Living with spontaneously broken BRST symmetry. II. Poincaré invariance

Martin Schaden, Daniel Zwanziger

    Research output: Contribution to journalArticlepeer-review


    Due to internal symmetries of its ghost sector, the Poincaré generators of the Gribov-Zwanziger (GZ) model are not unique. The model apparently has two linearly independent symmetric and conserved energy-momentum tensors. We show that these energy-momentum tensors are physically equivalent and differ by unobservable conserved currents only. There is a single physical energy-momentum operator that is invariant under all symmetries of the ghost sector, including Becchi-Rouet-Stora-Tyutin (BRST). This resolves concerns about Poincaré invariance raised by the explicit x-dependence of the BRST operator. The energy, momentum, and angular momentum of physical states are well-defined quantities that vanish for the ground state of this theory. We obtain and discuss the physical Ward identities resulting from Poincaré invariance.

    Original languageEnglish (US)
    Article number025002
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Issue number2
    StatePublished - Jul 1 2015

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics
    • Physics and Astronomy (miscellaneous)


    Dive into the research topics of 'Living with spontaneously broken BRST symmetry. II. Poincaré invariance'. Together they form a unique fingerprint.

    Cite this