We consider a Yang–Mills theory in loop space with an affine Lie gauge group. The Chapline–Manton coupling, the coupling between Yang–Mills fields and an abelian antisymmetric tensor field of the second rank via the Chern– Simons term, is systematically derived within the framework of the Yang–Mills theory. The generalized Chapline–Manton couplings, the couplings among nonabelian tensor fields ...

For semisimple groups, possibly multiplied by U~1!’s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for nonsemisimple groups, the number of Yang-Mills fields can be larger. These additional Yang-Mills fields are not irrelevant because they appear in the gauge transformations of the original Yang-Mills fields. Such nonse...

We consider dimensionally reduced three-dimensional supersymmetric Yang– Mills-Chern–Simons theory. Although the N = 1 supersymmetry of this theory does not allow true massive Bogomol'nyi–Prasad–Sommerfield (BPS) states, we find approximate BPS states which have non-zero masses that are almost independent of the Yang–Mills coupling constant and which are a reflection of the massless BPS states ...

VP mills require significantly larger volumes of cane supply, than Open Pan (OP) mills (Tribe 1987). The amalgamation of larger cane supply volumes means greater transport distances; which in turn sees pressure being brought on the infrastructure (zones, roads, bridges etc.) supporting the command areas of these mills. LDAs in the sugar industry occur as a general rule on the periphery of Large...

We investigate Lie symmetries of general Yang-Mills equations. For this purpose, we first write down the second prolongation of the symmetry generating vector fields, and compute its action on the Yang-Mills equations. Determining equations are then obtained, and solved completely. Provided that Yang-Mills equations are locally solvable, this allows for a complete classification of their Lie sy...

We define a natural generalized symmetry of the Yang-Mills equations as an infinitesimal transformation of the Yang-Mills field, built in a local, gauge invariant, and Poincaré invariant fashion from the Yang-Mills field strength and its derivatives to any order, which maps solutions of the field equations to other solutions. On the jet bundle of Yang-Mills connections we introduce a spinorial ...

We consider the Yang-Mills flow equations on a reductive coset space G/H and the Yang-Mills equations on the manifold R×G/H . On nonsymmetric coset spaces G/H one can introduce geometric fluxes identified with the torsion of the spin connection. The condition of G-equivariance imposed on the gauge fields reduces the Yang-Mills equations to φ-kink equations on R. Depending on the boundary condit...

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...

Finding solutions to non-linear field theories, such as Yang-Mills theories or general relativity, is usually difficult. The field equations of Yang-Mills theories and general relativity are known to share some mathematical similarities , and this connection can be used to find solutions to one theory using known solutions of the other theory. For example, the Schwarzschild solution of general ...

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