Living with spontaneously broken BRST symmetry. II. Poincaré invariance

Martin Schaden, Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    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
    Volume92
    Issue number2
    DOIs
    StatePublished - Jul 1 2015

    Fingerprint

    invariance
    kinetic energy
    symmetry
    ghosts
    sectors
    tensors
    momentum
    operators
    generators
    angular momentum
    ground state

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Living with spontaneously broken BRST symmetry. II. Poincaré invariance. / Schaden, Martin; Zwanziger, Daniel.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 92, No. 2, 025002, 01.07.2015.

    Research output: Contribution to journalArticle

    @article{312d5a859e634c5f8ef0b0ff9eef33b9,
    title = "Living with spontaneously broken BRST symmetry. II. Poincar{\'e} invariance",
    abstract = "Due to internal symmetries of its ghost sector, the Poincar{\'e} 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 Poincar{\'e} 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 Poincar{\'e} invariance.",
    author = "Martin Schaden and Daniel Zwanziger",
    year = "2015",
    month = "7",
    day = "1",
    doi = "10.1103/PhysRevD.92.025002",
    language = "English (US)",
    volume = "92",
    journal = "Physical review D: Particles and fields",
    issn = "1550-7998",
    publisher = "American Institute of Physics",
    number = "2",

    }

    TY - JOUR

    T1 - Living with spontaneously broken BRST symmetry. II. Poincaré invariance

    AU - Schaden, Martin

    AU - Zwanziger, Daniel

    PY - 2015/7/1

    Y1 - 2015/7/1

    N2 - 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.

    AB - 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.

    UR - http://www.scopus.com/inward/record.url?scp=84937128426&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84937128426&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevD.92.025002

    DO - 10.1103/PhysRevD.92.025002

    M3 - Article

    VL - 92

    JO - Physical review D: Particles and fields

    JF - Physical review D: Particles and fields

    SN - 1550-7998

    IS - 2

    M1 - 025002

    ER -