New universality classes for two-dimensional σ-models

Sergio Caracciolo, Robert G. Edwards, Andrea Pelissetto, Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    We argue that the two-dimensional O(N)-invariant lattice σ-model with mixed isovector/isotensor action has a one-parameter family of nontrivial continuum limits, only one of which is the continuum σ-model constructed by conventional pertubation theory. We test the proposed scenario with a high-precision Monte Carlo simulation for N = 3, 4 on lattices up to 512 × 512, using a Wolff-type embedding algorithm. The finite-size-scaling data confirm the existence of the predicted new family of continuum limits. In particular, the RPN-1 and N-vector models do not lie in the same universality class.

    Original languageEnglish (US)
    Pages (from-to)129-134
    Number of pages6
    JournalNuclear Physics B - Proceedings Supplements
    Volume34
    Issue numberC
    DOIs
    StatePublished - 1994

    Fingerprint

    two dimensional models
    continuums
    embedding
    scaling
    simulation

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    New universality classes for two-dimensional σ-models. / Caracciolo, Sergio; Edwards, Robert G.; Pelissetto, Andrea; Sokal, Alan D.

    In: Nuclear Physics B - Proceedings Supplements, Vol. 34, No. C, 1994, p. 129-134.

    Research output: Contribution to journalArticle

    Caracciolo, S, Edwards, RG, Pelissetto, A & Sokal, AD 1994, 'New universality classes for two-dimensional σ-models', Nuclear Physics B - Proceedings Supplements, vol. 34, no. C, pp. 129-134. https://doi.org/10.1016/0920-5632(94)90328-X
    Caracciolo, Sergio ; Edwards, Robert G. ; Pelissetto, Andrea ; Sokal, Alan D. / New universality classes for two-dimensional σ-models. In: Nuclear Physics B - Proceedings Supplements. 1994 ; Vol. 34, No. C. pp. 129-134.
    @article{440a3f0f75d340ce898c1a257d85a064,
    title = "New universality classes for two-dimensional σ-models",
    abstract = "We argue that the two-dimensional O(N)-invariant lattice σ-model with mixed isovector/isotensor action has a one-parameter family of nontrivial continuum limits, only one of which is the continuum σ-model constructed by conventional pertubation theory. We test the proposed scenario with a high-precision Monte Carlo simulation for N = 3, 4 on lattices up to 512 × 512, using a Wolff-type embedding algorithm. The finite-size-scaling data confirm the existence of the predicted new family of continuum limits. In particular, the RPN-1 and N-vector models do not lie in the same universality class.",
    author = "Sergio Caracciolo and Edwards, {Robert G.} and Andrea Pelissetto and Sokal, {Alan D.}",
    year = "1994",
    doi = "10.1016/0920-5632(94)90328-X",
    language = "English (US)",
    volume = "34",
    pages = "129--134",
    journal = "Nuclear and Particle Physics Proceedings",
    issn = "2405-6014",
    publisher = "Elsevier",
    number = "C",

    }

    TY - JOUR

    T1 - New universality classes for two-dimensional σ-models

    AU - Caracciolo, Sergio

    AU - Edwards, Robert G.

    AU - Pelissetto, Andrea

    AU - Sokal, Alan D.

    PY - 1994

    Y1 - 1994

    N2 - We argue that the two-dimensional O(N)-invariant lattice σ-model with mixed isovector/isotensor action has a one-parameter family of nontrivial continuum limits, only one of which is the continuum σ-model constructed by conventional pertubation theory. We test the proposed scenario with a high-precision Monte Carlo simulation for N = 3, 4 on lattices up to 512 × 512, using a Wolff-type embedding algorithm. The finite-size-scaling data confirm the existence of the predicted new family of continuum limits. In particular, the RPN-1 and N-vector models do not lie in the same universality class.

    AB - We argue that the two-dimensional O(N)-invariant lattice σ-model with mixed isovector/isotensor action has a one-parameter family of nontrivial continuum limits, only one of which is the continuum σ-model constructed by conventional pertubation theory. We test the proposed scenario with a high-precision Monte Carlo simulation for N = 3, 4 on lattices up to 512 × 512, using a Wolff-type embedding algorithm. The finite-size-scaling data confirm the existence of the predicted new family of continuum limits. In particular, the RPN-1 and N-vector models do not lie in the same universality class.

    UR - http://www.scopus.com/inward/record.url?scp=33750258837&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=33750258837&partnerID=8YFLogxK

    U2 - 10.1016/0920-5632(94)90328-X

    DO - 10.1016/0920-5632(94)90328-X

    M3 - Article

    VL - 34

    SP - 129

    EP - 134

    JO - Nuclear and Particle Physics Proceedings

    JF - Nuclear and Particle Physics Proceedings

    SN - 2405-6014

    IS - C

    ER -