Towards a quantum theory of solitons

Gia Dvali, Cesar Gomez, Lukas Gruending, Tehseen Rug

    Research output: Contribution to journalArticle

    Abstract

    We formulate a quantum coherent state picture for topological and non-topological solitons. We recognize that the topological charge arises from the infinite occupation number of zero momentum quanta flowing in one direction. Thus, the Noether charge of microscopic constituents gives rise to a topological charge in the macroscopic description. This fact explains the conservation of topological charge from the basic properties of coherent states. It also shows that no such conservation exists for non-topological solitons, which have finite mean occupation number. Consequently, they can have an exponentially-small but non-zero overlap with the vacuum, leading to vacuum instability. This amplitude can be interpreted as a coherent state description of false vacuum decay. Next we show that we can represent topological solitons as a convolution of two sectors that carry information about topology and energy separately, which makes their difference very transparent. Finally, we show how interaction among the solitons can be understood from basic properties of quantum coherent states.

    Original languageEnglish (US)
    Pages (from-to)338-353
    Number of pages16
    JournalNuclear Physics, Section B
    Volume901
    DOIs
    StatePublished - Dec 1 2015

    Fingerprint

    quantum theory
    solitary waves
    occupation
    vacuum
    conservation
    convolution integrals
    sectors
    topology
    momentum
    decay
    interactions
    energy

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Dvali, G., Gomez, C., Gruending, L., & Rug, T. (2015). Towards a quantum theory of solitons. Nuclear Physics, Section B, 901, 338-353. https://doi.org/10.1016/j.nuclphysb.2015.10.017

    Towards a quantum theory of solitons. / Dvali, Gia; Gomez, Cesar; Gruending, Lukas; Rug, Tehseen.

    In: Nuclear Physics, Section B, Vol. 901, 01.12.2015, p. 338-353.

    Research output: Contribution to journalArticle

    Dvali, G, Gomez, C, Gruending, L & Rug, T 2015, 'Towards a quantum theory of solitons', Nuclear Physics, Section B, vol. 901, pp. 338-353. https://doi.org/10.1016/j.nuclphysb.2015.10.017
    Dvali, Gia ; Gomez, Cesar ; Gruending, Lukas ; Rug, Tehseen. / Towards a quantum theory of solitons. In: Nuclear Physics, Section B. 2015 ; Vol. 901. pp. 338-353.
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