SU(2) Yang-Mills Theory: Waves, Particles, and Quantum Thermodynamics

Abstract

We elucidate how Quantum Thermodynamics at temperature $T$ emerges from pure and classical SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime slice $S_1\times {\mathbf{R}}^3$. The concept of a (deconfining) thermal ground state, composed of certain solutions to the fundamental, classical Yang-Mills equation, allows for a unified addressation of both (classical) wave- and (quantum) particle-like excitations thereof.

16 pages, no figs

References in corpus (8)

• The hbar Expansion in Quantum Field Theory
• Radiative corrections to the pressure and the one-loop polarization tensor of massless modes in SU(2) Yang-Mills thermodynamics
• Thermal photon dispersion law and modified black-body spectra
• Linear growth of the trace anomaly in Yang-Mills thermodynamics
• Irreducible three-loop contributions to the pressure in Yang-Mills thermodynamics
• Relic photon temperature versus redshift and the cosmic neutrino background
• The quantum of action and finiteness of radiative corrections: Deconfining SU(2) Yang-Mills thermodynamics
• Modification of black-body radiance at low temperatures and frequencies

Cited by in corpus (9)

• SU(2)${}_{\mathrm{CMB}}$ and the cosmological model: angular power spectra
• SU(2)$_{\tiny\mbox{CMB}}$ at high redshifts and the value of $H_0$
• Frequency-redshift relation of the Cosmic Microwave Background
• Cosmological parameters from Planck data in SU(2)${}_{\mathrm{CMB}}$, their local $\Lambda$CDM values, and the modified photon Boltzmann equation
• The isolated electron: De Broglie's "hidden" thermodynamics, SU(2) Quantum Yang-Mills theory, and a strongly perturbed BPS monopole
• Thermodynamics of a phase-driven proximity Josephson junction
• Massive loops in thermal SU(2) Yang-Mills theory: Radiative corrections to the pressure beyond two loops
• The isolated, uniformly moving electron: Selfintersecting SU(2) Yang-Mills center vortex loop and Louis de Broglie's hidden thermodynamics
• SU(2) Quantum Yang-Mills Thermodynamics: Some Theory and Some Applications