The 2-loop partition function of large N gauge theories with adjoint matter on S**3 - INSPIRE

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The 2-loop partition function of large N gauge theories with adjoint matter on S**3

Matan Mussel
(
- Weizmann Inst.
)
,
Ran Yacoby
(
- Weizmann Inst.
)

Sep, 2009

54 pages

Published in:

JHEP 12 (2009) 005

e-Print:

0909.0407 [hep-th]

DOI:

10.1088/1126-6708/2009/12/005

Report number:

WIS-11-09-AUG-DPP

View in:

reference search13 citations

Citations per year

Abstract: (arXiv)

We compute the 2-loop thermal partition function of Yang-Mills theory on a small 3-sphere, in the large N limit with weak 't Hooft coupling. We include N_s scalars and N_f chiral fermions in the adjoint representation of the gauge group (S)U(N), with arbitrary Yukawa and quartic scalar couplings, assuming only commutator interactions. From this computation one can extract information on the perturbative corrections to the spectrum of the theory, and the correction to its Hagedorn temperature. Furthermore, the computation of the 2-loop partition function is a necessary step towards determining the order of the deconfinement phase transition at weak coupling, for which a 3-loop computation is needed.

gauge field theory: SU(N)
expansion 1/N
temperature: Hagedorn
partition function
fermion: chiral
perturbation theory: higher-order
higher-order: 2
S(3)
regularization: dimensional
effective action

References(37)

Figures(7)

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