33365795
Batalin-Fradkin quantization of anomalous chiral gauge theories.
We quantize two-dimensional anomalous chiral gauge theories by following the Batalin-Fradkin prescription for converting second-class systems to first-class ones. Because of the chiral anomaly, the classical Poisson brackets of the Batalin-Fradkin scheme must be replaced by anomalous Poisson brackets in the fermionic formulation. With respect to these brackets the first-class constraints, the BRST charge, and the unitarizing Hamiltonian are explicitly constructed. The partition function is computed for different gauge choices. The unitary gauge and the conventional Faddeev-Popov-like gauges are analyzed in detail. In the latter gauges we obtain generalized Wess-Zumino-type actions.
118826827
Generalized supersymmetry and sigma models
Abstract In this paper, we discuss the generalizations of exact supersymmetries present in the supersymmetrized sigma models. These generalizations are made by making the supersymmetric transformation parameter field-dependent. Remarkably, the supersymmetric effective actions emerge naturally through the Jacobian associated with the generalized supersymmetry transformations. We explicitly demonstrate these for two different supersymmetric sigma models, namely, one-dimensional sigma model and topological sigma model for hyperinstantons on quaternionic manifold.
122208933
THE GAUSS OPERATOR IN ANOMALOUS GAUGE THEORIES: A HAMILTONIAN FORMULATION
The time dependence of the Gauss law operator in anomalous gauge theories has been investigated in the Hamiltonian formulation using the point-splitting regularization. Consistent results have been obtained in both 1+1 and 1+3 dimensions.
119305031
Hawking radiation and covariant anomalies
Generalizing the method of Wilczek and collaborators we provide a derivation of Hawking radiation from charged black holes using only covariant gauge and gravitational anomalies. The reliability and universality of the anomaly cancellation approach to Hawking radiation is also discussed.
13943253
COVARIANT ANOMALIES, HORIZONS AND HAWKING RADIATION
Hawking radiation is obtained from anomalies resulting from a breaking of diffeomorphism symmetry near the event horizon of a black hole. Such anomalies, manifested as a nonconservation of the energy–momentum tensor, occur in two different forms — covariant and consistent. The crucial role of covariant anomalies near the horizon is revealed, since this is the only input required to obtain the Hawking flux, thereby highlighting the universality of this effect. A brief description of the application of this method to obtain thermodynamic entities like entropy or temperature is provided.
119520990
The Chiral Oscillator and its Applications in Quantum Theory
The fundamental importance of the chiral oscillator is elaborated. Its quantum invariants are computed. As an application the Zeeman effect is analysed. We also show that the chiral oscillator is the most basic example of a duality invariant model, simulating the effect of the familiar electric-magnetic duality.
22567437
Induced fermionic charge in background gauge theories in odd space-time dimensions.
27542402
Can cosmic strangelets reach the earth?
The mechanism for the propagation of strangelets with low baryon number through the atmosphere of the Earth has been explored. It has been shown that, under suitable initial conditions, such strangelets may indeed reach depths near mountain altitudes with mass numbers and charges close to the observed values in cosmic ray experiments.
34164831
Oblique electroweak corrections and new physics.
Oblique electroweak parameters {ital {tilde S}}, {ital {tilde T}}, and {ital {tilde U}}, defined so as to be nonvanishing only for physics beyond the standard model, are determined by direct use of high-statistics data from the CERN {ital e}{sup +}{ital e{minus}} collider LEP at different energy points around the {ital Z} peak. Additional information from related electroweak measurements are used as constraints. The results are {ital {tilde S}}={minus}0.76{plus minus}0.71, {ital {tilde T}}={minus}0.70{plus minus}0.49, and {ital {tilde U}}={minus}0.11{plus minus}1.07. The consequent restrictions on extra fermion generations and an extra neutral gauge boson are discussed.