Anomaly in Symplectic Integrator
نویسنده
چکیده
Effective Liouville operators of the firstand the second-order symplectic integrators are obtained for the one-dimensional harmonic-oscillator system. The operators are defined only when the time step is less than two. Absolute values of the coordinate and the momentum monotonically increase for large time steps. PACS numbers: 05.10.-a, 02.10.Hh
منابع مشابه
More anomaly-free models of six-dimensional gauged supergravity
We construct a huge number of anomaly-free models of six-dimensional N = (1, 0) gauged supergravity. The gauge groups are products of U(1) and SU(2), and every hyperino is charged under some of the gauge groups. It is also found that the potential may have flat directions when the R-symmetry is diagonally gauged together with another gauge group. In an appendix, we determine the contribution to...
متن کاملg-SYMPLECTIC ORBITS AND A SOLUTION OF THE BRST CONSISTENCY CONDITION
For any Lie algebra g we introduce the notion of gsymplectic structures and show that every orbit of a principal G-bundle carries a natural g-symplectic form and an associated momentum map induced by the Maurer–Cartan form on G. We apply this to the BRST bicomplex and show that the associated momentum map is a solution of the Wess–Zumino consistency condition for the anomaly.
متن کاملN=2 Symplectic Reparametrizations in a Chiral Background † N=2 Symplectic Reparametrizations in a Chiral Background
We study the symplectic reparametrizations that are possible for theories of N = 2 supersymmetric vector multiplets in the presence of a chiral background and discuss some of their consequences. One of them concerns an anomaly arising from a conflict between symplectic covariance and holomorphy. ABSTRACT We study the symplectic reparametrizations that are possible for theories of N = 2 supersym...
متن کاملKonishi Anomalies and Curves without Adjoints
Generalized Konishi anomaly relations in the chiral ring of N=1 supersymmetric gauge theories with unitary gauge group and chiral matter field in two-index tensor representations are derived. Contrary to previous investigations of related models we do not include matter multiplets in the adjoint representation. The corresponding curves turn out to be hyperelliptic. We also point out equivalence...
متن کاملar X iv : h ep - t h / 97 07 11 2 v 1 1 1 Ju l 1 99 7 On the Point - Splitting Method of the Commutator Anomaly of Gauss Law Operators
We analyze the generalized point-splitting method and Jo's result for the commutator anomaly. We find that certain classes of general regularization kernels satisfying integral conditions provide a unique result, which, however, differs from Faddeev's cohomological result.
متن کامل