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

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Abstract.

The effect of the \(\mathcal{O}(\partial^{4})\) terms of the gradient expansion on the anomalous dimension \( \eta\) and the correlation length’s critical exponent \( \nu\) of the Wilson-Fisher fixed point has been determined for the Euclidean 3-dimensional O(N) models with \( N\ge 2\) . Wetterich’s effective average action renormalization group 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 \(\mathcal{O}(\eta)\).

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Authors and Affiliations

  1. Department of Theoretical Physics, University of Debrecen, P.O. Box 5, H-4010, Debrecen, Hungary

    Zoltán Péli, Sándor Nagy & Kornel Sailer

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  1. Zoltán Péli
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  2. Sándor Nagy
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  3. Kornel Sailer
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Correspondence to Zoltán Péli.

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Communicated by T. Biro

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Péli, Z., Nagy, S. & Sailer, K. Effect of the quartic gradient terms on the critical exponents of the Wilson-Fisher fixed point in O(N) models. Eur. Phys. J. A 54, 20 (2018). https://doi.org/10.1140/epja/i2018-12385-9

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  • DOI: https://doi.org/10.1140/epja/i2018-12385-9

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