Dynamical Symmetry Breaking on a Lattice
May, 197520 pages
Published in:
- Phys.Rev.D 12 (1975) 3251
Report number:
- PRINT-75-0420 (PRINCETON)
Citations per year
Abstract: (APS)
We propose to study dynamical symmetry breaking on a spatial lattice. Experiences with solid-state physics suggest that one should deal with an effective interaction between quarks and antiquarks rather than starting with the fundamental local Lagrangian. As an example, we study the (ψ¯ψ)2=(Σα=1Nψ¯αψα)2 interaction of massless fermions in two dimensions on a lattice in the approximation of a large number of degrees of freedom, N. We show explicitly that the model reduces to one-dimensional superconductivity by following the original methods of Bardeen, Cooper, and Schrieffer. The lattice coupling constant g02 is found to go as a for large lattice spacing a and as −1lna for small a, and to have a finite cut for imaginary values of a. The same result may be obtained by a path-integral approach. For N=1 the model reduces to an antiferromagnetic chain.- GAUGE FIELD THEORY
- QUARK: MASSLESS
- SYMMETRY BREAKING
- APPROXIMATION: LATTICE
- SUPERCONDUCTIVITY
- QUARK: POTENTIAL
- FIELD THEORETICAL MODEL
- FIELD THEORY: PATH INTEGRAL
References(25)
Figures(0)