Massive loops in thermal SU(2) Yang-Mills theory

• Verfasst von: Bischer, Ingolf [VerfasserIn]
• Verfasst von: Grandou, Thierry [VerfasserIn]
• Verfasst von: Hofmann, Ralf [VerfasserIn]
• Titel: Massive loops in thermal SU(2) Yang-Mills theory
• Titelzusatz: radiative corrections to the pressure beyond two loops
• Verf.angabe: Ingolf Bischer, Thierry Grandou and Ralf Hofmann
• E-Jahr: 2017
• Jahr: 12 July 2017
• Umfang: ? S.
• Fussnoten: Gesehen am 19.11.2020
• Titel Quelle: Enthalten in: International journal of modern physics / A
• Ort Quelle: Singapur : World Scientific Publ., 1986
• Jahr Quelle: 2017
• Band/Heft Quelle: 32(2017,19/20) Artikel-Nummer 1750118, ? Seiten
• ISSN Quelle: 1793-656X
• DOI: doi:10.1142/S0217751X17501184
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1580058744

Abstract

We address the loop expansion of the pressure in the deconfining phase of SU(2) Yang-Mills thermodynamics. We devise an efficient book-keeping of excluded energy-sign and scattering-channel combinations for the loop four-momenta associated with massive quasiparticles, circulating in (connected) bubble diagrams subject to vertex constraints inherited from the thermal ground state. These radiative corrections modify the one-loop pressure exerted by free thermal quasiparticles. Increasing the loop order in two-particle irreducible (2PI) bubble diagrams, we exemplarily demonstrate a suppressing effect of the vertex constraints on the number of valid combinations. This increasingly strong suppression gave rise to the conjecture in arXiv:hep-th/0609033 that the loop expansion would terminate at a finite order. Albeit the low-temperature dependence of the 2PI 3-loop diagram complies with this behavior, a thorough analysis of the high-temperature situation reveals that the leading power in temperature is thirteen such that this diagram dominates all lower loop orders for sufficiently high temperatures. An all-loop-order resummation of 2PI diagrams with dihedral symmetry is thus required, defining an extremely well-bounded analytical continuation of the low-temperature result.