Abstract The Konishi anomalies for noncommutative N = 1 supersymmetric U(1) gauge theory arising from planar and nonplanar diagrams are calculated. Whereas planar Konishi anomaly is the expected ⋆-deformation of the commutative anomaly, nonplanar anomaly reflects the important features of nonplanar diagrams of noncommutative gauge theories, such as UV/IR mixing and the appearance of nonlocal op...

We derive an effective action for Dirac fermions coupled to O(3) non-linear σ-model (NLσM) through the Yukawa-type interaction. The nonperturbative (global) quantum anomaly of this model results in a Hopf term for the effective NLσM. We obtain this term using the “embedding” of the CP1 model into the CPM generalization of the model which makes the quantum anomaly perturbative. This perturbative...

Using the point-splitting regularisation, we calculate the axial anomaly in an arbitrary even dimensional Non-Commutative (NC) field theory. Our result is (star) gauge invariant in its unintegrated form, to the leading order in the NC parameter. Exploiting the Seiberg Witten map, this result gets transformed to the familiar Adler-Bell-Jackiw anomaly in ordinary space-time. Furthermore, using th...

We discuss the effect of chiral anomaly as a possible mechanism for triggering formation of domains of disoriented chiral condensate (DCC) in relativistic heavy ion collisions. The anomalous π → 2γ coupling and the strong, Lorentz ∗[email protected] †[email protected] ‡[email protected] 1 contracted electromagnetic fields of the heavy ions combine to produce the “anoma...

In photoluminescence spectroscopy of a low-mobility two-dimensional electron gas subjected to a quantizing magnetic field, we observe an anomaly around nu=1 / 3 at a very low temperature (0.1 K) and an intermediate electron density (0.9 x 10(11) cm(-2)). The anomaly is explained as due to perturbation of the incompressible liquid at the Laughlin state due to close proximity of a localized charg...

We study the anomalous conductance plateau around G=0.7(2e2/h) and the zero bias anomaly in ballistic hole quantum wires with respect to in-plane magnetic fields applied parallel B parallel and perpendicular B perpendicular to the quantum wire. As seen in electron quantum wires, the magnetic fields shift the 0.7 structure down to G=0.5(2e2/h) and simultaneously quench the zero bias anomaly. How...

By phenomenological Landau analysis, it is shown that a scalar order parameter with the pointgroup symmetry Γ1g explains most properties associated with the phase transition in PrFe4P12 at 6.5 K. The scalar-order model reproduces magnetic and elastic properties in PrFe4P12 consistently such as (i) the anomaly of the magnetic susceptibility and elastic constant at the transition temperature, (ii...