RT Journal Article
T1 On the high-density expansion for Euclidean random matrices
A1 Grigera, T.S.
A1 Martín Mayor, Víctor
A1 Parisi, G.
A1 Urbani, P.
A1 Verrocchio, P.
AB Diagrammatic techniques to compute perturbatively the spectral properties of Euclidean random matrices (ERM) in the high-density regime are introduced and discussed in detail. Such techniques are developed in two alternative and very different formulations of the mathematical problem and are shown to give identical results up to second order in the perturbative expansion. One method, based on writing the so-called resolvent function as a Taylor series, allows to group the diagrams in a small number of topological classes, providing a simple way to determine the infrared (small momenta) behavior of the theory up to third order, which is of interest for the comparison with experiments. The other method, which reformulates the problem as a field theory, can instead be used to study the infrared behaviour at any perturbative order.
PB IOP Publishing
SN 1742-5468
YR 2011
FD 2011-02-07
LK https://hdl.handle.net/20.500.14352/42768
UL https://hdl.handle.net/20.500.14352/42768
LA eng
NO © 2011 IOP Publishing Ltd and SISSA.  We were partly supported by MICINN (Spain) through research contract nos. FIS2009-12648-C03-01 (VMM and PV) and FIS2008-01323 (PV).
NO Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 21 dic 2025