A simple semiclassical H\'enon-Heiles model is constructed based on Dirac's time-dependent variational principle. We obtain an effective Hamiltonian using a Hatree-type two-body trial wavefunction in the Jackiw-Kerman form. Numerical results show that quantum effects can fact induce chaos non-chaotic regions of classical model.

It is shown that only the infinite angular momentum quantum states contribute to the incident wave in Aharonov-Bohm (AB) scattering. This result is clearly shown by recalculating the AB calculation with arbitrary decomposition of summation over the angular momentum quantum numbers in wave function. It is motivated from the fact that the pole contribution in the integral representation used by J...

We solve the problem of a quantization of the lightcone QCD. We find that boundary gauge fields are crucial for a consistent and complete quantization. By applying the symplectic Faddeev-Jackiw method, we very carefully remove unphysical degrees of freedom and obtain the true phase space and the complete Hamiltonian. The result is important for the high energy QCD evolution and for a further ex...

The construction and the symmetries of Chern-Simons vortices in harmonic and uniform magnetic force backgrounds found by Ezawa, Hotta and Iwazaki, and by Jackiw and Pi are generalized using the non-relativistic Kaluza-Klein-type framework presented in our previous paper. All Schrödinger-symmetric backgrounds are determined. 1. Introduction The construction of static, non-relativistic Chern-Simo...

We study BPS vortices in the mass-deformed non-relativistic N = 6 U(N)k × U(N)−k Chern-Simons-matter theory. We focus on the massive deformation that preserves the maximal N = 6 supersymmetry, and consider a non-relativistic limit that carry 14 supercharges. In this non-relativistic field theory we find Jackiw-Pi type exact vortex solutions combined with S3 fuzzy sphere geometry. We analyse the...

We consider fermions in the field of a static Abelian monopole in the Euclidean space time, having in mind applications to the lattice. There exists an infinite number of solutions describing the S-wave fermions and labeled by an imaginary frequency iω. The well known zero mode of Jackiw and Rebbi corresponds to ω = 0. The existence of such modes is a manifestation of instability of the vacuum ...

Recently three dimensional Einstein gravity with AdS geometry has been studied, and pointed out to be described with Chern-Simons theory by Grumiller and Jackiw. While, non-commutative Chern-Simons theory is known to be equivalent to Quantum Hall Effect, through Area Preserving Diffeomorphism by Susskind and others. Conbining these, three dimensional gravity is studied in this paper in the cont...

We study the 2D Vector Meson model introduced by Thirring and Wess, that is to say the Schwinger model with massive photon and massless fermion. We prove, with a renormalization group approach, that the vector and axial Ward identities are broken by the Adler-Bell-Jackiw anomaly; and we rigorously establish three widely believed consequences: a) the interacting meson-meson correlation equals a ...