Chiral gauge theory and nontrivial spacetime topology: Lorentz and CPT violation
Abstract:
In this dissertation, the effective gauge field action of the chiral gauge theory is calculated, which
is defined over a four-dimensional spacetime manifold (M = R³ x S¹) with one compactified coordinate.
The gauge fields and fermionic fields have periodic boundary conditions over the compact
dimension. The Abelian gauge-field configurations Aμ(x) can depend upon the compactified coordinate
x⁴ and have a vanishing component A₄. The existence of CPT (and Lorentz) violation
is derived perturbatively with a generalized Pauli-Villars regularization. For more justification,
the CPT anomaly is established nonperturbatively with a lattice regularization scheme based on
Ginsparg–Wilson fermions.
is defined over a four-dimensional spacetime manifold (M = R³ x S¹) with one compactified coordinate.
The gauge fields and fermionic fields have periodic boundary conditions over the compact
dimension. The Abelian gauge-field configurations Aμ(x) can depend upon the compactified coordinate
x⁴ and have a vanishing component A₄. The existence of CPT (and Lorentz) violation
is derived perturbatively with a generalized Pauli-Villars regularization. For more justification,
the CPT anomaly is established nonperturbatively with a lattice regularization scheme based on
Ginsparg–Wilson fermions.
| Zugehörige Institution(en) am KIT | Institut für Theoretische Physik (ITP) |
| Publikationstyp | Hochschulschrift |
| Publikationsjahr | 2018 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-798081 KITopen-ID: 1000079808 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 82 S. |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Physik (PHYSIK) |
| Institut | Institut für Theoretische Physik (ITP) |
| Prüfungsdatum | 22.12.2017 |
| Schlagwörter | Spacetime topology, chiral gauge theory, anomaly, Lorentz violation, CPT violation. |
| Referent/Betreuer | Klinkhamer, F. |