English

Flow Equations for U_k and Z_k

High Energy Physics - Theory 2009-10-31 v1

Abstract

By considering the gradient expansion for the wilsonian effective action S_k of a single component scalar field theory truncated to the first two terms, the potential U_k and the kinetic term Z_k, I show that the recent claim that different expansion of the fluctuation determinant give rise to different renormalization group equations for Z_k is incorrect. The correct procedure to derive this equation is presented and the set of coupled differential equations for U_k and Z_k is definitely established.

Cite

@article{arxiv.hep-th/9912141,
  title  = {Flow Equations for U_k and Z_k},
  author = {Vincenzo Branchina},
  journal= {arXiv preprint arXiv:hep-th/9912141},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-07-22T16:18:50.702Z