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          Institute: MPI für Physik     Collection: MPI für Physik     Display Documents



ID: 545071.0, MPI für Physik / MPI für Physik
Some new results on an old controversy: is perturbation theory the
correct asymptotic expansion in nonabelian models?
Authors:Aguado, M.; Seiler, E.
Date of Publication (YYYY-MM-DD):2004
Title of Journal:Physical Review D
Journal Abbrev.:Phys.Rev.D
Issue / Number:70
Start Page:107706
Audience:Not Specified
Intended Educational Use:No
Abstract / Description:Several years ago it was found that perturbation theory for
two-dimensional $O(N)$ models depends on boundary conditions even after
the infinite volume limit has been taken termwise, provided
$N>2$. There ensued a discussion whether the boundary conditions
introduced to show this phenomenon were somehow anomalous and there was a
class of `reasonable' boundary conditions not suffering from this
ambiguity. Here we present the results of some computations that may be
interpreted as giving some support for the correctness of perturbation
theory with conventional boundary conditions; however the fundamental
underlying question of the correctness of perturbation theory in these
models and in particular the perturbative $\beta$ function remain
challenging problems of mathematical physics.
Classification / Thesaurus:Field Theory
Comment of the Author/Creator:4 pages, 3 figures
External Publication Status:published
Document Type:Article
Communicated by:N.N.
Affiliations:MPI für Physik
Identifiers:LOCALID:MPP-2004-75
URL:http://www.slac.stanford.edu/spires/find/hep/www?r...
URL:http://arXiv.org/abs/hep-lat/0406041
URL:http://publications.mppmu.mpg.de/?action=search&mp...
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