منابع مشابه
RG Equations from Whitham Hierarchy
The second derivatives of prepotential with respect to Whitham time-variables in the Seiberg-Witten theory are expressed in terms of Riemann theta-functions. These formulas give a direct transcendental generalization of algebraic ones for the Kontsevich matrix model. In particular case they provide an explicit derivation of the renormalization group (RG) equation proposed recently in papers on ...
متن کاملRemarks on Whitham and Rg
We collect a number of facts and conjectures concerning Whitham theory and the renormalization group (RG). Some explicit relations and analogues are indicated in the context of N = 2 susy Yang-Mills (YM).
متن کاملNon RG logarithms via RG equations
We compute complete leading logarithms in Φ4 theory with the help of Connes and Kreimer RG equations. These equations are defined in the Lie algebra dual to the Hopf algebra of graphs. The results are compared with calculations in parquet approximation. An interpretation of the new RG equations is discussed.
متن کاملThe Whitham Equations Revisited
We survey some topics involving the Whitham equations, concentrating on the role of ψψ∗ (or square eigenfunctions) in averaging. Some connections to symplectic geometry and SeibergWitten theory are indicated.
متن کاملThe twistor theory of Whitham hierarchy
We have generalized the approach in of Dunajski, Mason and Tod [10] and established a 1-1 correspondence between a solution of the universal Whitham hierarchy [23] and a twistor space. The twistor space consists of a complex surface and a family of complex curves together with a meromorphic 2-form. The solution of the Whitham hierarchy is given by deforming the curve in the surface. By treating...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1998
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(98)00315-0