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Derivation of color projectors on multi-quark states using the Casimir operator

Abstract

We present an elementary recursive construction of Hermitian projectors on multi-quark SU(N) color states, based on the characterization of these states by their quadratic Casimir, and using the birdtrack pictorial technique.

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BibTeX
@misc{peigne2026derivation,
  title = {{Derivation of color projectors on multi-quark states using the Casimir operator}},
  author = {Stéphane Peigné and Clément Liesse},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02319},
  eprint = {2610.02319},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05782758v1},
}
RIS
TY  - UNPB
TI  - Derivation of color projectors on multi-quark states using the Casimir operator
AU  - Stéphane Peigné
AU  - Clément Liesse
PY  - 2026
DA  - 2026/10/01
PB  - HAL
DO  - 10.48550/arxiv.2610.02319
UR  - https://hal.science/hal-05782758v1
AB  - We present an elementary recursive construction of Hermitian projectors on multi-quark SU(N) color states, based on the characterization of these states by their quadratic Casimir, and using the birdtrack pictorial technique.
ER  -