### Abstract

The quantum field theory of superluminal (tachyonic) particles is plagued by a number of problems, which include the Lorentz non-invariance of the vacuum state, the ambiguous separation of the field operator into creation and annihilation operators under Lorentz transformations, and the necessity of a complex reinterpretation principle for quantum processes. Another unsolved question concerns the treatment of subluminal components of a tachyonic wave packet in the field-theoretical formalism, and the calculation of the time-ordered propagator. After a brief discussion on related problems, we conclude that rather painful choices have to be made in order to incorporate tachyonic spin-12 particles into field theory. We argue that the field theory needs to be formulated such as to allow for localizable tachyonic particles, even if that means that a slight unitarity violation is introduced into the S matrix, and we write down field operators with unrestricted momenta. We find that once these choices have been made, the propagator for the neutrino field can be given in a compact form, and the lefthandedness of the neutrino as well as the right-handedness of the antineutrino follow naturally. Consequences for neutrinoless double beta decay and superluminal propagation of neutrinos are briefly discussed.

Original language | English |
---|---|

Pages (from-to) | 1-13 |

Number of pages | 13 |

Journal | European Physical Journal C |

Volume | 72 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 2012 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)
- Engineering (miscellaneous)

### Cite this

*European Physical Journal C*,

*72*(2), 1-13. https://doi.org/10.1140/epjc/s10052-012-1894-4

**Localizability of tachyonic particles and neutrinoless double beta decay.** / Jentschura, U.; Wundt, B. J.

Research output: Contribution to journal › Article

*European Physical Journal C*, vol. 72, no. 2, pp. 1-13. https://doi.org/10.1140/epjc/s10052-012-1894-4

}

TY - JOUR

T1 - Localizability of tachyonic particles and neutrinoless double beta decay

AU - Jentschura, U.

AU - Wundt, B. J.

PY - 2012/2

Y1 - 2012/2

N2 - The quantum field theory of superluminal (tachyonic) particles is plagued by a number of problems, which include the Lorentz non-invariance of the vacuum state, the ambiguous separation of the field operator into creation and annihilation operators under Lorentz transformations, and the necessity of a complex reinterpretation principle for quantum processes. Another unsolved question concerns the treatment of subluminal components of a tachyonic wave packet in the field-theoretical formalism, and the calculation of the time-ordered propagator. After a brief discussion on related problems, we conclude that rather painful choices have to be made in order to incorporate tachyonic spin-12 particles into field theory. We argue that the field theory needs to be formulated such as to allow for localizable tachyonic particles, even if that means that a slight unitarity violation is introduced into the S matrix, and we write down field operators with unrestricted momenta. We find that once these choices have been made, the propagator for the neutrino field can be given in a compact form, and the lefthandedness of the neutrino as well as the right-handedness of the antineutrino follow naturally. Consequences for neutrinoless double beta decay and superluminal propagation of neutrinos are briefly discussed.

AB - The quantum field theory of superluminal (tachyonic) particles is plagued by a number of problems, which include the Lorentz non-invariance of the vacuum state, the ambiguous separation of the field operator into creation and annihilation operators under Lorentz transformations, and the necessity of a complex reinterpretation principle for quantum processes. Another unsolved question concerns the treatment of subluminal components of a tachyonic wave packet in the field-theoretical formalism, and the calculation of the time-ordered propagator. After a brief discussion on related problems, we conclude that rather painful choices have to be made in order to incorporate tachyonic spin-12 particles into field theory. We argue that the field theory needs to be formulated such as to allow for localizable tachyonic particles, even if that means that a slight unitarity violation is introduced into the S matrix, and we write down field operators with unrestricted momenta. We find that once these choices have been made, the propagator for the neutrino field can be given in a compact form, and the lefthandedness of the neutrino as well as the right-handedness of the antineutrino follow naturally. Consequences for neutrinoless double beta decay and superluminal propagation of neutrinos are briefly discussed.

UR - http://www.scopus.com/inward/record.url?scp=84856794884&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856794884&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-012-1894-4

DO - 10.1140/epjc/s10052-012-1894-4

M3 - Article

AN - SCOPUS:84856794884

VL - 72

SP - 1

EP - 13

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 2

ER -