Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-27
Phys.Lett.B682:476-483,2010
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 5 figures
Scientific paper
10.1016/j.physletb.2009.11.046
Consistent coupling of effective field theories with a quantum theory of gravity appears to require bounds on the the rank of the gauge group and the amount of matter. We consider landscapes of field theories subject to such to boundedness constraints. We argue that appropriately "coarse-grained" aspects of the randomly chosen field theory in such landscapes, such as the fraction of gauge groups with ranks in a given range, can be statistically predictable. To illustrate our point we show how the uniform measures on simple classes of N=1 quiver gauge theories localize in the vicinity of theories with certain typical structures. Generically, this approach would predict a high energy theory with very many gauge factors, with the high rank factors largely decoupled from the low rank factors if we require asymptotic freedom for the latter.
Balasubramanian Vijay
Boer Jan de
Naqvi A. A.
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