[{"type":"thesis","title":"Chiral gauge theory and nontrivial spacetime topology: Lorentz and CPT violation","issued":{"date-parts":[["2018"]]},"DOI":"10.5445\/IR\/1000079808","genre":"Dissertation","author":[{"family":"Ghosh","given":"Kumar Jang Bahadur"}],"publisher":"Karlsruhe","abstract":"In this dissertation, the effective gauge field action of the chiral gauge theory is calculated, which\r\nis defined over a four-dimensional spacetime manifold (M = R\u00b3 x S\u00b9) with one compactified coordinate.\r\nThe gauge fields and fermionic fields have periodic boundary conditions over the compact\r\ndimension. The Abelian gauge-field configurations A\u03bc(x) can depend upon the compactified coordinate\r\nx\u2074 and have a vanishing component A\u2084. The existence of CPT (and Lorentz) violation\r\nis derived perturbatively with a generalized Pauli-Villars regularization. For more justification,\r\nthe CPT anomaly is established nonperturbatively with a lattice regularization scheme based on\r\nGinsparg\u2013Wilson fermions.","keyword":"Spacetime topology, chiral gauge theory, anomaly, Lorentz violation, CPT violation.","number-of-pages":82,"kit-publication-id":"1000079808"}]