Renormalization Group Flow and Thermodynamics of Conformal Field Theories

Details Renormalization Group Flow and Thermodynamics of Conformal Field Theories Renormalization Group Flow and Thermodynamics of Conformal Field Theories

1999-06-11

arxiv.org/abs/hep-th/9906085v2

JHEP 0002:002,2000

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, RevTeX, 1 figure, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2000/02/002

We discuss the free-energy density of bosonic and fermionic theories possessing strongly coupled critical points in D=3. We construct a stationary renormalization group trajectory which interpolates between the free massless theory of N scalars and a class of interacting theories including both bosons and fermions. At a special point of this trajectory the free-energy density is 5/4 times the free-energy density of the O(N) vector model at its nontrivial critical point. Our method could in principle be useful in the study of other theories with strongly coupled fixed points, such as {\cal N}=4 SYM in D=4.

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