Non-perturbative renormalization-group approach to lattice models

Dupuis, N. ; Sengupta, K. (2008) Non-perturbative renormalization-group approach to lattice models The European Physical Journal B - Condensed Matter and Complex Systems, 66 (2). pp. 271-278. ISSN 1434-6028

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Official URL: http://www.springerlink.com/content/mx1g7115951q67...

Related URL: http://dx.doi.org/10.1140/epjb/e2008-00417-1

Abstract

The non-perturbative renormalization-group approach is extended to lattice models, considering as an example a φ4 theory defined on a d-dimensional hypercubic lattice. Within a simple approximation for the effective action, we solve the flow equations and obtain the renormalized dispersion epsilon(q) over the whole Brillouin zone of the reciprocal lattice. In the long-distance limit, where the lattice does not matter any more, we reproduce the usual flow equations of the continuum model. We show how the numerical solution of the flow equations can be simplified by expanding the dispersion in a finite number of circular harmonics.

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ID Code:81684
Deposited On:07 Feb 2012 06:16
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