Canonical Realization of Poincaré Algebra: from Field Theory to Direct-Interaction Theory
نویسنده
چکیده
The canonical realization of the Poincaré group for the systems of the pointlike particles coupled with the electromagnetic, massive vector and scalar fields is constructed. The reduction of the canonical field degrees of freedom is done in the linear approximation in the coupling constant. The Poincaré generators in terms of particle variables are found. The relation between covariant and physical particle variables in the Hamiltonian description is written. The approximation up to c−2 is examined.
منابع مشابه
Canonical Realization of the Poincaré Algebra for a Relativistic System of Charged Particles Plus Electromagnetic Field
The procedure of reducing of canonical field degrees of freedom for a system of charged particles plus electromagnetic field in the constraint Hamiltonian formalism is developed up to the first order in the coupling constant expansion. The canonical realization of the Poincaré algebra in the terms of physical variables is found. The relation between covariant and physical particle variables in ...
متن کاملParticle Physics as Representations of the Poincaré Algebra
Eugene Wigner showed already in 1939 that the elementary particles are related to the irreducible representations of the Poincaré algebra. In the light-cone frame formulation of quantum field theory one can extend these representations to depend also on a coupling constant. The representations then become non-linear and contain the interaction terms which are shown to have strong uniqueness. Ex...
متن کاملRings of Singularities
This paper is a slightly revised version of an introduction into singularity theory corresponding to a series of lectures given at the ``Advanced School and Conference on homological and geometrical methods in representation theory'' at the International Centre for Theoretical Physics (ICTP), Miramare - Trieste, Italy, 11-29 January 2010. We show how to associate to a triple of posit...
متن کاملOn the Correspondence between Poincaré Symmetry of Commutative QFT and Twisted Poincaré Symmetry of Noncommutative QFT
The space-time symmetry of noncommutative quantum field theories with a deformed quantization is described by the twisted Poincaré algebra, while that of standard commutative quantum field theories is described by the Poincaré algebra. Based on the equivalence of the deformed theory with a commutative field theory, the correspondence between the twisted Poincaré symmetry of the deformed theory ...
متن کاملRealization theory for rational systems: Minimal rational realizations
The study of realizations of response maps is a topic of control and system theory. Realization theory is used in system identification and control synthesis. A minimal rational realization of a given response map p is a rational realization of p such that the dimension of its state space equals the transcendence degree of the observation field of p. We relate minimality of rational realization...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003