Sum rules and spectral density flow in QCD and in superconformal theories

Antonio Costantini, Luigi Delle Rose, Mirko Serino

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We discuss the signature of the anomalous breaking of the superconformal symmetry in ${\cal N}$ = 1 super Yang Mills theory and its manifestation in the form of anomaly poles. Moreover, we describe the massive deformations of the ${\cal N}$ = 1 theory and the spectral densities of the corresponding anomaly form factors. These are characterized by spectral densities which flow with the mass deformation and turn the continuum contributions from the two-particle cuts of the intermediate states into poles, with a single sum rule satisfied by each component. The poles can be interpreted as signaling the exchange of a composite axion/dilaton/dilatino (ADD) multiplet in the effective Lagrangian. We conclude that global anomalous currents characterized by a single flow in the perturbative picture always predict the existence of composite interpolating fields.

Original languageEnglish
Title of host publicationEPJ Web of Conferences
EditorsClaudio Coriano, Pietro Colangelo, Donato Creanza, Eugenio Nappi, Fulvia De Fazio, Giuseppe E. Bruno, Gabriele Chiodini
PublisherEDP Sciences
ISBN (Electronic)9782759816859
DOIs
StatePublished - 1 Jan 2014
Externally publishedYes
Event2014 7th International Workshop on Quantum Chromodynamics - Theory and Experiment, QCD@Work 2014 - Giovinazzo, Bari, Italy
Duration: 16 Jun 201419 Jun 2014

Publication series

NameEPJ Web of Conferences
Volume80
ISSN (Print)2101-6275
ISSN (Electronic)2100-014X

Conference

Conference2014 7th International Workshop on Quantum Chromodynamics - Theory and Experiment, QCD@Work 2014
Country/TerritoryItaly
CityGiovinazzo, Bari
Period16/06/1419/06/14

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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