Soft Pions in Large Boxes

Sep 29, 1987
17 pages
Published in:
  • Nucl.Phys.B 300 (1988) 180-196
  • Published: 1988
Report number:
  • RU-42-87

Citations per year

1988199720062015202402468
Abstract: (Elsevier)
In this paper we deal with the linear O( N ) σ -model in four dimensions in the broken phase. It is argued that the zero-momentum two-point function in a finite box obeys a soft-pion finite-size theorem which holds if the boundary conditions are periodic. The theorem's validity depends only on the structure of the would-be massless sector of the model.
  • FIELD THEORETICAL MODEL: SIGMA
  • LINEAR
  • SYMMETRY: O(N)
  • TWO-POINT FUNCTION
  • EXPANSION 1/N
  • LATTICE FIELD THEORY
  • CURRENT ALGEBRA: EFFECTIVE LAGRANGIANS