Gribov horizon and i-particles: About a toy model and the construction of physical operators

L. Baulieu, D. Dudal, M. S. Guimaraes, M. Q. Huber, S. P. Sorella, N. Vandersickel, D. Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    Restricting the functional integral to the Gribov region Ω leads to a deep modification of the behavior of Euclidean Yang-Mills theories in the infrared region. For example, a gluon propagator of the Gribov type, k2k4+γ^4, can be viewed as a propagating pair of unphysical modes, called here i-particles, with complex masses ±iγ ^2. From this viewpoint, gluons are unphysical and one can see them as being confined. We introduce a simple toy model describing how a suitable set of composite operators can be constructed out of i-particles whose correlation functions exhibit only real branch cuts, with associated positive spectral density. These composite operators can thus be called physical and are the toy analogy of glueballs in the Gribov-Zwanziger theory.

    Original languageEnglish (US)
    Article number025021
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume82
    Issue number2
    DOIs
    StatePublished - Jul 30 2010

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    horizon
    operators
    composite materials
    gluons
    Yang-Mills theory
    propagation

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Baulieu, L., Dudal, D., Guimaraes, M. S., Huber, M. Q., Sorella, S. P., Vandersickel, N., & Zwanziger, D. (2010). Gribov horizon and i-particles: About a toy model and the construction of physical operators. Physical Review D - Particles, Fields, Gravitation and Cosmology, 82(2), [025021]. https://doi.org/10.1103/PhysRevD.82.025021

    Gribov horizon and i-particles : About a toy model and the construction of physical operators. / Baulieu, L.; Dudal, D.; Guimaraes, M. S.; Huber, M. Q.; Sorella, S. P.; Vandersickel, N.; Zwanziger, D.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 82, No. 2, 025021, 30.07.2010.

    Research output: Contribution to journalArticle

    Baulieu, L. ; Dudal, D. ; Guimaraes, M. S. ; Huber, M. Q. ; Sorella, S. P. ; Vandersickel, N. ; Zwanziger, D. / Gribov horizon and i-particles : About a toy model and the construction of physical operators. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2010 ; Vol. 82, No. 2.
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