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...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
27 September 2017
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| In: |
Advances in high energy physics
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| ISSN: | 1687-7365 |
| DOI: | 10.1155/2017/8593678 |
| Online-Zugang: | 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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| Verfasserangaben: | Ingolf Bischer |
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| 520 | |a 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. | ||
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