A domain wall is a type of topological soliton that occurs whenever a discrete symmetry is spontaneously broken. Domain walls are also sometimes called kinks in analogy with closely related kink solution of the sine-Gordon model or models with polynomial potentials.[1][2][3] Unstable domain walls can also appear if spontaneously broken discrete symmetry is approximate and there is a false vacuum.
A domain (hyper volume) is extended in three spatial dimensions and one time dimension. A domain wall is the boundary between two neighboring domains. Thus a domain wall is extended in two spatial dimensions and one time dimension.
Besides these important cases similar solitons appear in wide spectrum of the models. Here are other examples:
Early in the universe, spontaneous breaking of discrete symmetries produced domain walls. The resulting network of domain walls influenced the late stages of cosmological inflation and the cosmic microwave background radiation. Observations constrain the existence of stable domain walls. Models beyond the Standard Model can account for those constraints. Unstable cosmic domain walls may decay and produce observable radiation.
There exist a class of the braneworld models where the brane is assumed to be a domain wall formed by interacting extra-dimensional fields.[4][5] The matter is localized due to the interaction with this configuration and can leave it at sufficiently high energies. The jargon term for this domain wall is "thick brane" in contrast to the "thin brane" of the models where it is described as delta-potential or simply as some ideal surface with matter fields on it.
Referencesedit
^Lohe, M.A. (1979). "Soliton structures in $P(\phi)_2$". Physical Review D. 20 (12): 3120–3130. Bibcode:1979PhRvD..20.3120L. doi:10.1103/PhysRevD.20.3120.
^Gani, V.A.; Kudryavtsev, A.E.; Lizunova, M.A. (2014). "Kink interactions in the (1+1)-dimensional φ^6 model". Physical Review D. 89 (12): 125009. arXiv:1402.5903. Bibcode:2014PhRvD..89l5009G. doi:10.1103/PhysRevD.89.125009. S2CID 119333950.
^Gani, V.A.; Lensky, V.; Lizunova, M.A. (2015). "Kink excitation spectra in the (1+1)-dimensional φ^8 model". Journal of High Energy Physics. 2015 (8): 147. arXiv:1506.02313. doi:10.1007/JHEP08(2015)147. ISSN 1029-8479. S2CID 54184500.
^V. A. Rubakov and M. E. Shaposhnikov, Do we live inside a domain wall?, Physics Letters B 125 (1983), 136–138.
^V. Dzhunushaliev, V. Folomeev, M. Minamitsuji, Thick brane solutions, Rept.Prog.Phys. 73 (2010).
Further readingedit
Vachaspati, Tanmay (2006). Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons. Cambridge University Press.
External linksedit
The dictionary definition of domain wall at Wiktionary
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domain, wall, this, article, technical, most, readers, understand, please, help, improve, make, understandable, experts, without, removing, technical, details, november, 2016, learn, when, remove, this, template, message, domain, wall, type, topological, solit. This article may be too technical for most readers to understand Please help improve it to make it understandable to non experts without removing the technical details November 2016 Learn how and when to remove this template message A domain wall is a type of topological soliton that occurs whenever a discrete symmetry is spontaneously broken Domain walls are also sometimes called kinks in analogy with closely related kink solution of the sine Gordon model or models with polynomial potentials 1 2 3 Unstable domain walls can also appear if spontaneously broken discrete symmetry is approximate and there is a false vacuum A domain hyper volume is extended in three spatial dimensions and one time dimension A domain wall is the boundary between two neighboring domains Thus a domain wall is extended in two spatial dimensions and one time dimension Important examples are Domain wall magnetism an interface separating magnetic domains Domain wall optics for domain walls in optics Domain wall string theory a theoretical 2 dimensional singularityBesides these important cases similar solitons appear in wide spectrum of the models Here are other examples Early in the universe spontaneous breaking of discrete symmetries produced domain walls The resulting network of domain walls influenced the late stages of cosmological inflation and the cosmic microwave background radiation Observations constrain the existence of stable domain walls Models beyond the Standard Model can account for those constraints Unstable cosmic domain walls may decay and produce observable radiation There exist a class of the braneworld models where the brane is assumed to be a domain wall formed by interacting extra dimensional fields 4 5 The matter is localized due to the interaction with this configuration and can leave it at sufficiently high energies The jargon term for this domain wall is thick brane in contrast to the thin brane of the models where it is described as delta potential or simply as some ideal surface with matter fields on it References edit Lohe M A 1979 Soliton structures in P phi 2 Physical Review D 20 12 3120 3130 Bibcode 1979PhRvD 20 3120L doi 10 1103 PhysRevD 20 3120 Gani V A Kudryavtsev A E Lizunova M A 2014 Kink interactions in the 1 1 dimensional f 6 model Physical Review D 89 12 125009 arXiv 1402 5903 Bibcode 2014PhRvD 89l5009G doi 10 1103 PhysRevD 89 125009 S2CID 119333950 Gani V A Lensky V Lizunova M A 2015 Kink excitation spectra in the 1 1 dimensional f 8 model Journal of High Energy Physics 2015 8 147 arXiv 1506 02313 doi 10 1007 JHEP08 2015 147 ISSN 1029 8479 S2CID 54184500 V A Rubakov and M E Shaposhnikov Do we live inside a domain wall Physics Letters B 125 1983 136 138 V Dzhunushaliev V Folomeev M Minamitsuji Thick brane solutions Rept Prog Phys 73 2010 Further reading editVachaspati Tanmay 2006 Kinks and Domain Walls An Introduction to Classical and Quantum Solitons Cambridge University Press External links edit nbsp The dictionary definition of domain wall at Wiktionary nbsp This quantum mechanics related article is a stub You can help Wikipedia by expanding it vte nbsp This physical cosmology related article is a stub You can help Wikipedia by expanding it vte nbsp This condensed matter physics related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Domain wall amp oldid 1114262697, wikipedia, wiki, book, books, library,
