One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory

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Standard

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

Harvard

Fokken, J & Wilhelm, M 2015, 'One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory', Journal of High Energy Physics (Online), vol. 2015, no. 03, 018. https://doi.org/10.1007/JHEP03(2015)018

APA

Fokken, J., & Wilhelm, M. (2015). One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory. Journal of High Energy Physics (Online), 2015(03), [018]. https://doi.org/10.1007/JHEP03(2015)018

Vancouver

Fokken J, Wilhelm M. One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory. Journal of High Energy Physics (Online). 2015;2015(03). 018. https://doi.org/10.1007/JHEP03(2015)018

Author

Fokken, Jan ; Wilhelm, Matthias. / One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory. In: Journal of High Energy Physics (Online). 2015 ; Vol. 2015, No. 03.

Bibtex

@article{09be457df8ba4f94a0415e93901128a0,
title = "One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory",
abstract = " 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. ",
keywords = "hep-th, hep-lat, hep-ph",
author = "Jan Fokken and Matthias Wilhelm",
year = "2015",
doi = "10.1007/JHEP03(2015)018",
language = "English",
volume = "2015",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "03",

}

RIS

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