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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.22103 |
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| _version_ | 1866909711354298368 |
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| author | Fitzpatrick, A. Liam Novikova, Anastasiia Ring, Noah |
| author_facet | Fitzpatrick, A. Liam Novikova, Anastasiia Ring, Noah |
| contents | We consider a general class of large $N$ vector-like theories in $d=2+1$ in a Hamiltonian approach. We show that by using lightcone quantization and the $N\to\infty$ limit, we can diagonalize the Hamiltonian exactly and construct the eigenstates, spectral density, S-matrix, and form factors for the theory. For concreteness, we mainly focus on QED$_3$ at large $N_f$ as an explicit example. We comment on extending the approach to finite $N$ calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22103 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hamiltonian Truncation of Large $N_f$ QED and Large $N$ Vector-like Theories in $d=2+1$ Fitzpatrick, A. Liam Novikova, Anastasiia Ring, Noah High Energy Physics - Theory We consider a general class of large $N$ vector-like theories in $d=2+1$ in a Hamiltonian approach. We show that by using lightcone quantization and the $N\to\infty$ limit, we can diagonalize the Hamiltonian exactly and construct the eigenstates, spectral density, S-matrix, and form factors for the theory. For concreteness, we mainly focus on QED$_3$ at large $N_f$ as an explicit example. We comment on extending the approach to finite $N$ calculations. |
| title | Hamiltonian Truncation of Large $N_f$ QED and Large $N$ Vector-like Theories in $d=2+1$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.22103 |