Soft thermal contributions to 3-loop gauge coupling

被引：10

作者：

Laine, M. ^{[1
]}

Schicho, P. ^{[1
]}

Schroder, Y. ^{[2
]}

机构：

[1] Univ Bern, Inst Theoret Phys, AEC, Sidlerstr 5, CH-3012 Bern, Switzerland

[2] Univ Bio Bio, Grp Cosmol & Particulas Elementales, Casilla 447, Chillan, Chile

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 05期

基金：

瑞士国家科学基金会;

关键词：

Thermal Field Theory; Quark-Gluon Plasma; Resummation; DIMENSIONAL REDUCTION; QCD; DIAGRAMS; ENERGY;

D O I：

10.1007/JHEP05(2018)037

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We analyze 3-loop contributions to the gauge coupling felt by ultrasoft ("magnetostatic") modes in hot Yang-Mills theory. So-called soft/hard terms, originating from dimension-six operators within the soft effective theory, are shown to cancel 1097/1098 of the IR divergence found in a recent determination of the hard 3-loop contribution to the soft gauge coupling. The remaining 1/1098 originates from ultrasoft/hard contributions, induced by dimension-six operators in the ultrasoft effective theory. Soft 3-loop contributions are likewise computed, and are found to be IR, divergent, rendering the ultrasoft gauge coupling non-perturbative at relative order O(alpha(3)(/2)(s)). We elaborate on the implications of these findings for effective theory studies of physical observables in thermal QCD.

引用

页数：30

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