Duality family of scalar field
We show that there exists a duality family of self-interacting massive scalar fields. The scalar fields in a duality family are related by a duality transformation. Such a duality of scalar fields is a field version of the Newton-Hooke duality in classical mechanics. The duality transformation prese...
Saved in:
Published in | Nuclear physics. B Vol. 972; p. 115569 |
---|---|
Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
01.11.2021
Elsevier |
Online Access | Get full text |
Cover
Loading…
Summary: | We show that there exists a duality family of self-interacting massive scalar fields. The scalar fields in a duality family are related by a duality transformation. Such a duality of scalar fields is a field version of the Newton-Hooke duality in classical mechanics. The duality transformation preserves the type of the field equation: transforming a Klein-Gordon type equation to another Klein-Gordon type equation with a different self-interacting potential. Once a field in a duality family is solved, all other family members are solved by the transformation. That is, a series of exactly solvable models can be constructed from one exactly solvable model. The dual field of the power-interaction field, the sine-Gordon field, etc., are considered. Moreover, as a comparison, we show an analogue of the duality in classical and quantum mechanics. |
---|---|
ISSN: | 0550-3213 1873-1562 |
DOI: | 10.1016/j.nuclphysb.2021.115569 |