English

The numerical approach to quantum field theory in a non-commutative space

High Energy Physics - Theory 2016-11-21 v1 General Relativity and Quantum Cosmology High Energy Physics - Lattice

Abstract

Numerical simulation is an important non-perturbative tool to study quantum field theories defined in non-commutative spaces. In this contribution, a selection of results from Monte Carlo calculations for non-commutative models is presented, and their implications are reviewed. In addition, we also discuss how related numerical techniques have been recently applied in computer simulations of dimensionally reduced supersymmetric theories.

Keywords

Cite

@article{arxiv.1601.01176,
  title  = {The numerical approach to quantum field theory in a non-commutative space},
  author = {Marco Panero},
  journal= {arXiv preprint arXiv:1601.01176},
  year   = {2016}
}

Comments

15 pages, 6 figures, invited talk presented at the Humboldt Kolleg "Open Problems in Theoretical Physics: the Issue of Quantum Space-Time", to appear in the proceedings of the Corfu Summer Institute 2015 "School and Workshops on Elementary Particle Physics and Gravity" (Corfu, Greece, 1-27 September 2015)