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mesterszakos diplomatéma részletei

LEZÁRVA!

A kiíró adatai
Név: Matteo Giordano
Tudományos fokozat: PhD
Intézet: ELTE TTK Elméleti Fizika Tanszék
Telefonszám: 6121
Honlap: http://bodri.elte.hu

 

A mesterszakos diplomatéma:
Címe: Localisation of Dirac modes in the 3d Z_2 gauge theory on the lattice
A munka jellege: elméleti
Szakterületi besorolás: Részecskefizika
A téma rövid leírása: Many gauge theories display a transition at finite temperature where both their confinement and chiral properties change: while at low temperatures they are confining and chiral symmetry is spontaneously broken, at high temperatures confinement is lost and chiral symmetry is restored. Deconfinement and chiral-symmetry restoration in gauge theories on the lattice are accompanied by the localisation of the low-lying Dirac eigenmodes. The close connection between these three phenomena seems rather general, and its investigation may lead to a better understanding of gauge theories at finite temperature.

The purpose of this work is to study localisation of Dirac modes in the Z_2 lattice pure gauge theory in 2+1 dimensions, the simplest possible gauge theory on the lattice, to find out whether the connection between deconfinement and localisation persists even in such a simplified setting. The work consists in performing a numerical simulation of the model, diagonalising the staggered Dirac operator on the generated configurations, and studying the localisation properties of the eigenvectors and the correlations among the corresponding eigenvalues.
Szükséges előismeretek: Lattice field theory; random matrix theory; basic coding (FORTRAN or C)
Egyetemi konzulens:
Tanszék: Elméleti Fizikai Tanszék

 

 

 

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