Massive loops in thermal SU(2) Yang-Mills theory: Radiative corrections to the pressure beyond two loops
| Autor: | Ralf Hofmann, Ingolf Bischer, Thierry Grandou |
|---|---|
| Přispěvatelé: | Institut de Physique de Nice (INPHYNI), Université Nice Sophia Antipolis (... - 2019) (UNS), Université Côte d'Azur (UCA)-Université Côte d'Azur (UCA)-Centre National de la Recherche Scientifique (CNRS), Institut de Physique de Nice ( INPHYNI ), Université Nice Sophia Antipolis ( UNS ), Université Côte d'Azur ( UCA ) -Université Côte d'Azur ( UCA ) -Centre National de la Recherche Scientifique ( CNRS ), Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA) |
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics 81T13 81T28 Bubble FOS: Physical sciences Yang–Mills theory Yang-Mills: SU(2) adjoint Higgs mechanism 01 natural sciences [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] thermal Theoretical physics pressure 0103 physical sciences Thermal Radiative transfer radiative correction ground state Resummation 010306 general physics Special unitary group Physics 010308 nuclear & particles physics [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] bubble temperature: high quasiparticle: massive Astronomy and Astrophysics suppression two-particle Atomic and Molecular Physics and Optics massive loops Vertex (geometry) High Energy Physics - Theory (hep-th) resummation Calorons thermal ground state 11.15.Tk Ground state 11.15.Ex |
| Zdroj: | Int.J.Mod.Phys.A Int.J.Mod.Phys.A, 2017, 32 (19n20), pp.1750118. ⟨10.1142/S0217751X17501184⟩ Int.J.Mod.Phys.A, 2017, 32 (19n20), pp.1750118. 〈10.1142/S0217751X17501184〉 |
| DOI: | 10.48550/arxiv.1703.07398 |
| Popis: | We device an efficient book-keeping of excluded energy-sign and scattering-channel combinations for the loop four-momenta associated with massive quasi-particles, circulating in (connected) bubble diagrams subject to vertex constraints inherited from the thermal ground state. The according radiative corrections modify the free thermal-quasiparticle pressure at one loop. 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 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 behaviour, 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-temperatures result. Comment: 39 pages, 22 figures, 8 tables |
| Databáze: | OpenAIRE |
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