Ultraviolet fixed points in gauge and susy field theories in extra dimensions | Zendy

Dimitri I Kazakov | Zendy

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Ultraviolet fixed points in gauge and susy field theories in extra dimensions

Author(s) -

Dimitri I Kazakov

Publication year - 2003

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 - 10.1088/1126-6708/2003/03/020

Subject(s) - fixed point , physics , gauge theory , ultraviolet fixed point , vertex (graph theory) , theoretical physics , mathematical physics , dimensionless quantity , supersymmetry , field (mathematics) , invariant (physics) , conformal map , yukawa potential , quantum mechanics , mathematics , mathematical analysis , pure mathematics , quantum gravity , combinatorics , thermal quantum field theory , graph , quantum

We consider gauge field theories in $D>4$ following the Wilson RG approachand show that they possess the ultraviolet fixed points where the gaugecoupling is dimensionless in any space-time dimension. At the fixed point theanomalous dimensions of the field and vertex operators are known exactly. Thesefixed points are nonperturbative and correspond to conformal invarianttheories. The same phenomenon also happens in supersymmetric theories with theYukawa type interactions.Comment: LaTeX, 10pp. v2: Comments and references adde

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