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The canonical quantization of a field theory for spin-$1/2$ massive bosons that satisfy the Klein-Gordon equation is presented. The breakdown of the usual spin-statistics connection is due to the redefinition of the dual field, rendering…

High Energy Physics - Theory · Physics 2025-12-09 A. de la C. Rangel-Pantoja , I. Díaz-Saldaña , Carlos A. Vaquera-Araujo

The quantization of a massive spin $1/2$ field that satisfies the Klein-Gordon equation is studied. The framework is consistent, provided it is formulated as a pseudo-hermitian quantum field theory by the redefinition of the field dual and…

High Energy Physics - Theory · Physics 2024-04-04 Rodolfo Ferro-Hernández , Julio Olmos , Eduardo Peinado , Carlos A. Vaquera-Araujo

We introduce a class of pseudo-bosonic Klein-Gordon fields in 1+1 dimensions and we discuss some of their properties. This work originates from non Hermitian quantum mechanics and deformed canonical commutation relations. We show that,…

Mathematical Physics · Physics 2026-01-23 Fabio Bagarello

In this work, the one-loop renormalization of a theory for fields transforming in the $(1,0)\oplus(0,1)$ representation of the Homogeneous Lorentz Group is studied. The model includes an arbitrary gyromagnetic factor and self-interactions…

High Energy Physics - Phenomenology · Physics 2020-07-15 Ailier Rivero-Acosta , Carlos A. Vaquera-Araujo

Spin-one matter fields are relevant both for the description of hadronic states and as potential extensions of the Standard Model. In this work we present a formalism for the description of massive spin-one fields transforming in the…

High Energy Physics - Phenomenology · Physics 2016-04-13 M. Napsuciale , S. Rodríguez , Rodolfo Ferro-Hernández , Selim Gómez-Ávila

A free quantum field theory with Lorentz symmetry is derived for spin-half symplectic fermions in 2+1 dimensions. In particular, we show that fermionic spin-half fields may be canonically quantized in a free theory with a Klein-Gordon…

High Energy Physics - Theory · Physics 2010-01-07 Dean J. Robinson , Eliot Kapit , Andre LeClair

We delve into the first principles of quantum field theory to prove that the so-called spin-1/2 ''bosons'' and the fermions with mass dimension 1, including ELKO, cannot represent physical particle states with spin $1/2$. Specifically, we…

High Energy Physics - Theory · Physics 2022-11-01 A. R. Aguirre , M. M. Chaichian , B. A. Couto e Silva , B. L. Sánchez-Vega

We consider the massive relativistic particle models on fourdimensional Minkowski space extended by $N$ commuting Weyl spinors for N=1 and N=2. The N=1 model is invariant under the most general form of bosonic counterpart of simple D=4…

High Energy Physics - Theory · Physics 2011-07-19 S. Fedoruk , J. Lukierski

Relativistic massive bosons with spin one are considered in several quantization schemes. In all of them the system is shown described by a non-Hermitian Hamiltonian and helicity operator. Constructively we show that in all of the…

High Energy Physics - Theory · Physics 2008-11-26 Jaroslav Smejkal , Vit Jakubsky , Miloslav Znojil

We introduce bosonic (p - 1)-form fields that couple to the spin connection of the Einstein-Cartan theory of gravity thus becoming a non-trivial source of space-time torsion. We analyze all the general features of both the matter and the…

High Energy Physics - Theory · Physics 2015-02-05 Jorge Alfaro , Simon Riquelme

We study the continuum limit of the spin-1 chain in the non-Abelian bosonization approach of Affleck and show that the Hamiltonian of integrable spin-1 chain yields the Lagrangian of supersymmetric sine-Gordon model in the zero lattice…

High Energy Physics - Theory · Physics 2008-02-03 Takeo Inami , Satoru Odake

A boson of spin-j>1 can be described in one of the possibilities within the Bargmann-Wigner framework by means of one sole differential equation of order twice the spin, which however is known to be inconsistent as it allows for non-local,…

High Energy Physics - Phenomenology · Physics 2016-09-12 V. M. Banda Guzman , M. Kirchbach

With appropriate modifications, the multi-spin Klein-Gordon (KG) equation of quantum field theory can be adapted to curved spacetime for spins 0,1,1/2. The associated particles in the microworld then move as a wave at all spacetime…

General Relativity and Quantum Cosmology · Physics 2021-11-24 Gary Nash

Atoms trapped in microcavities and interacting through the exchange of virtual photons can model an anisotropic Heisenberg spin-1/2 lattice. We do the quantum field theoretical study of such a system using the Abelian bosonization method…

Mesoscale and Nanoscale Physics · Physics 2009-10-29 Sujit Sarkar

Quantum field theory is mostly known as the most advanced and well-developed theory in physics, which combines quantum mechanics and special relativity consistently. In this work, we study the spinless quantum field theory, namely the…

General Physics · Physics 2013-03-08 Dong-Sheng Wang

A general method to construct free quantum fields for massive particles of arbitrary definite spin in a canonical Hamiltonian framework is presented. The main idea of the method is as follows: a multicomponent Klein-Gordon field that…

High Energy Physics - Theory · Physics 2015-01-21 Gabor Zsolt Toth

In a space of $d=15 $ Grassmann coordinates, two types of generators of the Lorentz transformations, one of spinorial and the other of vectorial character, both linear operators in Grassmann space, forming the group $ SO(1,14) $ which…

High Energy Physics - Theory · Physics 2008-02-03 Norma Mankoč Borštnik , Svjetlana Fajfer

The properties of the deformed bosonic oscillator, and the quantum groups ${\cal U}_q(SL(2))$ and $GL_q(2)$ in the limit as their deformation parameter $q$ goes to a root of unity are investigated and interpreted physically. These…

High Energy Physics - Theory · Physics 2007-05-23 R. S. Dunne

We propose a general method for the description of arbitrary single spin-j states transforming according to (j,0)+(0,j) carrier spaces of the Lorentz algebra in terms of Lorentz-tensors for bosons, and tensor-spinors for fermions, and by…

High Energy Physics - Phenomenology · Physics 2015-03-26 E. G. Delgado Acosta , V. M. Banda Guzman , M. Kirchbach

Quantum synchronization among many spins is an intriguing domain of research. In this paper, we explore the quantum synchronization of two finite chains of spin-1/2 particles, via a nonlinear interaction mediated by a a central intermediary…

Quantum Physics · Physics 2024-08-13 Jatin Ghildiyal , Manju , Shubhrangshu Dasgupta , Asoka Biswas
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