Thu·Nov 8, 2001Thursday·November 8, 2001

1. 01*

   The supersymmetric Ward identities on the lattice

   F. Farchioni🇩🇪 · A. Feo🇩🇪 · T. Galla🇬🇧 · C. Gebert🇩🇪 · R. Kirchner🇩🇪 · I. Montvay🇩🇪 · G. Münster🇩🇪 · A. Vladikas🇮🇹

   Supersymmetric (SUSY) Ward identities are considered for the N=1 SU(2) SUSY Yang Mills theory discretized on the lattice with Wilson fermions (gluinos). They are used in order to compute non-perturbatively a subtracted gluino mass and the mixing coefficient of the SUSY current. The computations were performed at gauge coupling $\beta$=2.3 and hopping parameter $\kappa$=0.1925, 0.194, 0.1955 using the two-step multi-bosonic dynamical-fermion algorithm. Our results are consistent with a scenario where the Ward identities are satisfied up to O(a) effects. The vanishing of the gluino mass occurs at a value of the hopping parameter which is not fully consistent with the estimate based on the chiral phase transition. This suggests that, although SUSY restoration appears to occur close to the continuum limit of the lattice theory, the results are still affected by significant systematic effects.

   hep-lathep-thEPJC(2002)·77 citations
2. 02*

   Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy

   Pasquale Calabrese🇮🇹 · Alessio Celi🇮🇹

   We study the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy. We compute and analyze the fixed-dimension perturbative expansion of the renormalization-group functions to four loops. The relations of these models with N-color Ashkin-Teller models, discrete cubic models, planar model with fourth order anisotropy, and structural phase transition in adsorbed monolayers are discussed. Our results for N=2 (XY model with cubic anisotropy) are compatible with the existence of a line of fixed points joining the Ising and the O(2) fixed points. Along this line the exponent $\eta$ has the constant value 1/4, while the exponent $\nu$ runs in a continuous and monotonic way from 1 to $\infty$ (from Ising to O(2)). For N\geq 3 we find a cubic fixed point in the region $u,v\ge 0$, which is marginally stable or unstable according to the sign of the perturbation. For the physical relevant case of N=3 we find the exponents $\eta =0.17(8)$ and $\nu =1.3(3)$ at the cubic transition.

   ↳ cond-mat.stat-mechhep-latPRB(2002)·10 citations
3. 03*

   Dynamics of hot gauge theories

   Laurence G. Yaffe🇺🇸

   A brief overview is given of recent progress in understanding the dynamics of hot gauge theories.

   ↳ hep-thhep-lathep-phNucl.Phys.B Proc.Suppl.(2002)·6 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.