Boson Mapping in Field Theory
نویسندگان
چکیده
A boson mapping of pair field operators is presented. The mapping preserves all hermiticity properties and the Poisson bracket relations between fields and momenta. The most practical application of the boson mapping is to field theories which exhibit bound states of pairs of fields. As a concrete application we consider, in the low energy limit, the Wick-Cutkosky model with equal mass for the charged fields.
منابع مشابه
Exact boson mapping of the nuclear pairing Hamiltonian
An exact boson mapping of the deformed mean-field plus equal strength pairing Hamiltonian is considered. In the mapping, fermion pair operators are mapped exactly to the corresponding bosons. The mapping occurs at the level of the Richardson–Gaudin equations. The image of the mapping results is a Bose–Hubbard model with level-dependent hopping. Although the resultant Bose–Hubbard Hamiltonian is...
متن کاملRandom Walk with a Boundary Line as a Free Massive Boson with a Defect Line
We show that the problem of Random Walk with boundary attractive potential may be mapped onto the free massive bosonic Quantum Field Theory with a line of defect. This mapping permits to recover the statistical properties of the Random Walks by using boundary S–matrix and Form Factor techniques. E-mail: [email protected]
متن کاملStructural aspects of the fermion-boson mapping in two-dimensional gauge and anomalous gauge theories with massive fermions
Using a synthesis of the functional integral and operator approaches we discuss the fermion-boson mapping and the role played by the Bose field algebra in the Hilbert space of two-dimensional gauge and anomalous gauge field theories with massive fermions. In the QED2 with quartic self-interaction among massive fermions, the use of an auxiliary vector field introduces a redundant Bose field alge...
متن کاملابررسانایی در کوپراتهای بهینه آلاییده: برنامه BZA به خوبی کار میکند و ابر تعادل چسب است
Resonating valence bond states in a doped Mott insulator was proposed to explain superconductivity in cuprates in January 1987 by Anderson. A challenging task then was proving existence of this unconventional mechanism and a wealth of possibilities, with a rigor acceptable in standard condensed matter physics, in a microscopic theory and develop suitable many body techniques. Shortly, a paper...
متن کاملYang-Mills Dynamics as Effective Nonlinear Field Theory of Composite Vector Bosons in Unified Spinorfield Models
Unified nonlinear spinorfield models are self-regularizing quantum field theories in which all observable (elementary and non-elementary) particles are assumed to be bound states of fermionic preon fields. Due to their large masses the preons themselves are confined and below the threshold of preon production the effective dynamics of the model is only concerned with bound state reactions. In p...
متن کامل