Evanescent particles
Por:
Colosi, Daniele, Oeckl, Robert
Publicada:
30 sep 2021
Resumen:
Massive Klein-Gordon theory is quantized on a timelike hyperplane in
Minkowski space using the framework of general boundary quantum field
theory. In contrast to previous work, not only the propagating sector of
the phase space is quantized, but also the evanescent sector, with the
correct physical vacuum. This yields for the first time a description of
the quanta of the evanescent field alone. The key tool is the novel
alpha-Kahler quantization prescription based on a *-twisted observable
algebra. The spatial evolution of states between timelike hyperplanes is
established and turns out to be non-unitary if different choices are
made for the quantization ambiguity for initial and final hyperplane.
Nevertheless, a consistent notion of transition probability is
established also in the non-unitary case, thanks to the use of the
positive formalism. Finally, it is shown how a conducting boundary
condition on the timelike hyperplane gives rise to what we call the
Casimir state. This is a pseudo-state which can be interpreted as an
alternative vacuum and which gives rise to a sea of particle pairs even
in this static case.
Filiaciones:
Colosi, Daniele:
Univ Nacl Autonoma Mexico, Unidad Morelia, Escuela Nacl Estudios Super, Morelia 58190, Michoacan, Mexico
Oeckl, Robert:
Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Morelia 58190, Michoacan, Mexico
Green Submitted, All Open Access; Green
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