Partial dynamical symmetry is shown to be relevant for describing the anharmonicity of excited bands in 196Pt while retaining solvability and good SO(6) symmetry for the ground band.

A model of the equations of two dimensional problems in a half space, whose surface in free of micropolar thermoelastic medium possesses cubic symmetry as a result of a Mode-I Crack is studied. There acts an initial magnetic field parallel to the plane boundary of the half- space. The crack is subjected to prescribed temperature and stress distribution. The formulation in the context of the Lor...

Important recent discoveries suggest that Ginsparg-Wilson-Lüscher (GWL) symmetry has analogous dynamical consequences for the theory on the lattice as chiral symmetry does in the continuum. While it is well known that inherent property of lattice chiral symmetry is fermion doubling, we show here that inherent property of GWL symmetry is that the symmetry transformation couples fermionic degrees...

The dynamics of the large-scale structure of the universe enjoys at all scales, even in the highly non-linear regime, a Lifshitz symmetry during the matter-dominated period. In this paper we propose a general class of six-dimensional spacetimes which could be a gravity dual to the four-dimensional large-scale structure of the universe. In this set-up, the Lifshitz symmetry manifests itself as a...

We study dynamical tunneling in a near-integrable Hamiltonian with three degrees of freedom. Despite the absence of discrete symmetry we show that the mixing of near-degenerate quantum states is due to dynamical tunneling mediated by the nonlinear resonances in the classical phase space. Identifying the key resonances allows us to selectively suppress the dynamical tunneling by adding weak coun...

The Kepler-type dynamical symmetries of the Kaluza-Klein monopole are reviewed. At the classical level, the conservation of the angular momentum and of a Runge-Lenz vector imply that the trajectories are conic sections. The o(4) algebra allows us to calculate the bound-state spectrum, and the o(3, 1) algebra yields the scattering matrix. The symmetry algebra extends to o(4, 2). 1 SUMMARY OF KAL...

We explore the possibility of unification of gauge couplings near the Planck scale in models of extended technicolor. We observe that models of the form G×SU(3)c×SU(2)L×U(1)Y cannot be realized, due to the presence of massless neutral Goldstone bosons (axions) and light charged pseudo-Goldstone bosons; thus, unification of the known forces near the Planck scale cannot be achieved. The next simp...

One -loop fermion determinant is discussed for the case in which dynamical chiral symmetry breaking caused by momentum dependent fermion self energy Σ(p2) take place. The obtained series generalizes the heat kernel expansion for hard fermion mass. PACS number(s): 03.65.Db, 11.10Ef, 11.30.Rd, 12.39.Fe In quantum field theory, 1-loop quantum correction of fermions is from fermion determinant. It ...

Dynamical chiral symmetry breaking is a nonperturbative phenomenon that may be studied using QCD’s gap equation. Model-independent results can be obtained with a nonperturbative and symmetry preserving truncation. The gap equation yields the massive dressed-quark propagator, which has a spectral representation when considered as a function of the current-quark mass. This enables an explication ...

We examine one- and two-dimensional models of linearly coupled lattices of the discrete-nonlinear-Schrödinger type. Analyzing ground states of the system with equal powers (norms) in the two components, we find a symmetry-breaking phenomenon beyond a critical value of the total power. Asymmetric states, with unequal powers in their components, emerge through a subcritical pitchfork bifurcation,...