Mon·Oct 29, 2001Monday·October 29, 2001

1. 01*

   $K\to \pi \pi$ matrix elements beyond the leading-order chiral expansion

   Ph. Boucaud🇫🇷 · V. Giménez🇪🇸 · C.-J.D. Lin🇬🇧 · V. Lubicz🇮🇹 · G. Martinelli🇮🇹 · M. Papinutto🇮🇹 · F. Rapuano🇮🇹 · C.T. Sachrajda (The SPQR Collaboration)🇬🇧

   We propose an approach for calculating $K\to \pi \pi$ decays to the next-to-leading order in chiral expansion. A detailed numerical study of this approach is being performed.

   hep-lathep-phNucl.Phys.B Proc.Suppl.(2002)·27 citations
2. 02*

   Relativistic bottomonium spectrum from anisotropic lattices

   X. Liao🇺🇸 · T. Manke🇺🇸

   We report on our results from a fully relativistic simulation of the quenched bottomonium spectrum. Using an anisotropic formulation of Lattice QCD, we were able to retain a very fine resolution into the temporal direction for a range of different lattice spacings. At fixed renormalized anisotropy we study the scaling properties of the spectrum and compare our results with non-relativistic calculations.

   hep-latNucl.Phys.B Proc.Suppl.(2002)·1 citation
3. 03*

   Two-dimensional gauge theories of the symmetric group S_n in the large-n limit

   A. D'Adda🇮🇹 · P.Provero🇮🇹

   We study the two-dimensional gauge theory of the symmetric group S_n describing the statistics of branched n-coverings of Riemann surfaces. We consider the theory defined on the disk and on the sphere in the large-n limit. A non trivial phase structure emerges, with various phases corresponding to different connectivity properties of the covering surface. We show that any gauge theory on a two-dimensional surface of genus zero is equivalent to a random walk on the gauge group manifold: in the case of S_n, one of the phase transitions we find can be interpreted as a cutoff phenomenon in the corresponding random walk. A connection with the theory of phase transitions in random graphs is also pointed out. Finally we discuss how our results may be related to the known phase transitions in Yang-Mills theory. We discover that a cutoff transition occurs also in two dimensional Yang-Mills theory on a sphere, in a large N limit where the coupling constant is scaled with N with an extra log N compared to the standard 't Hooft scaling.

   ↳ hep-thcond-mathep-latmath-ph+2Commun.Math.Phys.(2004)·13 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.