Comparing Pure Yang-mills Su(2) and Su(3) Propagators
نویسندگان
چکیده
The infrared behavior of gluon and ghost propagators in Yang-Mills gauge theories is of central importance for the understanding of confinement in QCD. While analytic studies using Schwinger-Dyson equations predict the same infrared exponents for the SU(2) and SU(3) gauge groups, lattice simulations usually assume that the two cases are different, although their qualitative infrared features may be the same. We carry out a comparative study of lattice (Landau) propagators for both gauge groups. Our data were especially produced with equivalent lattice parameters to allow a careful comparison of the two cases.
منابع مشابه
Colored flux tube in the Euclidean spacetime
The flux tube solution in the Euclidean spacetime with the color longitudinal electric field in the SU(2) Yang Mills Higgs theory with broken gauge symmetry is found. Some arguments is given that this flux tube is a pure quantum object in the SU(3) quantum theory reduced to the SU(2) Yang Mills Higgs theory.
متن کاملExplicit Non-Abelian Monopoles in SU(N) Pure Yang-Mills Theory
It is well known that there are no static non-Abelian monopole solutions in pure Yang-Mills theory on Minkowski space R. We show that such solutions exist in SU(N) gauge theory on the spaces R2×S2 and R×S1×S2 with Minkowski signature (−+++). In the temporal gauge they are solutions of pure Yang-Mills theory on T × S, where T is R or S. Namely, imposing SO(3)-invariance and some reality conditio...
متن کاملar X iv : h ep - p h / 03 06 20 2 v 3 30 N ov 2 00 4 Effective ’ t Hooft - Polyakov monopoles from pure SU ( 3 ) gauge theory
The well known topological monopoles originally investigated by ’t Hooft and Polyakov are known to arise in classical Yang-Mills-Higgs theory. With a pure gauge theory it is known that the classical Yang-Mills field equation do not have such finite energy configurations. Here we argue that such configurations may arise in a semi-quantized Yang-Mills theory, where the original gauge group, SU(3)...
متن کاملar X iv : h ep - l at / 0 40 80 22 v 1 1 4 A ug 2 00 4 Temporal correlator in YM 23 and reflection - positivity violation
We consider numerical data for the lattice Landau gluon propagator obtained at very large lattice volumes in three-dimensional pure SU(2) Yang-Mills gauge theory (YM 2 3). We find that the temporal correlator C(t) shows an oscillatory pattern and is negative for several values of t. This is an explicit violation of reflection positivity and can be related to gluon confinement. We also obtain a ...
متن کاملSupersymmetric Yang-Mills on the lattice at strong coupling
We study N = 1 supersymmetric SU(Nc) Yang-Mills theory on the lattice at strong coupling and largeNc. Our method is based on the hopping parameter expansion in terms of random walks, resummed for any value of the Wilson parameter r in the small hopping parameter region. Results are given for the mesonic (2-gluino) and fermionic (3-gluino) propagators and spectrum. PACS numbers: 11.15.Ha, 10.60....
متن کامل