SU(2) and SU(3) Yang-Mills thermodynamics and some implications

We sketch the development of effective theories for SU(2) and SU(3) Yang-Mills thermodynamics. The most important results are quoted and some implications for particle physics and cosmology are discussed.Comment: 18 pages, 5 figures, v3: consequences of a change in the evolution equations for the effective couplings implemented, practically no change in the physics, erratum to appear in the journal-published versio

Fundamental and effective SU(2) Yang-Mills vertices

Calorons and plane waves within and in between them {\sl collectively} give rise to a thermal ground state. The latter provides a homgeneous energy density and a negative pressure, and it induces quasiparticle masses to part of the propagating spectrum of deconfining SU(2) Yang-Mills thermodynamics (dynamical gauge-symmetry breaking). In the present talk we discuss the role of a {\sl single} caloron in inducing effective local vertices, characterized by powers of $\hbar$, mediating the interaction of plane waves which propagate over large distances. The constraints on momentum transfers through effective 4-vertices are revisited.Comment: 4 pages, no figur

SU(2,CMB), the nature of light and acceleratedcosmological expansion

We present quantitative and qualitative arguments in favor of the claim that, within the present cosmological epoch, the U(1)gamma factor in the Standard Model is an effective manifestation of SU(2) pure gauge dynamics of Yang-Mills scale Lambda ~ 10^-4 eV. Results for the pressure and the energy density in the deconfining phase of this theory, obtained in a nonperturbative and analytical way, support this connection in view of large-angle features inherent in the map of the CMB temperature fluctuations and temperature-polarization cross correlations

The isolated electron: De Broglie's "hidden" thermodynamics, SU(2) Quantum Yang-Mills theory, and a strongly perturbed BPS monopole

Based on a recent numerical simulation of the temporal evolution of a spherically perturbed BPS monopole, SU(2) Yang-Mills thermodynamics, Louis de Broglie's deliberations on the disparate Lorentz transformations of the frequency of an internal "clock" on one hand and the associated quantum energy on the other hand, and postulating that the electron is represented by a figure-eight shaped, self-intersecting center vortex loop in SU(2) Quantum Yang-Mills theory we estimate the spatial radius $R_0$ of this self-intersection region in terms of the electron's Compton wave length $\lambda_C$. This region, which is immersed into the confining phase, constitutes a blob of deconfining phase of temperature $T_0$ mildly above the critical temperature $T_c$ carrying a frequently perturbed BPS monopole (with a magnetic-electric dual interpretation of its charge w.r.t. U(1)$\subset$SU(2)). We also establish a quantitative relation between rest mass $m_0$ of the electron and SU(2) Yang-Mills scale $\Lambda$, which in turn is defined via $T_c$. Surprisingly, $R_0$ turns out to be comparable to the Bohr radius while the core size of the monopole matches $\lambda_C$, and the correction to the mass of the electron due to Coulomb energy is about 2\,\%.Comment: 15 pp, 3 figs, v2: mistake in estimating the core-size of monopole rectified and typos eliminate

Deconfining by Winding

A model for the quantum effective description of the vacuum structure of thermalized SU(3) Yang-Mills theory is proposed. The model is based on Abelian projection leading to a Ginzburg-Landau theory for the magnetic sector. The possibility of topologically non-trivial, effective monopole fields in the deconfining phase is explored. These fields are assumed to be Bogomol'nyi-Prasad-Sommerfield saturated solutions along the compact, euclidean time dimension. Accordingly, a gauge invariant interaction for the monopole fields is constructed. Motivated by the corresponding lattice results the vacuum dynamics is assumed to be dominated by the monopole fields. A reasonable value for the critical temperature is obtained, and the partial persistence of non-perturbative features in the deconfining phase of SU(3) Yang-Mills theory, as it is measured on the lattice, follows naturally.Comment: 10 pages, 5 figures, Talk at conference "Lepton Scattering, Hadrons and QCD, 26.3.-5.4 2001, Adelaide, Australi