Ensuring locality in QFT via string-local fields
Abstract
String-local fields constitute a relatively new tool for solving quantum field theory, stressing and embodying locality and positivity. We examine here their usefulness -- as well as some drawbacks. Starting from just the physical masses and charges of the known particles, and bringing string independence in the Bogoliubov-Epstein-Glaser (BEG) theory framework, regarded as a means of discovery, one finds the allowed couplings of quantum fields associated to those particles, and thereby recovers all of the Standard Model (SM) without invoking theoretical prejudices. One of the outcomes is the requirement that the fields be governed by reductive Lie algebras. Another is the need for at least one scalar particle. Yet another is chirality of interactions mediated by massive particles. There is no room in this formulation for ``global'' gauge invariance as an a priori construct. Armed with this modern weapon, we reassess here a few classical and recent conundra. In particular, we examine new perspectives in cosmology from the adoption of string-local fields.
Cite
@article{arxiv.2207.06522,
title = {Ensuring locality in QFT via string-local fields},
author = {José M. Gracia-Bondía and Joseph C. Várilly},
journal= {arXiv preprint arXiv:2207.06522},
year = {2023}
}
Comments
Latex, 25 pages, no figures; v2: two references added. v3: minor corrections, adding 2 more references and a more informative title. These are (enlarged) lecture notes of the conference on "Higher Structures Emerging from Renormalisation", Erwin Schr\"odinger Institute, Vienna, November 2021