منابع مشابه
Remarks 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).
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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.
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Nahm’s equations are viewed in a more general context where they appear as a vector field on a moduli space of O(2)-twisted Higgs bundles on the projective line. Zeros of this vector field correspond to torsion-free sheaves on a singular spectral curve which we translate in terms of a smooth curve in three-dimensional projective space. We also show how generalizations of Nahm’s equations are re...
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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 ...
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We construct exact 2d CFTs, corresponding to closed string tachyon and metric profiles invariant under shifts in a null coordinate, which can be constructed from any 2d renormalization group flow. These solutions satisfy first order equations of motion in the conjugate null coordinate. The direction along which the tachyon varies is identified precisely with the wordsheet scale, and the tachyon...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2012
ISSN: 0003-4916
DOI: 10.1016/j.aop.2011.10.011