Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS(5)/CFT4

Autor(es)

Gromov, Nikolay ; Levkovich-Maslyuk, Fedor ; Sizov, Grigory

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 6, p. 27-pg., 2016-06-07.

Resumo

We developed an efficient numerical algorithm for computing the spectrum of anomalous dimensions of the planar N = 4 Super-Yang-Mills at finite coupling. The method is based on the Quantum Spectral Curve formalism. In contrast to Thermodynamic Bethe Ansatz, worked out only for some very special operators, this method is applicable for generic states/operators and is much faster and more precise due to its Q-quadratic convergence rate. To demonstrate the method we evaluate the dimensions Delta of twist operators in sl(2) sector directly for any value of the spin S including non-integer values. In particular, we compute the BFKL pomeron intercept in a wide range of the 't Hooft coupling constant with up to 20 significant figures precision, confirming two previously known from the perturbation theory orders and giving prediction for several new coefficients. Furthermore, we explore numerically a rich branch cut structure for complexified spin S. (AU)

• Processo FAPESP: 11/11973-4 - ICTP Instituto Sul-Americano para Pesquisa Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Temático