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Consistent interactions for high-spin fermion fields

Tom Vrancx (UGent) , Lesley De Cruz (UGent) , Jan Ryckebusch (UGent) and Pieter Vancraeyveld (UGent)
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Abstract
We address the issue of consistent interactions for off-shell fermion fields of arbitrary spin. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. The Rarita-Schwinger (R-S) description of high-spin fermion fields involves unphysical degrees of freedom associated with their lower-spin content. These enter the interaction if not eliminated outright. The invariance condition of the interaction under the unconstrained R-S gauge removes the lower-spin content of the fermion propagator and leads to a consistent description of the interaction. We develop the most general consistent interaction structure for high-spin fermions. We find that the power of the momentum dependence of a consistent interaction rises with the spin of the fermion field. This leads to unphysical structures in the energy dependence of the computed tree-level cross sections when the short-distance physics is cut off with standard hadronic form factors. A spin-dependent hadronic form factor is proposed that suppresses the unphysical artifacts.
Keywords
hadron physics, Rarita-Schwinger fields, consistent interactions, hadron form factors

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Please use this url to cite or link to this publication:

MLA
Vrancx, Tom, et al. “Consistent Interactions for High-Spin Fermion Fields.” PHYSICAL REVIEW C, vol. 84, no. 4, 2011, doi:10.1103/PhysRevC.84.045201.
APA
Vrancx, T., De Cruz, L., Ryckebusch, J., & Vancraeyveld, P. (2011). Consistent interactions for high-spin fermion fields. PHYSICAL REVIEW C, 84(4). https://doi.org/10.1103/PhysRevC.84.045201
Chicago author-date
Vrancx, Tom, Lesley De Cruz, Jan Ryckebusch, and Pieter Vancraeyveld. 2011. “Consistent Interactions for High-Spin Fermion Fields.” PHYSICAL REVIEW C 84 (4). https://doi.org/10.1103/PhysRevC.84.045201.
Chicago author-date (all authors)
Vrancx, Tom, Lesley De Cruz, Jan Ryckebusch, and Pieter Vancraeyveld. 2011. “Consistent Interactions for High-Spin Fermion Fields.” PHYSICAL REVIEW C 84 (4). doi:10.1103/PhysRevC.84.045201.
Vancouver
1.
Vrancx T, De Cruz L, Ryckebusch J, Vancraeyveld P. Consistent interactions for high-spin fermion fields. PHYSICAL REVIEW C. 2011;84(4).
IEEE
[1]
T. Vrancx, L. De Cruz, J. Ryckebusch, and P. Vancraeyveld, “Consistent interactions for high-spin fermion fields,” PHYSICAL REVIEW C, vol. 84, no. 4, 2011.
@article{1942830,
  abstract     = {{We address the issue of consistent interactions for off-shell fermion fields of arbitrary spin. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. The Rarita-Schwinger (R-S) description of high-spin fermion fields involves unphysical degrees of freedom associated with their lower-spin content. These enter the interaction if not eliminated outright. The invariance condition of the interaction under the unconstrained R-S gauge removes the lower-spin content of the fermion propagator and leads to a consistent description of the interaction. We develop the most general consistent interaction structure for high-spin fermions. We find that the power of the momentum dependence of a consistent interaction rises with the spin of the fermion field. This leads to unphysical structures in the energy dependence of the computed tree-level cross sections when the short-distance physics is cut off with standard hadronic form factors. A spin-dependent hadronic form factor is proposed that suppresses the unphysical artifacts.}},
  articleno    = {{045201}},
  author       = {{Vrancx, Tom and De Cruz, Lesley and Ryckebusch, Jan and Vancraeyveld, Pieter}},
  issn         = {{0556-2813}},
  journal      = {{PHYSICAL REVIEW C}},
  keywords     = {{hadron physics,Rarita-Schwinger fields,consistent interactions,hadron form factors}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{16}},
  title        = {{Consistent interactions for high-spin fermion fields}},
  url          = {{http://doi.org/10.1103/PhysRevC.84.045201}},
  volume       = {{84}},
  year         = {{2011}},
}

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