English

Renormalization: an advanced overview

High Energy Physics - Theory 2014-01-31 v3 Mathematical Physics math.MP

Abstract

We present several approaches to renormalization in QFT: the multi-scale analysis in perturbative renormalization, the functional methods \`a la Wetterich equation, and the loop-vertex expansion in non-perturbative renormalization. While each of these is quite well-established, they go beyond standard QFT textbook material, and may be little-known to specialists of each other approach. This review is aimed at bridging this gap.

Keywords

Cite

@article{arxiv.1401.5003,
  title  = {Renormalization: an advanced overview},
  author = {Razvan Gurau and Vincent Rivasseau and Alessandro Sfondrini},
  journal= {arXiv preprint arXiv:1401.5003},
  year   = {2014}
}

Comments

Review, 130 pages, 33 figures; v2: misprints corrected, refs. added, minor improvements; v3: some changes to sect. 5, refs. added

R2 v1 2026-06-22T02:50:11.591Z