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These are notes on the square root of $4\times4$ identity matrix and associated quantum fields of spin one half. The method is illustrated by constructing a new mass dimension one bosonic field. The locality constraint for the field leads…

综合物理 · 物理学 2019-08-27 Dharam Vir Ahluwalia

By exploiting the freedom in defining the dual of spinors, we report an unexpected theoretical discovery of a quantum field theory of spin-half bosons. It fulfils Dirac's 1969-70 observation that "there must be boson variables connected…

高能物理 - 理论 · 物理学 2023-07-07 Dharam Vir Ahluwalia , Cheng-Yang Lee

In this paper, we define a new spinor classification that encompasses the recently proposed spin-half bosons with mass dimension three-half. As it will be shown, these particles, which are governed by a first-order equation and consequently…

高能物理 - 理论 · 物理学 2021-05-18 R. J. Bueno Rogerio , A. R. Aguirre

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…

高能物理 - 理论 · 物理学 2022-11-01 A. R. Aguirre , M. M. Chaichian , B. A. Couto e Silva , B. L. Sánchez-Vega

Since the 1928 seminal work of Dirac, and its subsequent development by Weinberg, a view is held that there is a unique Fermi field of spin one-half. It is endowed with mass dimension three-half. Combined, these characteristics profoundly…

高能物理 - 理论 · 物理学 2016-05-10 Dharam Vir Ahluwalia

About a decade ago the present author in collaboration with Daniel Grumiller presented an `unexpected theoretical discovery' of spin one-half fermions with mass dimension one [JCAP 2005, PRD 2005]. In the decade that followed a significant…

高能物理 - 理论 · 物理学 2017-09-11 Dharam Vir Ahluwalia

We consider the analog in one spatial dimension of the Bose-Fermi transmutation for planar systems. A quantum mechanical system of a spin 1/2 particle coupled to an abelian gauge field, which is classically invariant under gauge…

高能物理 - 理论 · 物理学 2009-10-30 J. Gamboa , V. O. Rivelles , J. Zanelli

The minimal (${\cal N}=1$) superparticle in three spacetime dimensions (3D) is quantized. For non-zero mass it describes a spin-1/4 semion supermultiplet of "relativistic helicities" (-1/4, 1/4). The addition of a parity-violating…

高能物理 - 理论 · 物理学 2015-03-17 Luca Mezincescu , Paul K. Townsend

We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding…

高能物理 - 理论 · 物理学 2009-10-28 E. Fradkin , F. A. Schaposnik

Witten has argued that in $2+1$ dimensions local supersymmetry can ensure the vanishing of the cosmological constant without requiring the equality of bose and fermi masses. We find that this mechanism is implemented in a novel fashion in…

高能物理 - 理论 · 物理学 2009-09-17 Katrin Becker , Melanie Becker , Andrew Strominger

Noncommutative gravity in three dimensions with vanishing cosmological constant is examined. We find a solution which describes a spacetime in the presence of a torsional source. We estimate the phase shift for each partial wave of a scalar…

高能物理 - 理论 · 物理学 2010-11-11 Kiyoshi Shiraishi , Kenji Sakamoto , Nahomi Kan

We construct a Hamiltonian for a quantum-mechanical model of nonrelativistic particles in three dimensions interacting via the creation and annihilation of a second type of nonrelativistic particles, which are bosons. The interaction…

数学物理 · 物理学 2020-01-08 Jonas Lampart

In relativistic quantum field theory particles of half-integer spin must obey Fermi-Dirac statistics. Their quantum operators must anticommute at spacelike separation in contrast to commuting physical observables. We show that Fermi-Dirac…

高能物理 - 理论 · 物理学 2018-08-21 Adam Bednorz

Three quantum particles with on-site repulsion and nearest-neighbour attraction on a one-dimensional lattice are considered. The three-body Schroedinger equation is reduced to a set of single-variable integral equations. Energies of…

强关联电子 · 物理学 2015-06-16 Pavel E. Kornilovitch

The similarity of the commutation relations for bosons and quasibosons (fermion pairs) suggests the possibility that all integral spin particles presently considered to be bosons could be quasibosons. The boson commutation relations for…

高能物理 - 理论 · 物理学 2008-11-26 W. A. Perkins

We have considered the possibility of formation a massless particles with spin 1 in the region of negative energies, within the framework of the Weyl type equation for neutrinos. It is proved that, unlike quantum electrodynamics, the…

综合物理 · 物理学 2019-03-27 Ashot Gevorkyan

Recent experimental observations are shown to be quantitatively consistent with an extended concept of space-time having a discrete extra dimension of two points at the distance of 11.8 fm together with a nontrivial metric structure. In…

高能物理 - 唯象学 · 物理学 2019-07-11 Nguyen Ai Viet

An action with unconventional supersymmetry was introduced in an earlier paper. Here it is shown that this action leads to standard physics for fermions and gauge bosons at low energy, but to testable extensions of standard physics for…

高能物理 - 理论 · 物理学 2007-05-23 Roland E. Allen

We consider the fermionic bound states associated with a soliton-antisoliton pair in 1+1 dimensions which have zero energy when the solitons are infinitely far apart. We calculate the energies of these states when the solitons are separated…

高能物理 - 理论 · 物理学 2007-05-23 B. Altschul

In this work we presented a number of explicit examples for the cubic vertices describing an interaction of massless spin-5/2 field with massive boson and fermion including all hypertransformations necessary for the vertices to be gauge…

高能物理 - 理论 · 物理学 2023-10-27 Yu. M. Zinoviev
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