Non-perturbative formulas for central functions of supersymmetric gauge theories

DOI10.1016/S0550-3213(98)00278-8zbMATH Open1031.81565arXivhep-th/9708042OpenAlexW2014760850MaRDI QIDQ1570515

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Publication date: 11 July 2000

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Abstract: For quantum field theories that flow between ultraviolet and infrared fixed points, central functions, defined from two-point correlators of the stress tensor and conserved currents, interpolate between central charges of the UV and IR critical theories. We develop techniques that allow one to calculate the flows of the central charges and that of the Euler trace anomaly coefficient in a general N=1 supersymmetric gauge theory. Exact, explicit formulas for $SU(N_c)$ gauge theories in the conformal window are given and analysed. The Euler anomaly coefficient always satisfies the inequality $\mathrm{\%}{a}_{UV}-a_{IR}>0$. This is new evidence in strongly coupled theories that this quantity satisfies a four-dimensional analogue of the $c$-theorem, supporting the idea of irreversibility of the RG flow. Various other implications are discussed.

Full work available at URL: https://arxiv.org/abs/hep-th/9708042

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