Stationary RG flow and thermodynamics of conformal field theories | Zendy

Anastasios C. Petkou | Zendy; George Siopsis | Zendy

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Stationary RG flow and thermodynamics of conformal field theories

Author(s) -

Anastasios C. Petkou,

George Siopsis

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/02/002

Subject(s) - physics , renormalization group , conformal map , mathematical physics , massless particle , boson , conformal field theory , fermion , infrared fixed point , fixed point , flow (mathematics) , vector field , theoretical physics , quantum mechanics , mathematics , mathematical analysis , mechanics

We discuss the free-energy density of bosonic and fermionic theoriespossessing strongly coupled critical points in D=3. We construct a stationaryrenormalization group trajectory which interpolates between the free masslesstheory of N scalars and a class of interacting theories including both bosonsand fermions. At a special point of this trajectory the free-energy density is5/4 times the free-energy density of the O(N) vector model at its nontrivialcritical point. Our method could in principle be useful in the study of othertheories with strongly coupled fixed points, such as {\cal N}=4 SYM in D=4.Comment: 13 pages, RevTeX, 1 figure, version to appear in JHE

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