Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-03-24
Physics
High Energy Physics
High Energy Physics - Theory
6 pages. Contribution to the proceedings of the 16th European Workshop on String Theory 2010, Real Jardin Botanico, Madrid, 14
Scientific paper
10.1002/prop.201100032
The free energy of ABJM theory has previously been computed in the strong and weak coupling limits. In this note, we report on results for the computation of the first non-vanishing quantum correction to the free energy, from the field theory side. The correction can be expressed in terms of a thermal mass for the scalar fields. This mass vanishes to 1-loop order, but there is a non-vanishing result to 2-loop order. Hence, the leading correction to the free energy is non-analytic in the 't Hooft coupling constant lambda. The reason is that the infrared divergences necessitate a resummation of ring diagrams and a related reorganization of perturbation theory, in which already the leading correction receives contributions from all orders in lambda. These results suggest that the free energy interpolates smoothly between weak and strong coupling.
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