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On the c-theorem in more than two dimensions

2000/09/15 by Andrea Cappelli, A. Cappelli, G. D'Appollonio +9 · 1 citation
Engineering · Physics and Astronomy · #Elasticity and Material Modeling #Spacecraft and Cryogenic Technologies #Superconducting Materials and Applications #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0009119

Latex, 7 pages, 1 table

arxiv created 2000/09/15 · arxiv updated 2009/11/30

Abstract

Several pieces of evidence have been recently brought up in favour of the c-theorem in four and higher dimensions, but a solid proof is still lacking. We present two basic results which could be useful for this search: i) the values of the putative c-number for free field theories in any even dimension, which illustrate some properties of this number; ii) the general form of three-point function of the stress tensor in four dimensions, which shows some physical consequences of the c-number and of the other trace-anomaly numbers.

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