دورية أكاديمية
Removal of instabilities of the higher derivative theories in the light of antilinearity
العنوان: | Removal of instabilities of the higher derivative theories in the light of antilinearity |
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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 |
تدمد: | 14346044 14346052 |
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DOI: | 10.1140/epjc/s10052-021-09553-3 |