Three Dimensional Gauge Theory with Topological and Non-topological Mass: Hamiltonian and Lagrangian Analysis

Three dimensional (abelian) gauged massive Thirring model is bosonized in the large fermion mass limit. A further integration of the gauge field results in a non-local theory. A truncated version of that is the Maxwell Chern Simons (MCS) theory with a conventional mass term or MCS Proca theory. This gauge invariant theory is completely solved in the Hamiltonian and Lagrangian formalism, with the spectra of the modes determined. Since the vector field constituting the model is identified (via bosonization) to the fermion current, the charge current algebra, including the Schwinger term is also computed in the MCS Proca model.Comment: Eight pages, Latex, No figures

Elite dominance and under-investment in mass education: Disparity in the social development of the Indian states, 1960-92

Literacy rates continue to be strikingly low among women and low caste population compared to the general population not only in any Indian state, but more so in the worst performing ones. The present paper offers an explanation of this disparate development in terms of the hypothesis of elite dominance that discriminates against women and low-caste people and systematically under-invests in mass education. We experiment with various indirect economic and political measures of elite dominance. Results based on the Indian state-level data for the period 1960-92 suggest that higher share of land held by the top 5% of the population (a) lowers spending on education as well as total developmental spending and (b) increases total non-developmental spending. (c) Greater proportion of minority representations (female and low caste members) in the ruling government however fails to have any perceptible impact on both development (including education) and non-development spending in our sample. (d) While underinvestment in education by the elite is supported by the lack of demand for education from the poorer population (who are often the marginalised people), greater initiatives of the state to enact land reform legislations enhance the spending on education

Poverty, heterogeneous elite, and allocation of public spending: Panel evidence from the Indian States

In this paper, we explore how in the world’s largest democracy, India, the presence of different elite groups – the dominant landed and capitalist elite and the minority elite (who are the elected representatives of the marginalised women and low caste population) – could affect the nature and extent of public spending on various accounts, especially education. Our results suggest that the dominant landed elite tends to be unresponsive to the underlying poverty rate while the capitalist elite respond to the poverty rate by increasing the share of education spending. After controlling for all other factors, presence of the minority elite has a limited impact, if at all. Results are robust to alternative specifications

Utility and productivity enhancing public capital in a growing economy

We examine the impact of fiscal policy on macroeconomic performance and welfare when public capital provides both productive and utility services to the private sector. When these services are subject to congestion, a consumption tax is distortionary, generating a dynamic adjustment that contrasts with that of an income tax. In correcting for congestion, an income tax-consumption sub-sidy combination is the preferred policy when factor-substitutability in production is limited. On the other hand, an increase in the elasticity of substitution in production raises the e¢ cacy of a consumption tax as an alternative to the income tax. Not recognizing the relative importance of public capital in utility services might lead the fiscal authority to incorrectly estimate the impact of public policies on welfare. The design of optimal scal policy demonstrates the possibilities for using both income and consumption-based fiscal instruments as opposed to relying on only the income tax rate

Planar Two-particle Coulomb Interaction: Classical and Quantum Aspects

The classical and quantum aspects of planar Coulomb interactions have been studied in detail. In the classical scenario, Action Angle Variables are introduced to handle relativistic corrections, in the scheme of time-independent perturbation theory. Complications arising due to the logarithmic nature of the potential are pointed out. In the quantum case, harmonic oscillator approximations are considered and effects of the perturbations on the excited (oscillator) states have been analysed. In both the above cases, the known 3+1-dimensional analysis is carried through side by side, for a comparison with the 2+1-dimensional (planar) results.Comment: LaTex, Figures on request, e-mail:<[email protected]