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Convexity of the effective action from functional flows

We show that convexity of the effective action follows from its functional flow equation. Our analysis is based on a new, spectral representation. The results are relevant for the study of physical instabilities. We also derive constraints for convexity-preserving regulators within general truncatio...

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Detalles Bibliográficos
Autores principales: Litim, D F, Pawlowski, J M, Vergara, L
Lenguaje:eng
Publicado: 2006
Materias:
Acceso en línea:http://cds.cern.ch/record/929763
Descripción
Sumario:We show that convexity of the effective action follows from its functional flow equation. Our analysis is based on a new, spectral representation. The results are relevant for the study of physical instabilities. We also derive constraints for convexity-preserving regulators within general truncation schemes including proper-time flows, and bounds for infrared anomalous dimensions of propagators.