Kink solutions with power law tails
We present a comprehensive review about the various facets of kink solutions with a power law tail, which have received considerable attention during the last few years. This area of research is in its early stages; although several aspects have become clear by now, there are a number of issues whic...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-09-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.992915/full |
| _version_ | 1818016314833240064 |
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| author | Avinash Khare Avadh Saxena |
| author_facet | Avinash Khare Avadh Saxena |
| author_sort | Avinash Khare |
| collection | DOAJ |
| description | We present a comprehensive review about the various facets of kink solutions with a power law tail, which have received considerable attention during the last few years. This area of research is in its early stages; although several aspects have become clear by now, there are a number of issues which have only been partially understood or not understood at all. We first discuss the aspects which are reasonably well known and then address in some detail the issues which are only partially or not understood at all. We present a wide class of higher (than sixth) order field theory models admitting implicit kink as well as mirror kink solutions where the two tails facing each other have a power law or a power-tower type fall off, whereas the other two ends not facing each other could have either an exponential or a power law tail. The models admitting implicit kink solutions where the two ends facing each other have an exponential tail while the other two ends have a power law tail are also discussed. Moreover, we present several field theory models which admit explicit kink solutions with a power law fall off; we note that in all these polynomial models while the potential V(ϕ) is continuous, its derivative is discontinuous. We also discuss one of the most important and only partially understood issues of the kink–kink and the kink–antikink forces in case the tails facing each other have a power law fall off. Finally, we briefly discuss the kink–antikink collisions at finite velocity and present some open questions. |
| first_indexed | 2024-04-14T07:10:39Z |
| format | Article |
| id | doaj.art-a6e90e1b63e94cf3b27a363e55c10652 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-14T07:10:39Z |
| publishDate | 2022-09-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-a6e90e1b63e94cf3b27a363e55c106522022-12-22T02:06:27ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-09-011010.3389/fphy.2022.992915992915Kink solutions with power law tailsAvinash Khare0Avadh Saxena1Physics Department, Savitribai Phule Pune University, Pune, IndiaTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, United StatesWe present a comprehensive review about the various facets of kink solutions with a power law tail, which have received considerable attention during the last few years. This area of research is in its early stages; although several aspects have become clear by now, there are a number of issues which have only been partially understood or not understood at all. We first discuss the aspects which are reasonably well known and then address in some detail the issues which are only partially or not understood at all. We present a wide class of higher (than sixth) order field theory models admitting implicit kink as well as mirror kink solutions where the two tails facing each other have a power law or a power-tower type fall off, whereas the other two ends not facing each other could have either an exponential or a power law tail. The models admitting implicit kink solutions where the two ends facing each other have an exponential tail while the other two ends have a power law tail are also discussed. Moreover, we present several field theory models which admit explicit kink solutions with a power law fall off; we note that in all these polynomial models while the potential V(ϕ) is continuous, its derivative is discontinuous. We also discuss one of the most important and only partially understood issues of the kink–kink and the kink–antikink forces in case the tails facing each other have a power law fall off. Finally, we briefly discuss the kink–antikink collisions at finite velocity and present some open questions.https://www.frontiersin.org/articles/10.3389/fphy.2022.992915/fullkink tailspower law tailskink collisionsstability analysishigher order field theoriespower-tower tail |
| spellingShingle | Avinash Khare Avadh Saxena Kink solutions with power law tails Frontiers in Physics kink tails power law tails kink collisions stability analysis higher order field theories power-tower tail |
| title | Kink solutions with power law tails |
| title_full | Kink solutions with power law tails |
| title_fullStr | Kink solutions with power law tails |
| title_full_unstemmed | Kink solutions with power law tails |
| title_short | Kink solutions with power law tails |
| title_sort | kink solutions with power law tails |
| topic | kink tails power law tails kink collisions stability analysis higher order field theories power-tower tail |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2022.992915/full |
| work_keys_str_mv | AT avinashkhare kinksolutionswithpowerlawtails AT avadhsaxena kinksolutionswithpowerlawtails |