First order deconfinement transition in large N Yang-Mills theory on a small S 3
By O. Aharony, J. Marsano, Shiraz Minwalla, K. Papadodimas, Mark Van Raamsdonk. 2005
181 citations recorded by the source corpus.
We give an analytic demonstration that the $3+1$-dimensional large $N$ $SU(N)$ pure Yang-Mills theory, compactified on a small ${S}^{3}$ so that the coupling constant at the compactification scale is very small, has a first order deconfinement transition as a function of temperature. We do this by explicitly computing the relevant terms in the canonical partition function up to three-loop order; this is necessary because the leading (one-loop) result for the phase transition is precisely on the border line between a first order and a second order transition. Since numerical work strongly suggests that the infinite-volume large $N$ theory also has a first order deconfinement transition, we conjecture that the phase structure is independent of the size of the ${S}^{3}$. To deal with divergences in our calculations, we are led to introduce a novel method of regularization useful for non-Abelian gauge theory on ${S}^{3}$.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/bc68723629b1c5c131ecd7b1da6ef382ba245d41
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In Nuclear and High Energy Physics
Citations in the corpus
- An Index for 4 Dimensional Super Conformal Theories (2005, background): “studies of Yang Mills theory on compact manifolds have studied such phase transitions, and related them to the nucleation of black holes in bulk duals [2,3,26,27,28,29,30,31].”
- The complete superconformal index for N=6 Chern–Simons theory (2009, background): “d= 4 in that a deconfinement phase transition at order 1 temperature like [29, 30, 31 ] is not found.”