Removal of instabilities of the higher derivative theories in the light of antilinearity

Autor: Biswajit Paul, Himangshu Dhar, Biswajit Saha
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 81, Iss 8, Pp 1-6 (2021)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-021-09553-3
Popis: Abstract Theories with higher derivatives involve linear instabilities in the Hamiltonian commonly known as Ostrogradski ghosts and can be viewed as a very serious problem during quantization. To cure this, we have considered the properties of antilinearity that can be found inherently in the non-Hermitian Hamiltonians. Owing to the existence of antilinearity, we can construct an operator, called the V-operator, which acts as an intertwining operator between the Hamiltonian and its Hermitian conjugate. We have used this V-operator to remove the linear momentum term from the higher derivative Hamiltonian by making it non-Hermitian in the first place via an isospectral similarity transformation. The final form of the Hamiltonian is free from the Ostrogradski ghosts under some restriction on the mass term.
Databáze: Directory of Open Access Journals
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