| Issue |
EPL
Volume 147, Number 1, July 2024
|
|
|---|---|---|
| Article Number | 14001 | |
| Number of page(s) | 6 | |
| Section | Nuclear and plasma physics, particles and fields | |
| DOI | https://doi.org/10.1209/0295-5075/ad59be | |
| Published online | 18 July 2024 | |
The spectrum consistency of fractional quantum Hall effect model
Universidade Federal de Viçosa (UFV), Departamento de Física - Campus Universitário, Avenida Peter Henry Rolfs s/n, 36570-900, Viçosa, MG, Brazil and Ibitipoca Institute of Physics (IbitiPhys) - 36140-000, Conceição do Ibitipoca, MG, Brazil
Received: 16 May 2024
Accepted: 19 June 2024
The spectrum consistency of the three-fermion family 
quantum electrodynamics in three space-time dimensions is analyzed. It has been verified that the originally proposed action violates the unitarity consistency condition in the gauge field sector by exhibiting negative norm states in the spectrum. However, the cure came through the fundamental gauge fields properly settled, consequently, the action rewritten in terms of those fundamental fields shows to be free from any spurious degrees of freedom, and the model now becomes safe for further quantization.
© 2024 EPLA
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