Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-16
JHEP 0005 (2000) 014
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 14 pages
Scientific paper
10.1088/1126-6708/2000/05/014
We show that if the beta functions of a field theory are given by the gradient of a certain potential on the space of couplings, a gravitational background in one more dimension can express the renormalization group (RG) flow of the theory. The field theory beta functions and the gradient flow constraint together reconstruct the second order spacetime equations of motion. The RG equation reduces to the conventional gravitational computation of the spacetime quasilocal stress tensor, and a c-theorem holds true as a consequence of the Raychaudhuri equation. Conversely, under certain conditions, if the RG evolution of a field theory possesses a monotonic c-function, the flow of couplings can be expressed in terms of a higher dimensional gravitational background.
Balasubramanian Vijay
Gimon Eric
Minic Djordje
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