Dimensional reduction and the phase diagram of 5d Yang-Mills theory

Details Dimensional reduction and the phase diagram of 5d Yang-Mills theory Dimensional reduction and the phase diagram of 5d Yang-Mills theory

2009-11-18

arxiv.org/abs/0911.3609v1

PoS LAT2009:050,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages. Presented at the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking University, Beijing,

Scientific paper

We present a non-perturbative study of the phase diagram of 5d SU(2) Yang-Mills theory with one compact extra dimension on the lattice. Assuming at least a modest scale separation between the cutoff and the compactification scales leads to an exponential separation between the compactification scale and the four-dimensional correlation length. While we demonstrate that it is not possible to take a full five-dimensional continuum limit, this dynamical generation of scale hierarchy opens up the possibility for us to make limited, but non-perturbative, predictions about continuum theories whose low-energy sector is described by an effective 5d Yang-Mills theory.

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