Electroweak parameters from mixed SU(2) Yang-Mills Thermodynamics
- URL: http://arxiv.org/abs/2401.03243v1
- Date: Sat, 6 Jan 2024 15:51:43 GMT
- Title: Electroweak parameters from mixed SU(2) Yang-Mills Thermodynamics
- Authors: Ralf Hofmann and Janning Meinert
- Abstract summary: Based on the thermal phase structure of pure SU(2) quantum Yang-Mills theory, we describe the electron at rest as an extended particle.
This blob is of vanishing pressure and traps an electric-magnetic dually interpreted BPS monopole.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: 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 so-called blob of
radius $r_0$ which is comparable to the Bohr radius $a_0$. This blob is of
vanishing pressure and traps an electric-magnetic dually interpreted BPS
monopole within its bulk at a temperature of $T_0=7.95$ keV. Utilizing a
spherical mirror-charge construction, we approximate the blob's charge at a
value of the electromagnetic fine-structure constant $\alpha$ of
$\alpha^{-1}\sim 134$ for soft external probes. It is shown that the blob does
not exhibit an electric dipole or quadrupole moment. We also calculate the
mixing angle $\theta_{\rm W}\sim 30^{\circ}$ belonging to the deconfining
phases of two SU(2) gauge theories of very distinct Yang-Mills scales
($\Lambda_{\rm e}=3.6 $ keV and $\Lambda_{\rm CMB}\sim 10^{-4} $eV) which
establish the blob's stable bulk thermodynamics. The core radius of the
monopole is about 1 % of $r_0$.
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