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Main Objectives

development of new field theoretical
methods which can be used in situations where perturbative
methods fail.

ultimate goal: to bring higher standards of accuracy in
quantum field theory and to be able to make predictions that can be
compared with experiments which emphasize precision (g2, hadronic
width of the Z, etc...).

ongoing projects: modified perturbative methods, numerical RG
calculations
and largeN expansions (see next section).
Publications in 2002

Y. Meurice, Simple Method to Make Asymptotic Series of Feynman
Diagrams Converge, Phys. Rev. Lett. 88, 141601 (2002).

Y. Meurice and S. Niermann, From Nonlinear Scaling Fields to Critical
Amplitudes, J. Stat. Phys. 108, 213 (2002).

Y. Meurice, Arbitrarily Accurate Eigenvalues for Onedimensional
Polynomial Potentials, J. Phys. A 35, 8831 (2002).

Y. Meurice, Complex Singularities of the Critical Potential in the
LargeN limit, hepth/0208181, Phys. Rev. D (in press).

Y. Meurice, Large Field Cutoffs Make Perturbative Series Converge,
Nucl. Phys. Proc. Suppl. 106, 908 (2002).

L. Li and Y. Meurice, A Study of Large Field Configurations in MC
Calculations, heplat/0209085.
Visits, Conferences and Presentations in 2002

Fermilab for two weeks in June.

Argonne Nat. Lab. (talk)

Lattice 2002 (talk)
and the Beowulf Cluster Workshop which followed in
Boston (supported by the grant).

TH2002 in Paris (supported by the grant).
Internal Funding
As our computer needs start exceeding what can be achieved with a PC
or a workstation, I have tried to obtain funding from the University
to build commodity clusters.
Students Involved:

B. Oktay: supported until summer 2001 (Ph. D.);
postdoc at the University of
Illinois at Urbana Champaign; talk at the conference Lattice 2002;
two papers in progress (related to his Ph. D.).

L. Li: passed the qualifying exam
and the comprehensive exam; recipient of the GoertzNicholson
award in May 2001;
supported by the grant as a RA; his
expertise in computer
science is crucial for most of our ongoing projects.

Andreas Soemadi: finishing his dissertation on small denominator
problems (not supported by the
grant).

Brian Kessler: undergraduate student;
supported by a Undergraduate
Scholar Assistantship from the University; works on
analytical methods to calculate the coefficients of
modified perturbative series.
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Yannick Meurice
Tue Dec 10 22:51:23 CST 2002