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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2401.03243 |
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| _version_ | 1866915038021812224 |
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| author | Meinert, Janning Hofmann, Ralf |
| author_facet | Meinert, Janning Hofmann, Ralf |
| contents | Based on the thermal phase structure of pure SU(2) quantum Yang-Mills theory, we describe the electron at rest as an extended particle, a droplet of radius $r_0\sim a_0$, where $a_0$ is the Bohr radius. This droplet is of vanishing pressure and traps a monopole within its bulk at a temperature of $T_c=7.95$ keV. The monopole is the Bogomolny-Prasad-Sommerfield (BPS) limit. It is interpreted in an electric-magnetically dual way. Utilizing a spherical mirror-charge construction, we approximate the droplet's charge at a value of the electromagnetic fine-structure constant $α$ of $α^{-1}\sim 134$ for soft external probes. It is shown that the droplet does not exhibit an electric dipole or quadrupole moment due to averages of its far-field electric potential over monopole positions. We also calculate the mixing angle $θ_{\rm W}\sim 30^{\circ}$ which belongs to deconfining phases of two SU(2) gauge theories of very distinct Yang-Mills scales ($Λ_{\rm e}=3.6\,$keV and $Λ_{\rm CMB}\sim 10^{-4}\,$eV). Here, the condition that the droplet's bulk thermodynamics is stable determines the value of $θ_W$. The core radius of the monopole, whose inverse equals the droplet's mass in natural units, is about 1% of $r_0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03243 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electroweak parameters from mixed SU(2) Yang-Mills Thermodynamics Meinert, Janning Hofmann, Ralf High Energy Physics - Theory Mathematical Physics Quantum Physics Based on the thermal phase structure of pure SU(2) quantum Yang-Mills theory, we describe the electron at rest as an extended particle, a droplet of radius $r_0\sim a_0$, where $a_0$ is the Bohr radius. This droplet is of vanishing pressure and traps a monopole within its bulk at a temperature of $T_c=7.95$ keV. The monopole is the Bogomolny-Prasad-Sommerfield (BPS) limit. It is interpreted in an electric-magnetically dual way. Utilizing a spherical mirror-charge construction, we approximate the droplet's charge at a value of the electromagnetic fine-structure constant $α$ of $α^{-1}\sim 134$ for soft external probes. It is shown that the droplet does not exhibit an electric dipole or quadrupole moment due to averages of its far-field electric potential over monopole positions. We also calculate the mixing angle $θ_{\rm W}\sim 30^{\circ}$ which belongs to deconfining phases of two SU(2) gauge theories of very distinct Yang-Mills scales ($Λ_{\rm e}=3.6\,$keV and $Λ_{\rm CMB}\sim 10^{-4}\,$eV). Here, the condition that the droplet's bulk thermodynamics is stable determines the value of $θ_W$. The core radius of the monopole, whose inverse equals the droplet's mass in natural units, is about 1% of $r_0$. |
| title | Electroweak parameters from mixed SU(2) Yang-Mills Thermodynamics |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2401.03243 |