One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory
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One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory. / Fokken, Jan; Wilhelm, Matthias.
In: Journal of High Energy Physics (Online), Vol. 2015, No. 03, 018, 2015.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory
AU - Fokken, Jan
AU - Wilhelm, Matthias
PY - 2015
Y1 - 2015
N2 - We study the thermodynamic behaviour of the real $\beta$- and $\gamma_i$-deformation of $\mathcal{N}=4$ Super Yang-Mills theory on $\mathbb{R}\times S^3$ in the planar limit. These theories were shown to be the most general asymptotically integrable supersymmetric and non-supersymmetric field-theory deformations of $\mathcal{N}=4$ Super Yang-Mills theory, respectively. We calculate the first loop correction to their partition functions using an extension of the dilatation-operator and P\'{o}lya-counting approach. In particular, we account for the one-loop finite-size effects which occur for operators of length one and two. Remarkably, we find that the $\mathcal{O}(\lambda)$ correction to the Hagedorn temperature is independent of the deformation parameters, although the partition function depends on them in a non-trivial way.
AB - We study the thermodynamic behaviour of the real $\beta$- and $\gamma_i$-deformation of $\mathcal{N}=4$ Super Yang-Mills theory on $\mathbb{R}\times S^3$ in the planar limit. These theories were shown to be the most general asymptotically integrable supersymmetric and non-supersymmetric field-theory deformations of $\mathcal{N}=4$ Super Yang-Mills theory, respectively. We calculate the first loop correction to their partition functions using an extension of the dilatation-operator and P\'{o}lya-counting approach. In particular, we account for the one-loop finite-size effects which occur for operators of length one and two. Remarkably, we find that the $\mathcal{O}(\lambda)$ correction to the Hagedorn temperature is independent of the deformation parameters, although the partition function depends on them in a non-trivial way.
KW - hep-th
KW - hep-lat
KW - hep-ph
U2 - 10.1007/JHEP03(2015)018
DO - 10.1007/JHEP03(2015)018
M3 - Journal article
VL - 2015
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 03
M1 - 018
ER -
ID: 227489112