We elucidate how Quantum Thermodynamics at temperature T emerges from pure and classical SU(2)

SU(2) Yang–Mills theory on a four-dimensional Euclidean spacetime slice S1×R3.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. More definitely, the thermal ground state represents the interplay between nonpropagating, periodic configurations which are electric-magnetically (anti)selfdual in a non-trivial way and possess topological charge modulus unity. Their trivial-holonomy versions—Harrington–Shepard (HS) (anti)calorons—yield an accurate a priori estimate of the thermal ground state in terms of spatially coarse-grained centers, each containing one quantum of action ℏ localized at its inmost spacetime point, which induce an inert adjoint scalar field ϕ ( |ϕ| spatio-temporally constant). The field ϕ , in turn, implies an effective pure-gauge configuration, a gs μ , accurately describing HS (anti)caloron overlap. Spatial homogeneity of the thermal ground-state estimate ϕ,a gs μ demands that (anti)caloron centers are densely packed, thus representing a collective departure from (anti)selfduality. ... mehr

SU(2) Yang–Mills theory on a four-dimensional Euclidean spacetime slice S1×R3.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. More definitely, the thermal ground state represents the interplay between nonpropagating, periodic configurations which are electric-magnetically (anti)selfdual in a non-trivial way and possess topological charge modulus unity. Their trivial-holonomy versions—Harrington–Shepard (HS) (anti)calorons—yield an accurate a priori estimate of the thermal ground state in terms of spatially coarse-grained centers, each containing one quantum of action ℏ localized at its inmost spacetime point, which induce an inert adjoint scalar field ϕ ( |ϕ| spatio-temporally constant). The field ϕ , in turn, implies an effective pure-gauge configuration, a gs μ , accurately describing HS (anti)caloron overlap. Spatial homogeneity of the thermal ground-state estimate ϕ,a gs μ demands that (anti)caloron centers are densely packed, thus representing a collective departure from (anti)selfduality. ... mehr

Zugehörige Institution(en) am KIT |
Institut für Photonenforschung und Synchrotronstrahlung (IPS) |

Publikationstyp |
Zeitschriftenaufsatz |

Publikationsjahr |
2016 |

Sprache |
Englisch |

Identifikator |
ISSN: 1099-4300 urn:nbn:de:swb:90-594290 KITopen-ID: 1000059429 |

Erschienen in |
Entropy |

Band |
18 |

Heft |
9 |

Seiten |
310 |

Bemerkung zur Veröffentlichung |
Gefördert durch den KIT-Publikationsfonds |

Schlagwörter |
Harrington–Shepard caloron; (anti)selfduality; electric and magnetic dipole densities; vacuum permittivity and permeability; Poincaré group; quantum of action; Boltzmann weight; Bose–Einstein distribution function |

Nachgewiesen in |
Web of Science Scopus |

KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft

KITopen Landing Page