sigma06-060. 1831KB Jun 04 2011 12:09:53 AM
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In general, in non-supersymmetric gauge theory like QCD the dependence on UV regularization scale will be present inside the correlators of the dressed effective fields because it
The bi-Hamiltonian structure of the two known vector generalizations of the mKdV hierarchy of soliton equations is derived in a geometrical fashion from flows of non- stretching
While constructing the solution of the initial value problem for the BBGKY hierarchy of the classical systems of particles with the initial data from the space of sequences of
The 2-BKP hierarchy is rather special among multi-component integrable hierarchies, because it has a scalar Lax formalism as Shiota [ 7 ] and Krichever [ 8 ] presented.. In
Section 3 introduces a box scheme model for problem ( 1 ), and existence and uniqueness of the solution of the approximating problem ( 12 ) is obtained from the fixed point theorem
If both the numerator and the denominator of the right-hand side of such ODE are not constants, the method can determine in finite terms an explicit expression of an integrating
And in the situation when the direct algebraic balance method, based on the representing solution we are looking for in the form of finite combination of the given functions fails,
Our approach is built on making gauge copies of an extended AKNS model labeled by angle θ belonging to an interval 0 ≤ θ ≤ π/ 2 and then by elimination of one of two components of
