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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 |
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| 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.
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| Szükséges előismeretek: |
Lattice field theory; random matrix theory; basic coding (FORTRAN or C) |
| Egyetemi konzulens: |
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| Tanszék: |
Elméleti Fizikai Tanszék |
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