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Covariant quantum field theory of tachyons

Quantum Physics 2024-06-26 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory

Abstract

Three major misconceptions concerning quantized tachyon fields: the energy spectrum unbounded from below, the frame-dependent and unstable vacuum state, and the non-covariant 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. [1] as a preferred interpretation of the quantum theory.

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Cite

@article{arxiv.2308.00450,
  title  = {Covariant quantum field theory of tachyons},
  author = {Jerzy Paczos and Kacper Dębski and Szymon Cedrowski and Szymon Charzyński and Krzysztof Turzyński and Artur Ekert and Andrzej Dragan},
  journal= {arXiv preprint arXiv:2308.00450},
  year   = {2024}
}

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5 pages