Classical adiabatic holonomy in field theory Academic Article uri icon

abstract

  • In this paper we develop the notion of adiabatic holonomy in {ital classical} fermionic field theory and apply it to chiral gauge theory. In chiral gauge theory the {ital classical} adiabatic holonomy leads to a deformation of the Poisson algebra of translation generators in the space of gauge fields and to an additional term in the Poisson brackets among gauge-transformation generators. We study all this in detail in a (1+1)-dimensional model.

publication date

  • January 1, 1990