Zero-mode Contribution Research Articles

Rotational invariance in light-cone quantization.

In the study of the decay of a heavy scalar particle at rest in the Yukawa model at the one- and two-loop levels, it is shown explicitly that naive light-cone quantization leads to a violation of rotational invariance. Noncovariant counterterms are constructed in detail to restore Lorentz covariance. An analysis of surface and zero-mode contributions clarifies the origin of the problem.

πN scattering in the skyrme model: The Born terms

We derive the Born terms for πN scattering in the Skyrme model. We introduce an effective model which is equivalent to the Skyrme model at low energy and which contains an explicit O(N c 1 2 ) Yukawa coupling. This equivalence suggests that the Born terms in the Skyrme model are those of the Δ-isobar model. We show in the static limit that this is realised by adding the O(1) background scattering (zero-mode contribution) and the O(1/ N c ) time derivative scattering. Recoil corrections are generated by including collective coordinates for the translational degrees of freedom.

Zero-Mode Contribution to Free Energy of Classical Solution at Finite Temperature

Zero-Mode Contribution to Free Energy of Classical Solution at Finite Temperature

Factorization in a multiperipheral configuration: Can one construct dual amplitudes on more general field theory vertices and propagators?

Observing a simple connection between the zero-mode contribution in the conventionalN-point dual Born term for unit intercept (Virasoro case) and theλπ 3 field theory. One wishes to study the possibility of constructing a new class of dual amplitudes based on more general field theory couplings and propagators. The resulting amplitudes would have a number of particles suppressed on the leading trajectory, the spin-J ground state in a given channel being built on a two-dimensional operator formalism («rotational» modes) that treats the integer and half-integer angular momenta in a unified way. The main part of this paper is devoted to a detailed study of factorization on a multiperipheral configuration in terms of «translational» and «rotational» modes. As a preliminary application in the context of dual models of the formalism developed we study the consequences of a simple factorization ansatz for the vertex into a pure «spin» part and a harmonic-oscillator part.