Nonperturbative flow equations from running expectation values.

Autor: Scholtz FG; Institute of Theoretical Physics, University of Stellenbosch, Stellenbosch 7600, South Africa., Bartlett BH, Geyer HB
Jazyk: angličtina
Zdroj: Physical review letters [Phys Rev Lett] 2003 Aug 22; Vol. 91 (8), pp. 080602. Date of Electronic Publication: 2003 Aug 21.
DOI: 10.1103/PhysRevLett.91.080602
Abstrakt: We show that Wegner's flow equations, as recently discussed in the Lipkin model, can be solved self-consistently. This leads to a nonlinear differential equation which fully determines the order parameter as a function of the dimensionless coupling constant, even across the phase transition. Since we consider an expansion in the fluctuations, rather than the conventional expansion in the coupling constant, convergence to the exact results is found in both phases when taking the thermodynamic limit.
Databáze: MEDLINE