Journal article
Complex singularities of the critical potential in the large-N limit
Physical review. D, Particles and fields, Vol.67(2), 025006
08/25/2002
DOI: 10.1103/PhysRevD.67.025006
Abstract
Phys.Rev. D67 (2003) 025006 We show with two numerical examples that the conventional expansion in powers
of the field for the critical potential of 3-dimensional O(N) models in the
large-N limit, does not converge for values of phi^2 larger than some critical
value. This can be explained by the existence of conjugated branch points in
the complex phi^2 plane. Pade approximants [L+3/L] for the critical potential
apparently converge at large phi^2. This allows high-precision calculation of
the fixed point in a more suitable set of coordinates. We argue that the
singularities are generic and not an artifact of the large-N limit. We show
that ignoring these singularities may lead to inaccurate approximations.
Details
- Title: Subtitle
- Complex singularities of the critical potential in the large-N limit
- Creators
- Y Meurice
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Particles and fields, Vol.67(2), 025006
- DOI
- 10.1103/PhysRevD.67.025006
- ISSN
- 0556-2821
- eISSN
- 1089-4918
- Language
- English
- Date published
- 08/25/2002
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984200041202771
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