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- Matteo Beccaria, Gian Fabrizio De Angelis, Valentina Forini
- 2007

We study at strong coupling the scaling function describing the large spin anomalous dimension of twist two operators in N = 4 super Yang-Mills theory. In the spirit of AdS/CFT duality, it is possible to extract it from the string Bethe Ansatz equations in the sl(2) sector of the AdS5 S5 superstring. To this aim, we present a detailed analysis of the Bethe… (More)

We present a simple derivation of a Feynman-Kac type formula to study fermionic systems. In this approach the real time or the imaginary time dynamics is expressed in terms of the evolution of a collection of Poisson processes. A computer implementation of this formula leads to a family of algorithms parametrized by the values of the jump rates of the… (More)

We study dynamical supersymmetry breaking and the transition point by non-perturbative lattice techniques in a class of two-dimensional N = 1 Wess-Zumino model. The method is based on the calculation of rigorous lower bounds on the ground state energy density in the infinite-lattice limit. Such bounds are useful in the discussion of supersymmetry phase… (More)

A new approach to the study of the transition point in a class of two dimensional WessZumino models is presented. The method is based on the calculation of rigorous lower bounds on the ground state energy density in the infinite lattice limit. Such bounds are useful in the discussion of supersymmetry phase transition. The transition point is then determined… (More)

Quantum Monte Carlo methods are powerful techniques for the numerical evaluation of the properties of quantum lattice systems. In the case of fermion systems [1–4] there are special features connected with the anticommutativity of the variables involved. In a recent paper [5] progress has been made by providing an exact probabilistic representation for the… (More)

We apply Zeilberger summation to derive a closed formula for the wrapping correction to one-impurity states in the su(2) sector of the -deformedN = 4 SYM theory at = 1=2. As an application depending heavily on the result, we compute the large volume expansion of the wrapping correction.

We present a simple derivation of a Feynman-Kac type formula to study fermionic systems. In this approach the real time or the imaginary time dynamics is expressed in terms of the evolution of a collection of Poisson processes. A computer implementation of this formula leads to a family of algorithms parametrized by the values of the jump rates of the… (More)

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