Covariant quantum field theory of tachyons

Three major misconceptions concerning quantized tachyon fields, the energy spectrum unbounded from below, the frame-dependent and unstable vacuum state, and the noncovariant commutation rules, are shown to be a result of misrepresenting the Lorentz group in a too small Hilbert space. By doubling thi...

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Main Authors: Paczos, J, Dębski, K, Cedrowski, S, Charzyński, S, Turzyński, K, Ekert, A, Dragan, A
Format: Journal article
Language:English
Published: American Physical Society 2024
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author Paczos, J
Dębski, K
Cedrowski, S
Charzyński, S
Turzyński, K
Ekert, A
Dragan, A
author_facet Paczos, J
Dębski, K
Cedrowski, S
Charzyński, S
Turzyński, K
Ekert, A
Dragan, A
author_sort Paczos, J
collection OXFORD
description Three major misconceptions concerning quantized tachyon fields, the energy spectrum unbounded from below, the frame-dependent and unstable vacuum state, and the noncovariant commutation rules, are shown to be a result of misrepresenting the Lorentz group in a too small Hilbert space. By doubling this space we establish an explicitly covariant framework that allows for the proper quantization of the tachyon fields eliminating all of these issues. Our scheme that is derived to maintain the relativistic covariance also singles out the two-state formalism developed by Aharonov et al. [Phys. Rev. 134, B1410 (1964)PHRVAO0031-899X10.1103/PhysRev.134.B1410] as a preferred interpretation of the quantum theory.
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spelling oxford-uuid:a32301ed-e74b-4702-96e7-bd018568a5e82024-08-02T12:57:41ZCovariant quantum field theory of tachyonsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a32301ed-e74b-4702-96e7-bd018568a5e8EnglishSymplectic ElementsAmerican Physical Society2024Paczos, JDębski, KCedrowski, SCharzyński, STurzyński, KEkert, ADragan, AThree major misconceptions concerning quantized tachyon fields, the energy spectrum unbounded from below, the frame-dependent and unstable vacuum state, and the noncovariant commutation rules, are shown to be a result of misrepresenting the Lorentz group in a too small Hilbert space. By doubling this space we establish an explicitly covariant framework that allows for the proper quantization of the tachyon fields eliminating all of these issues. Our scheme that is derived to maintain the relativistic covariance also singles out the two-state formalism developed by Aharonov et al. [Phys. Rev. 134, B1410 (1964)PHRVAO0031-899X10.1103/PhysRev.134.B1410] as a preferred interpretation of the quantum theory.
spellingShingle Paczos, J
Dębski, K
Cedrowski, S
Charzyński, S
Turzyński, K
Ekert, A
Dragan, A
Covariant quantum field theory of tachyons
title Covariant quantum field theory of tachyons
title_full Covariant quantum field theory of tachyons
title_fullStr Covariant quantum field theory of tachyons
title_full_unstemmed Covariant quantum field theory of tachyons
title_short Covariant quantum field theory of tachyons
title_sort covariant quantum field theory of tachyons
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AT debskik covariantquantumfieldtheoryoftachyons
AT cedrowskis covariantquantumfieldtheoryoftachyons
AT charzynskis covariantquantumfieldtheoryoftachyons
AT turzynskik covariantquantumfieldtheoryoftachyons
AT ekerta covariantquantumfieldtheoryoftachyons
AT dragana covariantquantumfieldtheoryoftachyons