We compute the expansion of the 3-d Lattice Yang-Mills free energy to four-loop order by means of Numerical Stochastic Perturbation Theory. The first and second order are already known and are correctly reproduced. The third- and fourth-order coefficients are new results. The known logarithmic divergence in the fourth order is correctly identified. We comment on the relevance of our computation in the context of dimensionally reduced finite temperature QCD.
3-D LATTICE YANG-MILLS FREE ENERGY TO FOUR LOOPS / DI RENZO, Francesco; Mantovi, Andrea; Miccio, Vincenzo; Schroder, Y.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 5(2004):(2004), pp. 006-1-006-8. [10.1088/1126-6708/2004/05/006]
3-D LATTICE YANG-MILLS FREE ENERGY TO FOUR LOOPS
DI RENZO, Francesco;MANTOVI, Andrea;MICCIO, Vincenzo;
2004-01-01
Abstract
We compute the expansion of the 3-d Lattice Yang-Mills free energy to four-loop order by means of Numerical Stochastic Perturbation Theory. The first and second order are already known and are correctly reproduced. The third- and fourth-order coefficients are new results. The known logarithmic divergence in the fourth order is correctly identified. We comment on the relevance of our computation in the context of dimensionally reduced finite temperature QCD.| File | Dimensione | Formato | |
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