Related papers: Covariant quantum field theory of tachyons

Covariant quantum field theory of tachyons

URL: http://arxiv.org/abs/2308.00450v2
Date: Tue, 25 Jun 2024 13:16:00 GMT
Title: Covariant quantum field theory of tachyons
Authors: Jerzy Paczos, Kacper Dębski, Szymon Cedrowski, Szymon Charzyński, Krzysztof Turzyński, Artur Ekert, Andrzej Dragan,
Abstract summary: Three major misconceptions concerning quantized tachyon fields are shown to be a result of misrepresenting the Lorentz group in a too small Hilbert space. We establish an explicitly covariant framework that allows for the proper quantization of the tachyon fields eliminating all of these issues.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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.

Related papers

On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures [50.24983453990065]
We show the ability to restore states of quantum systems from evolution induced by quantum dynamical semigroups perturbed by covariant measures. Our procedure describes reconstruction of quantum states transmitted via quantum channels and as a particular example can be applied to reconstruction of photonic states transmitted via optical fibers.
arXiv Detail & Related papers (2023-12-02T09:56:00Z)
Generalization of Gisin's Theorem to Quantum Fields [0.0]
We show that any pure state of the field which contains entanglement between two groups of separated modes violates some Clauser-Horne inequality. We also show that our generalization of Gisin's theorem holds for the case of states on non-separable Hilbert spaces.
arXiv Detail & Related papers (2023-08-28T22:08:42Z)
Entropic distinguishability of quantum fields in phase space [0.0]
We present a way of quantifying the entropic uncertainty of quantum field configurations in phase space. Our approach is based on the functional Husimi $Q$-distribution and a suitably chosen relative entropy. We provide a quantitative interpretation of the role of the uncertainty principle for quantum phase transitions.
arXiv Detail & Related papers (2023-07-12T12:31:38Z)
Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z)
Quantum conformal symmetries for spacetimes in superposition [0.0]
We build an explicit quantum operator that can map states describing a quantum field on a superposition of spacetimes to states representing a quantum field with a superposition of masses on a Minkowski background. It can be used to import the phenomenon of particle production in curved spacetime to its conformally equivalent counterpart, thus revealing new features in modified Minkowski spacetime.
arXiv Detail & Related papers (2022-06-30T18:00:02Z)
Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
arXiv Detail & Related papers (2022-04-24T13:32:45Z)
Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
arXiv Detail & Related papers (2022-04-07T15:39:21Z)
Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance [117.44028458220427]
We analyze the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts. A given combination of these quantum resources is shown to form a Lorentz invariant.
arXiv Detail & Related papers (2021-11-26T17:22:59Z)
Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole [0.0]
We consider the problem of quantizing a particle on a 2-sphere. We construct the Hilbert space directly from the symmetry algebra. We show how the Casimir invariants of the algebra determine the bundle topology.
arXiv Detail & Related papers (2020-11-10T04:42:08Z)
Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories [55.53519491066413]
We find pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace. We analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories.
arXiv Detail & Related papers (2020-09-24T18:00:13Z)

This list is automatically generated from the titles and abstracts of the papers in this site.