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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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/8593678 |
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| author | Ingolf Bischer |
| author_facet | Ingolf Bischer |
| author_sort | Ingolf Bischer |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6b41471b50ba4ebd8654aea63823dc88 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-6b41471b50ba4ebd8654aea63823dc882025-02-03T06:13:47ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/85936788593678Massive Fluctuations in Deconfining SU(2) Yang-Mills ThermodynamicsIngolf Bischer0Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, GermanyWe 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.http://dx.doi.org/10.1155/2017/8593678 |
| spellingShingle | Ingolf Bischer Massive Fluctuations in Deconfining SU(2) Yang-Mills Thermodynamics Advances in High Energy Physics |
| title | Massive Fluctuations in Deconfining SU(2) Yang-Mills Thermodynamics |
| title_full | Massive Fluctuations in Deconfining SU(2) Yang-Mills Thermodynamics |
| title_fullStr | Massive Fluctuations in Deconfining SU(2) Yang-Mills Thermodynamics |
| title_full_unstemmed | Massive Fluctuations in Deconfining SU(2) Yang-Mills Thermodynamics |
| title_short | Massive Fluctuations in Deconfining SU(2) Yang-Mills Thermodynamics |
| title_sort | massive fluctuations in deconfining su 2 yang mills thermodynamics |
| url | http://dx.doi.org/10.1155/2017/8593678 |
| work_keys_str_mv | AT ingolfbischer massivefluctuationsindeconfiningsu2yangmillsthermodynamics |