Massive fluctuations in deconfining SU(2) Yang-Mills thermodynamics

We review how vertex constraints inherited from the thermal ground state strongly reduce the integration support of loop four-momenta associated with massive quasiparticles in bubble diagrams constituting corrections to the free thermal quasiparticle pressure. In spite of the observed increasingly s...

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Bibliographic Details
Main Author: Bischer, Ingolf (Author)
Format: Article (Journal)
Language:English
Published: 27 September 2017
In: Advances in high energy physics

ISSN:1687-7365
DOI:10.1155/2017/8593678
Online Access:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1155/2017/8593678
Verlag, kostenfrei, Volltext: https://www.hindawi.com/journals/ahep/2017/8593678/
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Author Notes:Ingolf Bischer
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Summary:We review how vertex constraints inherited from the thermal ground state strongly reduce the integration support of loop four-momenta associated with massive quasiparticles in bubble diagrams constituting corrections to the free thermal quasiparticle pressure. In spite of the observed increasingly suppressing effect when increasing 2-particle-irreducible (2PI) loop order, a quantitative analysis enables us to disprove the conjecture voiced in hep-th/0609033 that the loop expansion would terminate at a finite order. This reveals the necessity to investigate exact expressions of (at least some) higher-loop order diagrams. Explicit calculation shows that although the behaviour of the 2PI three-loop contribution at low temperatures displays hierarchical suppression compared to lower loop orders, its high-temperature expression instead dominates all lower orders. However, an all-loop-order resummation of a class of 2PI bubble diagrams is shown to yield an analytic continuation of the low-temperature hierarchy to all temperatures in the deconfining phase.
Item Description:Gesehen am 15.08.2018
Physical Description:Online Resource
ISSN:1687-7365
DOI:10.1155/2017/8593678