Superconformal sum rules and the spectral density flow of the composite dilaton (ADD) multiplet in N = 1 theories

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Abstract

Abstract: We discuss the signature of the anomalous breaking of the superconformal symmetry in N = 1 super Yang Mills theory, mediated by the Ferrara-Zumino hypercurrent (J ) with two vector (V) supercurrents (J VV) and its manifestation in the anomaly action, in the form of anomaly poles. This allows to investigate in a unified way both conformal and chiral anomalies. The analysis is performed in parallel to the Standard Model, for comparison. We investigate, in particular, massive deformations of the N = 1 theory and the spectral densities of the anomaly form factors which are extracted from the components of this correlator. In this extended framework it is shown that all the anomaly form factors are characterized by spectral densities which flow with the mass deformation. In particular, the continuum contributions from the two-particle cuts of the intermediate states turn into poles in the zero mass limit, with a single sum rule satisfied by each component. Non anomalous form factors, instead, in the same anomalous correlators, are characterized by non-integrable spectral densities. These tend to uniform distributions as one moves towards the conformal point, with a clear dual behaviour. As in a previous analysis of the dilaton pole of the Standard Model, also in this case the poles can be interpreted as signaling the exchange of a composite dilaton/axion/dilatino (ADD) multiplet in the effective Lagrangian. The pole-like behaviour of the anomaly form factors is shown to be a global feature of the correlators, present at all energy scales, due to the sum rules.

Autore Pugliese

Tutti gli autori

  • C. Coriano , A. Costantini , L. Delle Rose , M. Serino

Titolo volume/Rivista

JOURNAL OF HIGH ENERGY PHYSICS

Anno di pubblicazione

2014

ISSN

1126-6708

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

2

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile