Some studies in noncommutative quantum field theories

The book presents some aspects of noncommutative quantum mechanics and field theory. It introduces the basic mathematical formalism of noncommutative quantum mechanics. In particular it reviews the procedure of Weyl quantization which is an useful technique for translating an ordinary field theory into a noncommutative one. Then as a preliminary exercise, it is demonstrated how noncommuting structures can be obtained in the first place by exploiting the reparametrization symmetry of particle models. Then it goes to investigate various other problems in these areas, namely, the construction of a one parameter family of noncommutative quantum theories dual to a commutative theory. The book should be useful to anyone interested in knowing the basic aspects of this fascinating field of noncommutative quantum physics.