2016
DOI: 10.1142/s0219887817500128
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More about the instanton/soliton/kink correspondence

Abstract: We demonstrate that all gauge instantons in a d = 3 + 1 Yang-Mills theory, with generic topological vacuum charge K, correspond to soliton solutions and kink scalar fields in d = 4 + 1 space-time.

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Cited by 6 publications
(5 citation statements)
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“…Moreover, the fact that instantons are in correspondence with solitons in higher dimensions (see for example Ref. [47]) suggests the existence of a class of a-deformed solitons including monopoles living within a lifetime limit fixed by the evanescence bound. Superoscillations and tunneling were discussed in relations with superluminality (see Refs.…”
Section: Tunneling From Barrier Potentialsmentioning
confidence: 99%
“…Moreover, the fact that instantons are in correspondence with solitons in higher dimensions (see for example Ref. [47]) suggests the existence of a class of a-deformed solitons including monopoles living within a lifetime limit fixed by the evanescence bound. Superoscillations and tunneling were discussed in relations with superluminality (see Refs.…”
Section: Tunneling From Barrier Potentialsmentioning
confidence: 99%
“…Indeed, there is a correspondence among instantons and solitons (see for Example Ref. [29]). For example, in non-abelian Yang-Mills theories coupled to a scalar Higgs field, instantons can be interpreted as tunnelings of monopoles or antimonopoles out from domain walls or a Josephson junction [30].…”
Section: Introduction and Main Ideasmentioning
confidence: 99%
“…Indeed, there is a correspondence among instantons and solitons (see for Example Ref. [25]). For example, in non-abelian Yang-Mills theories coupled to a scalar Higgs field, instantons can be interpreted as tunnelings of monopoles or antimonopoles out from domain walls or a Josephson junction [26].…”
Section: Introduction and Main Ideasmentioning
confidence: 99%