We study ’t Hooft anomalies for a global discrete internal symmetry G. We construct examples of bosonic field theories in three dimensions with a nonvanishing ’t Hooft anomaly for a discrete global symmetry. We also construct field theories in three dimensions with a global discrete internal symmetry G1 × G2 such that gauging G1 necessarily breaks G2 and vice versa. This is analogous to the Adl...

We study 't Hooft anomalies for a global discrete internal symmetry G. We construct examples of bosonic field theories in three dimensions with a nonvanishing 't Hooft anomaly for a discrete global symmetry. We also construct field theories in three dimensions with a global discrete internal symmetry G(1) × G(2) such that gauging G(1) necessarily breaks G(2) and vice versa. This is analogous to...

We make an exact field theoretical computation of the conformal anomaly for two-dimensional submanifold observables. By including a scalar field in the definition for the Wilson surface, as appropriate for a spontaneously broken A1 theory, we get a conformal anomaly which is such that N times it is equal to the anomaly that was computed in hep-th/9901021 in the large N limit and which relied on...

Quantum anomalies both in the Riemannian and in the Riemann-Cartan spacetimes were calculated previously using different methods, see e.g. [11,25]. However, recently [3] the completeness of these earlier calculations have been questioned which all demonstrated that the Nieh–Yan four-form [18] is irrelevant to the axial anomaly. For the axial anomaly, we have a couple of distinguished features. ...

Chiral U(1) anomaly is derived with mathematical rigor for a Euclidean fermion coupled to a smooth external U(1) gauge field on an even dimensional torus as a continuum limit of lattice regularized fermion field theory with the Wilson term in the action. The present work rigorously proves for the first time that the Wilson term correctly reproduces the chiral anomaly. Running title: Mathematica...

to doing this research daily interpolated temperature data from asfezari data base have been used. in order to recognition extreme cold days, the normalized temperature deviation index (ntdi) applied. then the index sorted according to extensive and severity and first 500 days selected for analysis. the geopotential height data extracted from www.esrl.noaa.gov data base. the thickness anomaly c...