Correlation functions in the Non Perturbative Renormalization Group and field expansion

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dc.creatorGuerra, Diego
dc.creatorMendez-Galain, Ramon
dc.creatorWschebor, Nicolas
dc.date2007-04-02
dc.date2007-10-23
dc.date.accessioned2026-07-07T11:40:55Z
dc.date.available2026-07-07T11:40:55Z
dc.descriptionThe usual procedure of including a finite number of vertices in Non Perturbative Renormalization Group equations in order to obtain $n$-point correlation functions at finite momenta is analyzed. This is done by exploiting a general method recently introduced which includes simultaneously all vertices although approximating their momentum dependence. The study is performed using the self-energy of the tridimensional scalar model at criticality. At least in this example, low order truncations miss quantities as the critical exponent $η$ by as much as 60%. However, if one goes to high order truncations the procedure seems to converge rapidly.
dc.description20 pages, 6 figures. Minor changes. Version to be published in EPJ B
dc.identifierhttps://arxiv.org/abs/0704.0258
dc.identifierhttp://arxiv.org/abs/0704.0258
dc.identifierEur.Phys.J.B59:357-365,2007
dc.identifierdoi:10.1140/epjb/e2007-00296-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200364
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.titleCorrelation functions in the Non Perturbative Renormalization Group and field expansion
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