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Constraints for Physical Gauge Groups Coming from the Causal Action Principle

  • Felix Finster
  • Niels Gresnigt
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Abstract

The constraints for the effective local gauge groups stemming from the causal action principle for causal fermion systems are reviewed. The constraint which are quadratic in the gauge potentials (coming from the so-called bilinear logarithmic terms) are shown to make a connection between the structures of Lie algebras and Clifford algebras. This connection is worked out systematically starting from general chiral potentials corresponding to the gauge group U(N) × U(N). The general results are illustrated in various examples.

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Cite

BibTeXRIS
BibTeX
@misc{finster2026constraints,
  title = {{Constraints for Physical Gauge Groups Coming from the Causal Action Principle}},
  author = {Felix Finster and Niels Gresnigt},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24888},
  eprint = {2609.24888},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24888},
}
RIS
TY  - UNPB
TI  - Constraints for Physical Gauge Groups Coming from the Causal Action Principle
AU  - Felix Finster
AU  - Niels Gresnigt
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24888
UR  - https://arxiv.org/abs/2609.24888
AB  - The constraints for the effective local gauge groups stemming from the causal action principle for causal fermion systems are reviewed. The constraint which are quadratic in the gauge potentials (coming from the so-called bilinear logarithmic terms) are shown to make a connection between the structures of Lie algebras and Clifford algebras. This connection is worked out systematically starting from general chiral potentials corresponding to the gauge group U(N) × U(N). The general results are illustrated in various examples.
ER  -