Quantization of a String of Spinning Material—Hamiltonian and Lagrangian Formulations | Zendy

Yōichi Iwasaki | Zendy; K. Kikkawa | Zendy

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Quantization of a String of Spinning Material—Hamiltonian and Lagrangian Formulations

Author(s) -

Yōichi Iwasaki,

K. Kikkawa

Publication year - 1973

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.8.440

Subject(s) - physics , covariant transformation , hamiltonian (control theory) , mathematical physics , lorentz transformation , lagrangian , quantization (signal processing) , spinning , hamiltonian formalism , formalism (music) , gauge theory , quantum mechanics , classical mechanics , mathematics , mathematical optimization , algorithm , mechanical engineering , art , musical , visual arts , engineering

The dynamics of a relativistic string made of spinning material is discussed in two different formulations. The first is a manifestly covariant formulation under a gauge transformation. The second is a Hamiltonian formalism which enables us to make the transition from the classical to the quantum description in a coherent way. The Lagrangian is also constructed. The results of our investigations are as follows: (1) The mass spectra here coincide with those of the Neveu-Schwarz model. (2) The model is ghost-free. (3) The Poincaré generators Mμν and Pμ are constructed. The quantization is shown to be consistent with Lorentz covariance if the dimension of space-time is 10 and the Regge intercept is ½

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