Chern-Simons states of photons and gravitons
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908300843417600 |
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| author | Haba, Z. |
| author_facet | Haba, Z. |
| contents | We consider an alternative quantization of the electromagnetic field around the Chern-Simons state $ψ_{CS}$ which is a zero energy solution of quantum electrodynamics. The solution determines a stochastic process which is a random perturbation of the self-duality equation for the electromagnetic potential ${\bf A}$. The stochastic process defines a solution of the Schrödinger equation with the initial condition $ψ_{CS}χ$ where $χ({\bf A})$ is an analytic function of ${\bf A}$ decaying fast at large ${\bf A}$. The method can be applied to a quantization of non-Abelian gauge theories by means of a stochastic self-duality equation. A quantization of massless spin 2 tensor fields (based on self-duality) and its extension to a quantization of gravity are also discussed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_04220 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chern-Simons states of photons and gravitons Haba, Z. High Energy Physics - Theory General Relativity and Quantum Cosmology We consider an alternative quantization of the electromagnetic field around the Chern-Simons state $ψ_{CS}$ which is a zero energy solution of quantum electrodynamics. The solution determines a stochastic process which is a random perturbation of the self-duality equation for the electromagnetic potential ${\bf A}$. The stochastic process defines a solution of the Schrödinger equation with the initial condition $ψ_{CS}χ$ where $χ({\bf A})$ is an analytic function of ${\bf A}$ decaying fast at large ${\bf A}$. The method can be applied to a quantization of non-Abelian gauge theories by means of a stochastic self-duality equation. A quantization of massless spin 2 tensor fields (based on self-duality) and its extension to a quantization of gravity are also discussed. |
| title | Chern-Simons states of photons and gravitons |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2503.04220 |