Nontrivial Continuum Limit of a in Four-dimensions Model With Negative Coupling Constant
Feb, 198531 pages
Published in:
- Nucl.Phys.B 257 (1985) 474-504
- Published: 1985
Report number:
- HUTMP-84-172
View in:
Citations per year
Abstract: (Elsevier)
We present a rigorous, non-perturbative construction of a non-trivial euclidean π 4 4 field theory with negative coupling constant, as a scaling limit of stable lattice theories. In the present paper the usual propagator is replaced by a hierarchical one for pedagogical reasons. The resulting model has similar renormalization problems as the standard π 4 4 theory. Our non-perturbative construction has the standard renormalized perturbation expansion as an asymptotic expansion, and is asymptotically free. The analysis can be extended to the conventional model with the use of a rigorous block-spin formulation to yield a non-trivial continuum theory with similar properties, but possibly violating reflection positivity in a non-perturbative way.- field theory: scalar
- FIELD THEORY: EUCLIDEAN
- NONPERTURBATIVE
- LATTICE FIELD THEORY: CONTINUUM LIMIT
- COUPLING CONSTANT
- RENORMALIZATION: REGULARIZATION
- RENORMALIZATION GROUP
- TRANSFORMATION: BLOCK SPIN
- BLOCK SPIN: TRANSFORMATION
- SCALING
References(14)
Figures(0)