Relativistic Hamiltonian Model for Higgs Resonance

Relativistic non-Hamiltonian mechanics

Relativistic particle subjected to a general four-force is considered as a nonholonomic system. The nonholonomic constraint in fourdimensional space–time represents the relativistic invariance by the equation for four-velocity ulu + c = 0, where c is the speed of light in vacuum. In the general case, four-forces are non-potential, and the relativistic particle is a non-Hamiltonian system in fou...

Unitarity of the Standard Model at the higgs’ resonance

We compute a unitarity bound for higgs mass using one–loop corrected s–wave partial amplitude for ZLZL → ZLZL scattering. We use the equivalence theorem and show that the higgs mass has to be less than ≈ 600 GeV in order to save the (perturbative) unitarity in the higgs’ resonance region. We also discuss about the validity of perturbation expansion in the symmetry breaking sector. 1 internet: s...

Ultra-Relativistic Hamiltonian with Various Singular Potentials

It is shown from a simple scaling invariance that the ultra-relativistic Hamiltonian (μ=0) does not have bound states when the potential is Coulombic. This supplements the application of the relativistic virial theorem derived by Lucha and Schöberl [1,2] which shows that bound states do not exist for potentials more singular than the Coulomb potential. PACS numbers:03.65.Ge, 12.39.Ki, 12.39.Pn ...

Hamiltonian approach to relativistic star models

An ADM-like Hamiltonian approach is proposed for static spherically symmetric relativistic star configurations. For a given equation of state the entire information about the model can be encoded in a certain 2-dimensional minisuperspace geometry. We derive exact solutions which arise from symmetries corresponding to linear and quadratic geodesic invariants in minisuperspace by exploiting the r...

Asymptotic Completeness for a Renormalized Non-relativistic Hamiltonian in Quantum Field Theory: the Nelson Model