IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/121435.html
   My bibliography  Save this paper

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

Author

Listed:
  • Farinelli, Simone
  • Tibiletti, Luisa

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.

Suggested Citation

  • Farinelli, Simone & Tibiletti, Luisa, 2024. "Construction of a quantum Yang-Mills theory over the Minkowski space," MPRA Paper 121435, University Library of Munich, Germany, revised 10 Jul 2024.
    • Handle: RePEc:pra:mprapa:121435
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/121435/1/MPRA_paper_121435.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    Constructive Quantum Field Theory; Yang-Mills Theory; Mass Gap;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:121435. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.