On thermodynamics of 𝒩 = 6 superconformal Chern-Simons theories at strong coupling

Ghodsi, Ahmad; Garousi, Mohammad R.; Khosravi, Mehran

doi:10.1088/1126-6708/2008/08/067

Cited by 8 publications

(2 citation statements)

References 56 publications

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“…In the ABJM case, the strong coupling answer was calculated by Klebanov and Tseytlin [25], and a discussion of corrections can be found in [28]. On the gauge side, the free field theory result was obtained in [8].…”

Section: Introductionmentioning

confidence: 98%

On thermodynamics of $ \mathcal{N} = 6 $ superconformal Chern-Simons theory

Smedbäck¹

2010

J. High Energ. Phys.

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We study thermodynamics of N = 6 superconformal Chern-Simons theory by computing quantum corrections to the free energy. We find that in weakly coupled ABJM theory on R 2 × S 1 , the leading correction is non-analytic in the 't Hooft coupling λ, and is approximately of order λ 2 log(λ) 3 . The free energy is expressed in terms of the scalar thermal mass m, which is generated by screening effects. We show that this mass vanishes to 1-loop order. We then go on to 2-loop order where we find a finite and positive mass squared m 2 . We discuss differences in the calculation between Coulomb and Lorentz gauge. Our results indicate that the free energy is a monotonic function in λ which interpolates smoothly to the N 3/2 behaviour at strong coupling.

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Section: Introductionmentioning

confidence: 98%

On thermodynamics of $ \mathcal{N} = 6 $ superconformal Chern-Simons theory

Smedbäck¹

2010

J. High Energ. Phys.

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“…In [15], we computed the quantum corrections to the free field theory result of ABJM [5], allowing us to see whether similar phenomena as in the SYM case also appear in ABJM. Our primary motivation, though, was to see if we can make progress from the field theory side on understanding the strong suppression of the entropy at strong coupling [7] (corrections were computed in [16]).…”

Section: Introductionmentioning

confidence: 99%

Free energy of ABJM theory

Smedbäck

2011

Fortschritte der Physik

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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 λ. 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 λ. These results suggest that the free energy interpolates smoothly between weak and strong coupling.

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D2 to M2 procedure for D2-brane DBI effective action

Klusoň

2009

Nuclear Physics B

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On thermodynamics of 𝒩 = 6 superconformal Chern-Simons theories at strong coupling

Cited by 8 publications

References 56 publications

On thermodynamics of $ \mathcal{N} = 6 $ superconformal Chern-Simons theory

On thermodynamics of $ \mathcal{N} = 6 $ superconformal Chern-Simons theory

Free energy of ABJM theory

D2 to M2 procedure for D2-brane DBI effective action

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