Particles, Astrophysics, and Nuclear Physics Seminar

An Overview of Mathematical and Theoretical Physics Through a Quartet of Problems

Professor Jamal N. Islam
Princeton Institute For Advanced Study, and
The Research Center for Mathematical and Physical Sciences
University of Chittagong
Chittagong, Bangladesh

The “quartet” refers to four of the problems I have been engaged in, the longest for about four decades. This problem is concerned with the attempt to find a general solution of Einstein’s vacuum field equations. The second problem involves analytic properties in axiomatic quantum field theory. This is an attempt to find the maximum region of analyticity of certain functions of several complex variables that arise in connection with n-point or Wightman functions. The third problem is concerned with a solution of the Schrodinger functional equation for Yang-Mills theory, that has implications for the confinement problem for quarks and gluons. The fourth problem is to find the thermodynamic limit of the partition function for the square-lattice Ising Model with magnetic field. Through consideration and discussion of these problems, it is hoped to elucidate the structure of mathematical and theoretical physics.

Monday, October 2, 2006
2:00 pm
Gant Science Complex
Physics Department
Room P121

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