Effect of the quartic gradient terms on the critical exponents of the Wilson-Fisher fixed point in O(N) models

Péli, Zoltán and Nagy, Sándor and Sailer, Kornél (2018) Effect of the quartic gradient terms on the critical exponents of the Wilson-Fisher fixed point in O(N) models. EUROPEAN PHYSICAL JOURNAL A: HADRONS AND NUCLEI, 54 (2). pp. 1-18. ISSN 1434-6001

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Abstract

The effect of the O(?^4) terms of the gradient expansion on the anomalous dimension ? and the correlation length's critical exponent ? of the Wilson-Fisher fixed point has been determined for the Euclidean 3-dimensional O(N) models with N ? 2. Wetterich's effective average action renormalizationgroup method is used with field-independent derivative couplings and Litim's optimized regulator. It is shown that the critical theory is well approximated by the effective average action preserving O(N) symmetry with an accuracy of O().

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