Microcausality and the Representations of Self-Conjugate Bosons

Peter A. Ring, Y. K. Gambhir, S. Iwasaki +1 more

Armando de la C. Rangel-Pantoja, I. Díaz-Saldaña, Carlos A. Vaquera-Araujo

The canonical quantization of a field theory for spin-1/2 massive bosons that satisfy the Klein–Gordon equation is presented. The breakdown of the usual spin–statistics connection is due to the redefinition of the dual field, rendering the theory pseudo-Hermitian. The normal-ordered Hamiltonian is bounded from below with real eigenvalues, and the theory is consistent with microcausality and invariant under parity, charge conjugation and time reversal.

Peter A. Ring, Y. K. Gambhir, S. Iwasaki +1 more

Kyle Wamer, Francisco H. Kim, Miklós Lajkó +2 more

It was recently argued that SU(3) chains in the $p$-box symmetric irreducible representation (irrep) exhibit a ``Haldane gap'' when $p$ is a multiple of 3 and are otherwise gapless [Nucl. Phys. B 924, 508 (2017)]. We extend this argument to the self-conjugate irreps of SU(3) with $p$ columns of length 2 and $p$ columns of length 1 in the Young tableau ($p=1$ corresponding to the adjoint irrep), arguing that they are always gapped but have spontaneously broken parity symmetry for $p$ odd but not even.

M. Alkhateeb, A. Matzkin

We show, in the framework of a space-time resolved relativistic quantum field theory approach to tunneling, that microcausality precludes superluminal tunneling dynamics. More specifically in this work dealing with Dirac and Klein-Gordon fields, we first prove that microcausality holds for such fields in the presence of a background potential. We then use this result to show that an intervention performed on a localized region of an initial wave packet subsequently scattering on a potential barrier does not result in any effect outside the light cone emanating from that region. We illustrate these results with numerical computations for Dirac fermions and Klein-Gordon bosons.

Fabio Bagarello, Margherita Lattuca