Massive loops in thermal SU(2) Yang-Mills theory: radiative corrections to the pressure beyond two loops
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) bubb...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
12 July 2017
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| In: |
International journal of modern physics. A, Particles and fields, gravitation, cosmology
Year: 2017, Jahrgang: 32, Heft: 19n20 |
| ISSN: | 1793-656X |
| DOI: | 10.1142/S0217751X17501184 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1142/S0217751X17501184 Verlag, Volltext: https://www.worldscientific.com/doi/abs/10.1142/S0217751X17501184 
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| Verfasserangaben: | Ingolf Bischer, Thierry Grandou and Ralf Hofmann |
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| 520 | |a 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. | ||
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