Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-08-07
Nucl.Phys.B526:543-571,1998
Physics
High Energy Physics
High Energy Physics - Theory
latex, 27 pages
Scientific paper
10.1016/S0550-3213(98)00278-8
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 $% a_{UV}-a_{IR}>0$. 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.
Anselmi Damiano
Freedman Daniel Z.
Grisaru Marcus T.
Johansen Anders
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