found that the decision probability combination of the different mills follow a special form of attractor an...