120575563
Unitarity, Factorization Theorem and Removal of Level Degeneracy in Dual Resonance Model
It is shown that, by using a unitarity relation for a many-body scattering amplitude, a Regge residue appearing in this amplitude is factorized. This theorem is a generalization of that in the t~o-body case. According to this theorem the famous level degeneracy in dual resonance models is expected to be removed, if unitarity is taken into account. We propose an eguation for removing the degeneracy, which has a close resemblance to that in the quantum mechanical perturbation theory with degenerate levels. shown that the number of resonant states with mass Sn, sn being defined by n =a (sn), is given by exp (aVn), (a= 2n/ -/6), for a large n. In other words, the N-point Veneziano formula has the extremely large number of degenerate levels. On the other hand, we can see in § 2 that, by using a unitarity relation for a many-body scattering amplitude, a Regge residue appearing in this amplitude is factorized, that is, the number of the states having mass sn is only one. This theorem is a generalization of that in the two-body case. 2 > The Veneziano amplitude violates unitarity in a way similar to that in which the Born approximation does in the usual Feynman-Dyson theory. It may be expected, therefore, that the level degeneracy in the dual resonance model will be removed if unitarity is taken into account. If, for the purpose of imposing unitarity, we sum up all the higher order diagrams in the framework of the operator formalism, the poles of the amplitude appear as poles of the "clothed propagator". Though the self-energy part of this clothed propagator is strongly divergent, we expect that some kind of renormalization procedure will be· possible. 3 > (We do not consider this procedure in this paper.) ln order to obtain the "observed" masses, that is, the zeros of the inverse propagator, we propose in § 3 a method very similar to that in the quantum mechanical perturbation theory with degenerate levels.
122739517
Electromagnetic Properties of the Kaluza-Klein String
On calcule le g-facteur magnetique pour la corde dans la theorie de Kaluza-Klein de l'espace-temps a 5 dimensions et on trouve une formule generale des moments magnetiques avec le g-facteur universel de g(J)=1 pour tous les etats de corde
122480764
Supergauge Algebra and Electromagnetic Interaction of the Dual Pion Model. II
We consider the electromagnetic problems of the dual pion model proposed by Neveu and Schwarz. The photon gauge substitution and the supergauge algebra appearing in this model are shown to determine the interaction uniquely. Consequently we find that (i) the electric charge has only two localization points which are at the ends of the string and that (ii) new gauge conditions hold, which are crucial for proving the no-ghost theorem in our t)leory. We also give a proof of the photon-gauge invariance of our system and find (iii) the conserved dual current. Unfortunately we are forced to stay in the on-shell world (i.e., massless photon).
121289650
Schwarzian Connections in the Krichever-Novikov Algebra
In the local operator approach to higher-genus Riemann surface we point out an importance of
9105602
Charged superstrings in background gauge fields and spectrum-generating algebra
The spectrum-generating algebra (SGA) for charged superstrings placed in constant background magnetic fields is constructed. Contrary to the neutral string this algebra is characteristic of including the cyclotron frequency. The Regge intercept and superconformal anomalies are calculated to be shifted by the cyclotron frequency and Dbrane parameters from the conventional values.
118270514
Covariant lagrangian formulation of interacting heterotic strings
A manifestly Lorentz-covarariant lagrangian formulation of the Neveu-Schwarz-Ramond heterotic string interacting with external fields is presented. The action is derived from the action for fully 26-dimensional semi-superstring by a simple ansatz. The internal space compactification occurs automatically from the action. The twist factors associated with the Kac-Moody algebra are involved in the theory without introducing them by hands.
120181374
The study of hypernuclei with heavy ion beams at GSI
The international HypHI collaboration is proposing a hypernuclear spectroscopy with stable heavy ion beams and rare isotope beams at GSI and FAIR in order to study neutron/proton rich hypernuclei and eventually to measure hypernuclear magnetic moments. As Phase 0 of the HypHI project, we propose the feasibility study of heavy ion induced hypernuclear spectroscopy by observing a mesonic weak decay from H Λ 3 , H Λ 4 and He Λ 5 with 6Li beams at 2 A GeV impinging on a 12C target. The physics motivations, experimental setup and the expected results will be discussed.