Zeta Function Method and the Evaluation of Fermion Currents

Dec, 1984
21 pages
Published in:
  • J.Math.Phys. 26 (1985) 2045
Report number:
  • Print-84-1001 (LA PLATA)

Citations per year

19851992199920062013012345
Abstract: (AIP)
Using the ζ‐function method, a prescription for the evaluation of fermion currents in the presence of background fields is given. The method preserves gauge invariance at each step of the computation and yields to a finite answer showing the relevant physical properties for arbitrary background configurations. Examples for n=2,3 dimensions are worked out, emphasizing the connection between preservation of gauge invariance and violation of other symmetries (chiral symmetry for n=2, parity for n=3).
  • FERMION: CURRENT
  • GAUGE FIELD THEORY: BACKGROUND FIELD
  • GAUGE FIELD THEORY: TWO-DIMENSIONAL
  • GAUGE FIELD THEORY: THREE-DIMENSIONAL
  • RENORMALIZATION: REGULARIZATION
  • SYMMETRY BREAKING: CHIRAL
  • FUNCTIONAL ANALYSIS