Quantum Einstein-Maxwell fields: A Unified viewpoint from the loop representation

Oct, 1992
6 pages
Published in:
  • Phys.Rev.D 47 (1993) R5214-R5218
e-Print:
Report number:
  • UU-HEP-92-9,
  • IFFI-92-11A

Citations per year

199319972001200520091320
Abstract:
We propose a naive unification of Electromagnetism and General Relativity based on enlarging the gauge group of Ashtekar's new variables. We construct the connection and loop representations and analyze the space of states. In the loop representation, the wavefunctions depend on two loops, each of them carrying information about both gravitation and electromagnetism. We find that the Chern-Simons form and the Jones Polynomial play a role in the model.
  • general relativity
  • electromagnetic field
  • Chern-Simons term
  • Hamiltonian formalism
  • phase space
  • loop space