Studies on magnetic monopole solutions of non-abelian gauge theories and related problems

In 1931 Dirac studied the motion of an electron in the field of a magnetic monopole and found that the quantization of electric charge can be explained by postulating the mere existence of a magnetic monopole. Since 1974 there has been a resurgence of interest in magnetic monopole due to the work of ‘t’ Hooft and Polyakov who independently observed that monopoles can exist as finite energy topologically stable solutions to certain spontaneously broken gauge theories. The thesis, “Studies on Magnetic Monopole Solutions of Non-abelian Gauge Theories and Related Problems”, reports a systematic investigation of classical solutions of non-abelian gauge theories with special emphasis on magnetic monopoles and dyons which possess both electric and magnetic charges. The formation of bound states of a dyon with fermions and bosons is also studied in detail. The thesis opens with an account of a new derivation of a relationship between the magnetic charge of a dyon and the topology of the gauge fields associated with it. Although this formula has been reported earlier in the literature, the present method has two distinct advantages. In the first place, it does not depend either on the mechanism of symmetry breaking or on the nature of the residual symmetry group. Secondly, the results can be generalized to finite temperature monopoles.

Analysis of resource use efficiency of the spinning mills in Kerala

This thesis discusses the factors which influence the productive and financial performance of the spinning mills in Kerala. The study will also help to assess the effect of ongoing reforms in the industrial sector in India. The main objective of the study is to identify and analyse the factors affecting the efficiency of the spinning mills. The unique feature of the study is that it compares the performance of private sector in relation to its public counterparts and also performance of small sector in relation to medium sector. The study is carried out with reference to the relative performance of differmills in Kerala and to identify the sources of differences in performance. The study covers twenty one spinning mills in Kerala, of which ten are in the private sector, four under NTC, three under co—operat;ive sector and four under KSTC.Measured in terms of firm-size fifteen belong to small size with a spindleage of less than 26,000 and six are in the medium size with a spindleage of 26,000 to 50,0OO.1 The period of study is 1982-83 to 1991-92. Hence, only those companies, of which data of 10 years upto 1991-92 wereavailable, are taken for study.