Ml. Ge et al., CANONICAL REDUCTION OF SELF-DUAL YANG-MILLS THEORY TO SINE-GORDON ANDLIOUVILLE THEORIES, Physics letters. Section B, 335(2), 1994, pp. 136-142
We present the (constrained) canonical reduction of four dimensional s
elf-dual Yang-Mills theory to two dimensional sine-Gordon and Liouvill
e field theories: The Dirac brackets in the latter two theories are de
rived from the reduction of the Poisson brackets in the former, at the
classical level.