Phase Space Formulation of S-matrix
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917208986222592 |
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| author | Kim, Joon-Hwi |
| author_facet | Kim, Joon-Hwi |
| contents | We establish an exact relation between the S-symplectomorphism and the S-matrix by means of the phase space formulation of quantum mechanics. The adjoint action of the S-matrix defines a fuzzy diffeomorphism on phase space whose classical limit is the S-symplectomorphism. The relation between classical and quantum eikonals is immediate via $\hbar$-deformation of each Poisson bracket in the Magnus formula. Diagrammatic computation of quantum eikonal is illustrated for quantizations in both symmetric and normal orderings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23100 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase Space Formulation of S-matrix Kim, Joon-Hwi High Energy Physics - Theory Mathematical Physics Combinatorics We establish an exact relation between the S-symplectomorphism and the S-matrix by means of the phase space formulation of quantum mechanics. The adjoint action of the S-matrix defines a fuzzy diffeomorphism on phase space whose classical limit is the S-symplectomorphism. The relation between classical and quantum eikonals is immediate via $\hbar$-deformation of each Poisson bracket in the Magnus formula. Diagrammatic computation of quantum eikonal is illustrated for quantizations in both symmetric and normal orderings. |
| title | Phase Space Formulation of S-matrix |
| topic | High Energy Physics - Theory Mathematical Physics Combinatorics |
| url | https://arxiv.org/abs/2512.23100 |