Aspects of Tachyon theory

Bose, S. K.

doi:10.1088/1742-6596/196/1/012022

Cited by 16 publications

(29 citation statements)

References 24 publications

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“…(With reference to Sec. III of this article, we should reconfirm that, by contrast, tachyons are never at rest, and remain superluminal in reference frame connected by a proper orthochronous Lorentz transformation [51][52][53][54][55].) Let us supplement this classical consideration by a full quantum calculation.…”

Section: Discussionmentioning

confidence: 83%

Neutrino helicity reversal and fundamental symmetries

Wundt¹

2014

J. Phys. G: Nucl. Part. Phys.

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A rather elusive helicity reversal occurs in a gedanken experiment in which a massive left-handed Dirac neutrino, traveling at a velocity u < c, is overtaken on a highway by a speeding vehicle (traveling at velocity v with u < v < c). Namely, after passing the neutrino, looking back, one would see a right-handed neutrino (which has never been observed in nature). The Lorentz-invariant mass of the right-handed neutrino is still the same as before the passing. The gedanken experiment thus implies the existence of right-handed, light neutrinos, which are not completely sterile. Furthermore, overtaking a bunch of massive right-handed Dirac neutrinos leads to gradual de-sterilization. We discuss the helicity reversal and the concomitant sterilization and de-sterilization mechanisms by way of an illustrative example calculation, with a special emphasis on massive Dirac and Majorana neutrinos. We contrast the formalism with a modified Dirac neutrino described by a Dirac equation with a pseudoscalar mass term proportional to the fifth current.

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Section: Discussionmentioning

confidence: 83%

Neutrino helicity reversal and fundamental symmetries

Wundt¹

2014

J. Phys. G: Nucl. Part. Phys.

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“…Thus, quantizing the scalar field v(η, x) in the R h = ct Universe, is equivalent of quantizing a free tachyon with constant mass given by m 2 = −H 2 < 0. There are various methods proposed for constructing a quantum field theory of a free tachyon in the past 6 [53,54,55,56,57,58]. Nevertheless, there are some issues that seem to be always present in such theories [59].…”

Section: Generation Of the Primordial Curvature Perturbationmentioning

confidence: 99%

Puzzling initial conditions in the $$R_\mathrm{h}=ct$$ R h = c t model

Bengochea

León

2016

Eur. Phys. J. C

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In recent years, some studies have drawn attention to the lack of large-angle correlations in the observed cosmic microwave background (CMB) temperature anisotropies with respect to that predicted within the standard CDM model. Lately, it has been argued that such a lack of correlations could be explained in the framework of the so-called R h = ct model without inflation. The aim of this work is to study whether there is a mechanism to generate, through a quantum field theory, the primordial power spectrum presented by these authors. Specifically, we consider two different scenarios: first, we assume a scalar field dominating the early Universe in the R h = ct cosmological model, and second, we deal with the possibility of adding an early inflationary phase to the mentioned model. During the analysis of the consistency between the predicted and observed amplitudes of the CMB temperature anisotropies in both scenarios, we run into deep issues which indicate that it is not clear how to characterize the primordial quantum perturbations within the R h = ct model.

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“…[8]). Despite the difficulties, work on tachyonic theories has continued up to this day, for both classical theories as well as spin-zero and spin-1/2 quantum theories [9][10][11][12]. A very interesting hypothesis was brought forward by Chodos, Hauser and Kostelecky [13], who developed a tachyonic neutrino model based on the so-called tachyonic Dirac equation.…”

Section: Introductionmentioning

confidence: 99%

Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos

Nándori

2017

Advances in High Energy Physics

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The emission of a charged light lepton pair by a superluminal neutrino has been identified as a major factor in the energy loss of highly energetic neutrinos. The observation of PeV neutrinos by IceCube implies their stability against lepton pair Cerenkov radiation. Under the assumption of a Lorentz-violating dispersion relation for highly energetic superluminal neutrinos, one may thus constrain the Lorentz-violating parameters. A kinematically different situation arises when one assumes a Lorentz-covariant, space-like dispersion relation for hypothetical tachyonic neutrinos, as an alternative to Lorentz-violating theories. We here discuss a hitherto neglected decay process, where a highly energetic tachyonic neutrino may emit other (space-like, tachyonic) neutrino pairs. We find that the space-like dispersion relation implies the absence of a 2 threshold for the production of a tachyonic neutrinoantineutrino pair, thus leading to the dominant additional energy loss mechanism for an oncoming tachyonic neutrino in the medium-energy domain. Surprisingly, the small absolute values of the decay rate and energy loss rate in the tachyonic model imply that these models, in contrast to the Lorentz-violating theories, are not pressured by the cosmic PeV neutrinos registered by the IceCube collaboration.

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Aspects of Tachyon theory

Cited by 16 publications

References 24 publications

Neutrino helicity reversal and fundamental symmetries

Neutrino helicity reversal and fundamental symmetries

Puzzling initial conditions in the $$R_\mathrm{h}=ct$$ R h = c t model

Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos

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