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...
Main Authors: | , , , , , , |
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Format: | Journal article |
Language: | English |
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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. |
first_indexed | 2024-09-25T04:20:50Z |
format | Journal article |
id | oxford-uuid:a32301ed-e74b-4702-96e7-bd018568a5e8 |
institution | University of Oxford |
language | English |
last_indexed | 2024-09-25T04:20:50Z |
publishDate | 2024 |
publisher | American Physical Society |
record_format | dspace |
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 |
work_keys_str_mv | AT paczosj covariantquantumfieldtheoryoftachyons AT debskik covariantquantumfieldtheoryoftachyons AT cedrowskis covariantquantumfieldtheoryoftachyons AT charzynskis covariantquantumfieldtheoryoftachyons AT turzynskik covariantquantumfieldtheoryoftachyons AT ekerta covariantquantumfieldtheoryoftachyons AT dragana covariantquantumfieldtheoryoftachyons |