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 language | English (US) |
|---|---|
| Number of pages | 1 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 66 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 1 2002 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Band structure in classical field theory
AU - Salem, Michael
AU - Vachaspati, Tanmay
PY - 2002/1/1
Y1 - 2002/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85038343709&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85038343709&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.66.025003
DO - 10.1103/PhysRevD.66.025003
M3 - Article
AN - SCOPUS:0037101272
VL - 66
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 2
ER -