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Free energy of ABJM theory
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2011 (English)In: Fortschritte der Physik, ISSN 0015-8208, E-ISSN 1521-3978, Vol. 59, no 7-8, 769-774 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2011. Vol. 59, no 7-8, 769-774 p.
Keyword [en]
AdS/CFT, ABJM, free energy, thermal mass
National Category
Natural Sciences
URN: urn:nbn:se:uu:diva-156479DOI: 10.1002/prop.201100032ISI: 000292548200029OAI: oai:DiVA.org:uu-156479DiVA: diva2:431950
Conference: 16th European Workshop on String Theory, Madrid, SPAIN, JUN 14-18, 2010 Available from: 2011-07-27 Created: 2011-07-25 Last updated: 2011-07-28Bibliographically approved

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