We generalize the hybrid magnetofluid model of a charged fluid interacting with an electromagnetic field to the dynamics of a relativistic hot fluid interacting with a non-Abelian field. The fluid itself is endowed with a non-Abelian charge and the consequences of this generalization are worked out. Applications of this formalism to the quark gluon plasma are suggested.

The Lee, Oehme and Yang (LOY) theory of time evolution in two state subspace of states of the complete system is discussed. Some inconsistencies in assumptions and approximations used in the standard derivation of the LOY effective Hamiltonian, H LOY , governig this time evolution are found. Eliminating these inconsistecies and using the LOY method, approximate formulae for the effective Hamil-...

We study the spectrum of the softly broken generalized Veneziano-Yankielowicz effective action for N = 1 SUSY Yang-Mills theory. Two dual formulations of the effective action are given. The spurion method is used for the soft SUSY breaking. Masses of the bound states are calculated and mixing patterns are discussed. Mass splittings of pure gluonic states are consistent with predictions of conve...

Some unexpected properties of the cubic algebra generated by the covariant derivatives of a generic Yang-Mills connection over the (s+ 1)-dimensional pseudo euclidean space are pointed out. This algebra is Gorenstein and Koszul of global dimension 3 but except for s = 1 (i.e. in the 2-dimensional case) where it is the universal enveloping algebra of the Heisenberg Lie algebra and is a cubic Art...

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...

We propose an algebraic structure generalizing quandles, that is analogous to biquandles. A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings and Yang-Baxter cocycles.

Previous studies demonstrated that Alzheimer's disease was considered as the consequence produced by deficiency of Kidney essence. However, the mechanism underlying the symptoms also remains elusive. Here we report that spatial learning and memory, escape, and swimming capacities were damaged significantly in Kidney-yang deficiency rats. Indeed, both hippocampal Aβ(40) and 42 increases in Kidne...

We study the thermodynamics of the large N non-commutative super Yang-Mills theory in the strong ’t Hooft coupling limit in the spirit of AdS/CFT correspondence. Although the thermodynamic quantities of nearextremal D3-branes with NS B fields, which are dual gravity configurations of the non-commutative N = 4 super Yang-Mills theory, are the same as those without B fields, there are some differ...