2013
DOI: 10.1016/j.physrep.2013.01.001
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gauge theories at large

Abstract: We review the theoretical developments and conceptual advances that stemmed from the generalization of QCD to the limit of a large number of color charges, originally proposed by 't Hooft. Then, after introducing the gauge-invariant non-perturbative formulation of non-Abelian gauge theories on a spacetime lattice, we present a selection of results from recent lattice studies of theories with a different number of colors, and the findings obtained from their extrapolation to the 't Hooft limit. We conclude with… Show more

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Cited by 285 publications
(290 citation statements)
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References 917 publications
(1,126 reference statements)
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“…For a more extended and more detailed discussion, we recommend the readers to refer to ref. [3] and to the works mentioned therein.…”
Section: Discussionmentioning
confidence: 93%
See 1 more Smart Citation
“…For a more extended and more detailed discussion, we recommend the readers to refer to ref. [3] and to the works mentioned therein.…”
Section: Discussionmentioning
confidence: 93%
“…On the contrary, we try to highlight those that, in our view, are the main aspects of the topic, presenting them in a way which should be easily accessible not only for researchers, but also for graduate and undergraduate students. For a more rigorous discussion and a more complete list of references, we recommend the interested readers to refer to our general review on this topic [3] and to an overview of recent lattice results in this field in ref. [4].…”
Section: Introductionmentioning
confidence: 99%
“…This has also motivated an intensive lattice Monte Carlo work during recent years [10][11][12][13][14]. The bulk of this work has been done at zero temperature; recently there appeared the first attempts to go to finite T for QCD with N c = 3, N f up to 8 [14][15][16] and for non-QCD-like theories [17].…”
Section: Jhep01(2013)093mentioning
confidence: 99%
“…• For potentials II the dependence on W 0 is milder (see figures [13][14][15][16]. At high W 0 , for low x f up to some value x χ , there is only the 1st order transition at 10 T = T d .…”
Section: The Phase Structure Of Different V-qcd Modelsmentioning
confidence: 99%
“…Numerical simulations on the lattice provide detailed results for the pressure and other quantities in equilibrium. This includes results in the pure gauge theory (without dynamical quarks) for three colors [1]; for the pure SU (N ) theory when N > 3 [2], and with dynamical quarks, Refs. [3].…”
Section: Introductionmentioning
confidence: 99%