English

Analytical results for the four-loop RG functions in the 2D non-linear O(n) {\sigma}-model on the lattice

High Energy Physics - Phenomenology 2013-06-13 v1 High Energy Physics - Lattice

Abstract

We recalculate four-loop renormalization group functions in 2-dimensional nonlinear O(n) {\sigma}-model using coordinate-space method. The high accuracy of calculation allow us to find the analytical form of {\beta}- and {\gamma}-function (anomaluos dimension).

Keywords

Cite

@article{arxiv.1306.2771,
  title  = {Analytical results for the four-loop RG functions in the 2D non-linear O(n) {\sigma}-model on the lattice},
  author = {O. Veretin},
  journal= {arXiv preprint arXiv:1306.2771},
  year   = {2013}
}

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4 pages