ar X iv : h ep - l at / 0 50 90 11 v 1 5 S ep 2 00 5 Lattice Gauge Fields Topology Uncovered by Quaternionic σ - model Embedding
نویسندگان
چکیده
We investigate SU(2) gauge fields topology using new approach, which exploits the well known connection between SU(2) gauge theory and quaternionic projective σ-models and allows to formulate the topological charge density entirely in terms of σ-model fields. The method is studied in details and for thermalized vacuum configurations is shown to be compatible with overlap-based definition. We confirm that the topological charge is distributed in localized four dimensional regions which, however, are not compatible with instantons. Topological density bulk distribution is investigated at different lattice spacings and is shown to possess some universal properties.
منابع مشابه
ar X iv : h ep - l at / 0 30 90 11 v 1 3 S ep 2 00 3 1 Chiral symmetry breaking and topology for all
We investigate spontaneous chiral symmetry breaking in SU(N) gauge theories at large N using overlap fermions. The exact zero modes and the low-lying modes of the Dirac operator provide the tools to gain insight into the interplay between chiral symmetry breaking and topology. We find that topology indeed drives chiral symmetry breaking at N = 3 as well as at large N. By comparing the results o...
متن کاملar X iv : h ep - l at / 0 11 00 90 v 1 1 5 O ct 2 00 1 Diquark condensation in dense SU ( 2 ) matter
We report on a lattice study of two-color QCD with adjoint staggered fermions at high density. We find that the model has no early onset and we report on results for diquark condensation, from simulations with and without a diquark source term.
متن کاملar X iv : h ep - l at / 0 11 20 12 v 1 1 0 D ec 2 00 1 1 I = 0 scalar channel SCALAR
Using lattice QCD with dynamical Wilson fermions, we study I = 0 and J P = 0 + channel which is constructed by 1 √ 2 (¯ uu + ¯ dd)|0, in order to search for the σ meson. Our preliminary result shows that the connected and disconnected diagrams contribute to the σ meson propagator in the same order.
متن کاملar X iv : h ep - l at / 0 41 10 36 v 1 2 5 N ov 2 00 4 Progress Towards finding Quark Masses and the QCD scale Λ from the Lattice
We discuss recent work trying to extract the renormalised quark masses and Λ, the QCD scale, from dynamical simulations in lattice gauge theory.
متن کاملar X iv : h ep - l at / 0 50 90 19 v 1 8 S ep 2 00 5 Po S ( L A T 2 0 0 5 ) 2 5 6 Large N
Some mysterious features of the strong interactions become easily understood if our usual QCD with N = 3 is ‘close to’ SU(∞) and if the latter theory is confining. N = ∞ theories are theoretically simpler; in particular there has been much progress in constructing weak-coupling duals in string theory. In this poster I will describe some of the things that recent lattice calculations tell us abo...
متن کامل