Tipo di tesi 
Tesi di laurea magistrale 
Autore 
DEGLI ESPOSTI, GIANLUCA

URN 
etd07302020170017 
Titolo 
On the dressed Dirac propagator from a supersymmetric spinning particle model 
Titolo in inglese 
On the dressed Dirac propagator from a supersymmetric spinning particle model 
Struttura 
Dipartimento di Scienze Fisiche, Informatiche e Matematiche 
Corso di studi 
PHYSICS – FISICA (D.M.270/04) 
Commissione 
Nome Commissario 
Qualifica 
CORRADINI OLINDO 
Primo relatore 
TRANCANELLI DIEGO 
Controrelatore 

Parole chiave 
 Dirac propagator
 master formula
 spinning particle
 supersymmetry
 wordline formalism

Data inizio appello 
20200925 
Disponibilità 
Accessibile via web (tutti i file della tesi sono accessibili) 
Riassunto analitico
In the present study we investigate a locally supersymmetric worldline action on the line, i.e. 1D supergravity, show that it describes a spin 1/2 particle, and compute the master formula that describes the Nphoton amplitude. While the same computation for the scalar particle, both in an abelian and nonabelian background, has already been worked out in detail, the computation for the spinning particle has been performed with the aid of spin factors introduced by Feynman and a “symbol map" that allows converting certain anticommuting objects into products of gamma matrices. The scope of this work is to fill this gap and obtain the general Nphoton amplitude with a pure worldline approach. In this approach, coherent states are employed, and it is of primary importance to write the result in terms of gamma matrices. By doing so, a map between coherent states and gamma matrices is constructed, and which turns out to be vaguely reminiscent of the symbol map.

Abstract
In the present study we investigate a locally supersymmetric worldline action on the line, i.e. 1D supergravity, show that it describes a spin 1/2 particle, and compute the master formula that describes the Nphoton amplitude. While the same computation for the scalar particle, both in an abelian and nonabelian background, has already been worked out in detail, the computation for the spinning particle has been performed with the aid of spin factors introduced by Feynman and a “symbol map" that allows converting certain anticommuting objects into products of gamma matrices. The scope of this work is to fill this gap and obtain the general N photon amplitude with a pure worldline approach. In this approach, coherent states are employed, and it is of primary importance to write the result in terms of gamma matrices. By doing so, a map between coherent states and gamma matrices is constructed, and which turns out to be vaguely reminiscent of the symbol map.

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