Perturbative and non perturbative effects in the Standard Model and orbifolded ADS/CFT based theories

We study some perturbative and nonperturbative effects in the framework of the Standard Model of particle physics. In particular we consider the time dependence of the Higgs vacuum expectation value given by the dynamics of the StandardModel and study the non-adiabatic production of both bosons and fermions, which is intrinsically non-perturbative. In theHartree approximation, we analyze the general expressions that describe the dissipative dynamics due to the backreaction of the produced particles. Then, we solve numerically some relevant cases for the Standard Model phenomenology in the regime of relatively small oscillations of the Higgs vacuum expectation value (vev). As perturbative effects, we consider the leading logarithmic resummation in small Bjorken x QCD, concentrating ourselves on the Nc dependence of the Green functions associated to reggeized gluons. Here the eigenvalues of the BKP kernel for states of more than three reggeized gluons are unknown in general, contrary to the large Nc limit (planar limit) case where the problem becomes integrable. In this contest we consider a 4-gluon kernel for a finite number of colors and define some simple toy models for the configuration space dynamics, which are directly solvable with group theoretical methods. In particular we study the depencence of the spectrum of thesemodelswith respect to the number of colors andmake comparisons with the planar limit case. In the final part we move on the study of theories beyond the Standard Model, considering models built on AdS5 S5/Γ orbifold compactifications of the type IIB superstring, where Γ is the abelian group Zn. We present an appealing three family N = 0 SUSY model with n = 7 for the order of the orbifolding group. This result in a modified Pati–Salam Model which reduced to the StandardModel after symmetry breaking and has interesting phenomenological consequences for LHC.

Il teatro e Derek Walcott. Prospettive postcoloniali e multiculturali

This thesis explores the function of the theatre in Derek Walcott's literary achievements. Focusing on the semiotic theories that characterize the study of drama as a literary text and as a staged text, the initial approach aims at creating a relationship between semiotics and postcolonial theories. In particular Pavis's concept of intercultural semiotics and Peter Brook's innovative visions about the regenerative function of the space of the theatre represent a useful theoretical basis to consider the specificity of postcolonial theatre as an innovative space, where new cultural meanings emerge. Derek Walcott's dramatic production is studied according to this approach, in order to be defined as a new hybrid, syncretic and multicultural space. After considering the development of drama from a postcolonial and Caribbean perspective, this study begins with an insight into Walcott's views on theatre, taking into consideration his linguistic depth, linked to the European tradition, but also his strong concern with the Caribbean public's cultural needs. The double tension characterizing Walcott's cultural identity as well as his art represents an essential element to analyse his dramatic texts. With an ambivalent approach, which takes into consideration language and performance, this thesis offers an insight into Walcott's plays to detect their postcolonial and multicultural elements. The analysis of the different texts are divided into two chapters (third and fourth). The third chapters - mainly focused on postcolonial themes - explores issues such as language, identity and space, whereas the fourth chapter centers on multiculturalism in text and performance. Dealing with interracial interactions, issues like re-writing classical texts and the manipulation of personal and collective memory as a way to re- establish new historical perspectives, the last part of the thesis aims at demonstrating the idea that Walcott has created a new space in the theatre made by the harmonic fusion of different and opposed cultural elements, which are visible in the literary as well as in the staged text. The textual perspective of Walcott's drama fits into Pavis's definition of intercultural semiotics, as the faithful representation of a multicultural creole society: that of the West Indies.

Cosmological perturbations in generalized theories of gravity

The first part of the thesis concerns the study of inflation in the context of a theory of gravity called "Induced Gravity" in which the gravitational coupling varies in time according to the dynamics of the very same scalar field (the "inflaton") driving inflation, while taking on the value measured today since the end of inflation. Through the analytical and numerical analysis of scalar and tensor cosmological perturbations we show that the model leads to consistent predictions for a broad variety of symmetry-breaking inflaton's potentials, once that a dimensionless parameter entering into the action is properly constrained. We also discuss the average expansion of the Universe after inflation (when the inflaton undergoes coherent oscillations about the minimum of its potential) and determine the effective equation of state. Finally, we analyze the resonant and perturbative decay of the inflaton during (p)reheating. The second part is devoted to the study of a proposal for a quantum theory of gravity dubbed "Horava-Lifshitz (HL) Gravity" which relies on power-counting renormalizability while explicitly breaking Lorentz invariance. We test a pair of variants of the theory ("projectable" and "non-projectable") on a cosmological background and with the inclusion of scalar field matter. By inspecting the quadratic action for the linear scalar cosmological perturbations we determine the actual number of propagating degrees of freedom and realize that the theory, being endowed with less symmetries than General Relativity, does admit an extra gravitational degree of freedom which is potentially unstable. More specifically, we conclude that in the case of projectable HL Gravity the extra mode is either a ghost or a tachyon, whereas in the case of non-projectable HL Gravity the extra mode can be made well-behaved for suitable choices of a pair of free dimensionless parameters and, moreover, turns out to decouple from the low-energy Physics.

"Il carceriere di sé medesimo" di Lodovico Adimari e Alessandro Melani, Firenze 1681. Dalla «comedia» di Pedro Calderón de la Barca al «drama per musica» italiano di fine Seicento

Questo lavoro è imperniato sullo studio di uno dei melodrammi più interessanti della fine del XVII secolo: “Il carceriere di sé medesimo” di Lodovico Adimari (1644-1708) e Alessandro Melani (1639-1703), allestito per la prima volta a Firenze nel 1681, e ripreso nel giro di una ventina d’anni a Reggio (1684), a Bologna (1697) e a Vienna (1702). L’opera vanta un’origine drammatica di spicco: risale infatti alla commedia “Guardarse a sí mismo” di Pedro Calderón de la Barca (1600-1681) mediata dal “Geôlier de soi-mesme” di Thomas Corneille (1625-1709), e presenta qualità poetiche e musicali evidenti, assicurate dai nomi del poeta Lodovico Adimari e del compositore Alessandro Melani. A ciò si aggiungano una tradizione articolata in quattro allestimenti, nonché un elevato numero di testimoni superstiti: cinque edizioni del libretto (testimoniate da numerosi esemplari) e il numero fortunatissimo di tre partiture manoscritte, conservate a Parigi, Bologna e Modena. La tesi contiene l’edizione critica del “Carceriere di sé medesimo” di Adimari con tutte le varianti accumulatesi nella riedizione del libretto e nella copiatura della partitura, l’analisi del dramma, a partire dal confronto tra i testi di Calderón, Corneille e Adimari, e lo studio delle sue componenti drammatiche, formali e contenutistiche. Si aggiunge uno studio sul contesto storico-musicale degli allestimenti di Firenze, Reggio, Bologna e Vienna, nonché l’edizione dei restanti tre drammi di Adimari: la commedia “Le gare dell’amore e dell’amicizia” (1679), e il dramma per musica “L’amante di sua figlia” (1684).