General first-order mass ladder operators for Klein-Gordon fields
High Energy Physics - Theory
2017-12-27 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We study the ladder operator on scalar fields, mapping a solution of the Klein-Gordon equation onto another solution with a different mass, when the operator is at most first order in derivatives. Imposing the commutation relation between the d'Alembertian, we obtain the general condition for the ladder operator, which contains a non-trivial case which was not discussed in the previous work [V. Cardoso, T. Houri and M. Kimura, Phys.Rev.D 96, 024044 (2017), arXiv:1706.07339]. We also discuss the relation with supersymmetric quantum mechanics.
Cite
@article{arxiv.1707.08534,
title = {General first-order mass ladder operators for Klein-Gordon fields},
author = {Vitor Cardoso and Tsuyoshi Houri and Masashi Kimura},
journal= {arXiv preprint arXiv:1707.08534},
year = {2017}
}
Comments
24 pages, v2: minor revisions, v3: discussions improved