دورية أكاديمية

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

التفاصيل البيبلوغرافية
العنوان: Removal of instabilities of the higher derivative theories in the light of antilinearity
المؤلفون: Biswajit Paul, Himangshu Dhar, Biswajit Saha
المصدر: European Physical Journal C: Particles and Fields, Vol 81, Iss 8, Pp 1-6 (2021)
بيانات النشر: SpringerOpen, 2021.
سنة النشر: 2021
المجموعة: LCC:Astrophysics
LCC:Nuclear and particle physics. Atomic energy. Radioactivity
مصطلحات موضوعية: Astrophysics, QB460-466, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798
الوصف: 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.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1434-6044
1434-6052
Relation: https://doaj.org/toc/1434-6044; https://doaj.org/toc/1434-6052
DOI: 10.1140/epjc/s10052-021-09553-3
URL الوصول: https://doaj.org/article/9ee513a0cc9e4b9b8e3a9ecf5d974e69
رقم الأكسشن: edsdoj.9ee513a0cc9e4b9b8e3a9ecf5d974e69
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:14346044
14346052
DOI:10.1140/epjc/s10052-021-09553-3