Band structure in classical field theory

Michael Salem, Tanmay Vachaspati

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Stability and instability bands in classical mechanics are well studied in connection with systems such as described by the Mathieu equation. We examine whether such band structure can arise in classical field theory in the context of an embedded kink in 1+1 dimensions. The static embedded kink is unstable to perturbations but we show that if the kink is dynamic it can exhibit stability in certain parameter bands. Our results are relevant for estimating the lifetimes of various embedded defects and, in particular, loops of electroweak Z string.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume66
Issue number2
DOIs
StatePublished - Jan 1 2002
Externally publishedYes

Fingerprint

Mathieu function
classical mechanics
estimating
strings
perturbation
life (durability)
defects

ASJC Scopus subject areas

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

Cite this

Band structure in classical field theory. / Salem, Michael; Vachaspati, Tanmay.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 66, No. 2, 01.01.2002.

Research output: Contribution to journalArticle

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