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Thermal effective potential for the Polyakov loop to higher loop order · Around

2018

Thermal effective potential for the Polyakov loop to higher loop order

Nishimura, Hiromichi, Korthals-Altes, Chris, Pisarski, Robert D. et al.

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This is a progress report on the calculation of the effective potential for the Polyakov loop in $SU(N)$ pure gauge theory beyond two-loop order.

We introduce a new approach using the Poisson resummation formula to compute sum-integrals with the holonomy.
We show partial results for the free energy at order $g^3$ and $g^4$.

Built on

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Then

E. Poppitz and M. Unsal, JHEP 1107
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2011
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H. Nishimura and M. C. Ogilvie, Phys. Rev. D 85
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2012
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A. Dumitru, Y. Guo and C. P. Korthals Altes, Phys. Rev. D 89
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2014
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K. Fukushima and V. Skokov, Prog. Part. Nucl. Phys. 96
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2017
Later among the works it cites.
H. Nishimura, R. D. Pisarski and V. V. Skokov, Phys. Rev. D 97
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2018
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