Facultad de Ciencias Exactas

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Examinando Facultad de Ciencias Exactas por Materia "1/N Expansion"

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  • Miniatura
    Ítem
    Antisymmetric Wilson loops in N= 4 SYM: from exact results to non-planar corrections
    (Springer Verlag, 2018-08) Canazas Garay, A.F.; Faraggi, A.; Mück, W.
    We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided. © 2018, The Author(s).
  • Miniatura
    Ítem
    Functional determinants of radial operators in AdS 2
    (Springer Verlag, 2018-06) Aguilera-Damia, Jeremías; Faraggi, Alberto; Zayas, Leopoldo Pando; Rathee, Vimal; Silva, Guillermo A.
    We study the zeta-function regularization of functional determinants of Laplace and Dirac-type operators in two-dimensional Euclidean AdS2 space. More specifically, we consider the ratio of determinants between an operator in the presence of background fields with circular symmetry and the free operator in which the background fields are absent. By Fourier-transforming the angular dependence, one obtains an infinite number of one-dimensional radial operators, the determinants of which are easy to compute. The summation over modes is then treated with care so as to guarantee that the result coincides with the two-dimensional zeta-function formalism. The method relies on some well-known techniques to compute functional determinants using contour integrals and the construction of the Jost function from scattering theory. Our work generalizes some known results in flat space. The extension to conformal AdS2 geometries is also considered. We provide two examples, one bosonic and one fermionic, borrowed from the spectrum of fluctuations of the holographic 14 -BPS latitude Wilson loop. © 2018, The Author(s).