Construction of a quantum Yang-Mills theory over the Minkowski space

Simone Farinelli and Luisa Tibiletti

MPRA Paper from University Library of Munich, Germany

Abstract: A quantization procedure for the Yang-Mills equations for the Minkowski space R 1,3 is carried out in such a way that fi eld maps satisfying Wightman axioms of Constructive Quantum Field Theory can be obtained. Moreover, by removing the infrared and ultraviolet cutoff s, the spectrum of the corresponding (non-local) QCD Hamilton operator is proven to be positive and bounded away from zero, except for the case of the vacuum state, which has vanishing energy level. The whole construction is invariant for all gauge transformations preserving the Coulomb gauge. As expected from QED, if the coupling constant converges to zero, then so does the mass gap. This is the case for the running coupling constant leading to asymptotic freedom.

Keywords: Constructive Quantum Field Theory; Yang-Mills Theory; Mass Gap (search for similar items in EconPapers)
JEL-codes: C0 C3 (search for similar items in EconPapers)
Date: 2024-07-10, Revised 2024-07-10
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://mpra.ub.uni-muenchen.de/121435/1/MPRA_paper_121435.pdf original version (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:121435

Access Statistics for this paper

More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.
Bibliographic data for series maintained by Joachim Winter ().