Large spin corrections in SYM : Still a linear integral equation
نویسندگان
چکیده
منابع مشابه
Large spin corrections in N = 4 SYM sl ( 2 ) : still a linear integral equation
Anomalous dimension and higher conserved charges in the sl(2) sector of N = 4 SYM for generic spin s and twist L are described by using a novel kind of nonlinear integral equation (NLIE). The latter can be derived under typical situations of the SYM sectors, i.e. when the scattering need not depend on the difference of the rapidities and these, in their turn, may also lie on a bounded range. He...
متن کاملA Liapunov Functional for a Linear Integral Equation
(2) C(t, s) ≥ 0, Cs(t, s) ≥ 0, Cst(t, s) ≤ 0, Ct(t, s) ≤ 0. The subscripts denote the usual partial derivatives and a is continuous. Convex kernels for both integral and integrodifferential equations are commonly used in the study of many real-world problems. Discussions may be found in Volterra [13], Grippenberg-Londen-Staffans [7; see index], Londen [10], and throughout Burton [4], for exampl...
متن کاملSpinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
We consider folded (S, J) spinning strings in AdS5 × S5 (with one spin component in AdS5 and a one in S 5) corresponding to the Tr(DSΦJ) operators in the sl(2) sector of the N = 4 SYM theory in the special scaling limit in which both the string mass ∼ √ λ lnS and J are sent to infinity with their ratio fixed. Expanding in the parameter l = J √ λ lnS we compute the 2-loop string sigma model corr...
متن کاملSpinning superstrings at 2-loops: strong-coupling corrections to dimensions of large-twist SYM operators
We consider folded (S, J) spinning strings in AdS5 × S5 (with one spin component in AdS5 and a one in S 5) corresponding to the Tr(DSΦJ) operators in the sl(2) sector of the N = 4 SYM theory in the special scaling limit in which both the string mass ∼ √ λ lnS and J are sent to infinity with their ratio fixed. Expanding in the parameter l = J √ λ lnS we compute the 2-loop string sigma model corr...
متن کاملA Grassmann integral equation
The present study introduces and investigates a new type of equation which is called Grassmann integral equation in analogy to integral equations studied in real analysis. A Grassmann integral equation is an equation which involves Grassmann (Berezin) integrations and which is to be obeyed by an unknown function over a (finite-dimensional) Grassmann algebra Gm (i.e., a sought after element of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2009
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2008.09.030