Localizability of tachyonic particles and neutrinoless double beta decay

U. Jentschura, B. J. Wundt

Research output: Contribution to journalArticle

16 Citations (Scopus)

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 languageEnglish
Pages (from-to)1-13
Number of pages13
JournalEuropean Physical Journal C
Volume72
Issue number2
DOIs
Publication statusPublished - Feb 2012

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Wave packets
Momentum
neutrinos
Vacuum
operators
propagation
decay
handedness
Lorentz transformations
antineutrinos
wave packets
formalism
momentum
vacuum
matrices

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Engineering (miscellaneous)

Cite this

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

In: European Physical Journal C, Vol. 72, No. 2, 02.2012, p. 1-13.

Research output: Contribution to journalArticle

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