Quaternionic fermionic field
نویسندگان
چکیده
The second quantization of the quaternionic fermionic field is undertaken using real Hilbert space approach to quantum mechanics ([Formula: see text]QM). solution responds an open problem theory, and launches basis development interaction theory.
منابع مشابه
Global effects in quaternionic quantum field theory
We present some striking global consequences of a model quaternionic quantum field theory which is locally complex. We show how making the quaternionic structure a dynamical quantity naturally leads to the prediction of cosmic strings and non-baryonic hot dark matter candidates. Report Number: UM–P–96/88; RCHEP 96/11. Typeset using REVTEX
متن کاملFermionic Ghosts in Moyal String Field Theory
We complete the construction of the Moyal star formulation of bosonic open string field theory (MSFT) by providing a detailed study of the fermionic ghost sector. In particular, as in the case of the matter sector, (1) we construct a map from Witten's star product to the Moyal product, (2) we propose a regularization scheme which is consistent with the matter sector and (3) as a check of the fo...
متن کاملMean-field Evolution of Fermionic Systems
The mean field limit for systems of many fermions is naturally coupled with a semiclassical limit. This makes the analysis of the mean field regime much more involved, compared with bosonic systems. In this paper, we study the dynamics of initial data close to a Slater determinant, whose reduced one-particle density is an orthogonal projection ωN with the appropriate semiclassical structure. As...
متن کاملQuantum Algorithms for Fermionic Quantum Field Theories
Extending previous work on scalar field theories, we develop a quantum algorithm to compute relativistic scattering amplitudes in fermionic field theories, exemplified by the massive GrossNeveu model, a theory in two spacetime dimensions with quartic interactions. The algorithm introduces new techniques to meet the additional challenges posed by the characteristics of fermionic fields, and its ...
متن کاملFermionic field theory for trees and forests.
We prove a generalization of Kirchhoff's matrix-tree theorem in which a large class of combinatorial objects are represented by non-Gaussian Grassmann integrals. As a special case, we show that unrooted spanning forests, which arise as a q-->0 limit of the Potts model, can be represented by a Grassmann theory involving a Gaussian term and a particular bilocal four-fermion term. We show that thi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics
سال: 2022
ISSN: ['0217-751X', '1793-656X']
DOI: https://doi.org/10.1142/s0217751x22501998