English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The principal goal of the physics of the fundamental interactions is toprovide a consistent description of the nature of the subnuclear forces, whichmanifest in our universe, together with the gravitational force, in a unifiedframework. This attempt, which is far from being complete, is characterized bytwo milestones, the Standard Model of the elementary particles and theEinstein's theory of General Relativity. The coupling of a quantum fieldtheory, such as the Standard Model, to a weak gravitational background providessignificant information concerning the coupling of matter to gravity and allowsto study in a systematic way the origin of the conformal anomaly. For thisreason, the computation of correlation functions in a weak gravitationalbackground is of remarkable interest and the consequences of this analysis arealso of phenomenological relevance. For instance, they concern the appearancein the spectrum of the theory of a composite state, the dilaton, which isidentified, in perturbation theory, by an infrared coupled anomaly pole. Thestudy of some applications of the methods discussed so far is presented in thesecond part of this thesis. In particular it is shown that the analysis of theclassical metric perturbations in gravity can be related to some specific fieldtheories via a holographic mapping. This requires the computation ofcorrelators of energy-momentum tensors in $d=3$ dimensions and plays a role inthe study of the non-gaussianities of the cosmic background radiation in theearly universe. Finally, we mention an application in momentum space of theconstraints derived from the conformal symmetry in the characterization of somecorrelation functions. This relies on the solution of a system of second orderpartial differential equations for a certain class of generalizedhypergeometric functions of two variables.

The Standard Model in a Weak Gravitational Background. Dilatons, Scale Anomalies and Conformal Methods