English

Multi-scale methods in quantum field theory

High Energy Physics - Lattice 2018-04-18 v1 High Energy Physics - Theory Nuclear Theory

Abstract

Daubechies wavelets are used to make an exact multi-scale decomposition of quantum fields. For reactions that involve a finite energy that take place in a finite volume, the number of relevant quantum mechanical degrees of freedom is finite. The wavelet decomposition has natural resolution and volume truncations that can be used to isolate the relevant degrees of freedom. The application of flow equation methods to construct effective theories that decouple coarse and fine scale degrees of freedom is examined.

Keywords

Cite

@article{arxiv.1712.00054,
  title  = {Multi-scale methods in quantum field theory},
  author = {W. N. Polyzou and Tracie Michlin and Fatih Bulut},
  journal= {arXiv preprint arXiv:1712.00054},
  year   = {2018}
}

Comments

6 pages, 4 figures, contribution to light cone 2017 - Mumbai, India

R2 v1 2026-06-22T23:03:00.275Z