Extended multi-scalar field theories in $$(1+1)$$ ( 1 + 1 ) dimensions
Abstract We present the explicit construction of some multi-scalar field theories in $$(1+1$$ ( 1 + 1 ) dimensions supporting BPS (Bogomol’nyi–Prasad–Sommerfield) kink solutions. The construction is based on the ideas of the so-called extension method. In particular, several new interesting two-scal...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-020-08724-y |
| Summary: | Abstract We present the explicit construction of some multi-scalar field theories in $$(1+1$$ ( 1 + 1 ) dimensions supporting BPS (Bogomol’nyi–Prasad–Sommerfield) kink solutions. The construction is based on the ideas of the so-called extension method. In particular, several new interesting two-scalar and three-scalar field theories are explicitly constructed from non-trivial couplings between well-known one-scalar field theories. The BPS solutions of the original one-field systems will be also BPS solutions of the multi-scalar system by construction, and therefore we will analyse their linear stability properties for the constructed models. |
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| ISSN: | 1434-6044 1434-6052 |