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In a network of spin 1/2 particles, controlled through an external electro-magnetic field, the gyromagnetic ratio of each spin is a parameter that characterizes the interaction of the spin with the external control field. Multipartite…

Quantum Physics · Physics 2020-06-23 Francesca Albertini , Domenico D'Alessandro

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…

High Energy Physics - Theory · Physics 2007-05-23 Roland E. Allen

In the context of gauge/gravity dualities, we calculate the scalar and tensor mass spectrum of the boundary theory defined by a special 8-scalar sigma-model in five dimensions, the background solutions of which include the 1-parameter…

High Energy Physics - Theory · Physics 2017-06-21 Daniel Elander , Maurizio Piai

Using the complete orthonormal sets of radial parts of nonrelativitistic exponential type orbitals (2,1, 0, 1, 2, ...) and spinor type tensor spherical harmonics of rank s the new formulae for the 2(2s+1)-component relativistic spinors…

Mathematical Physics · Physics 2015-03-13 I. I. Guseinov

An effective theory is proposed, combining the standard gauge group $SU(3)_{C}\otimes SU(2)_{L}\otimes U(1)_{Y}$ with a horizontal discrete symmetry. By assigning appropriate charges under this discrete symmetry to the various fermion…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. S. Shaw , R. R. Volkas

A familiar anomaly affects SU(2) gauge theory in four dimensions: a theory with an odd number of fermion multiplets in the spin 1/2 representation of the gauge group, and more generally in representations of spin 2r+1/2, is inconsistent. We…

High Energy Physics - Theory · Physics 2019-05-09 Juven Wang , Xiao-Gang Wen , Edward Witten

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…

High Energy Physics - Theory · Physics 2023-07-07 Dharam Vir Ahluwalia , Cheng-Yang Lee

The Dirac equation for massive free electrically neutral spin 1/2 particles in a gravitation field is considered. The secondary quantization procedure is applied to it and the Hilbert space of multiparticle quantum states is constructed.

Differential Geometry · Mathematics 2007-05-23 Ruslan Sharipov

Unification ideas motivate the formulation of field equations on an extended spin space. Demanding that the Poincare symmetry be maintained, one derives scalar symmetries that are associated with flavor and gauge groups. Boson and fermion…

High Energy Physics - Theory · Physics 2009-11-07 J. Besprosvany

We derive the analogues of the Dirac and Pauli equations from a spatially fourth-order Klein--Gordon equation with a universal length scale. Starting from a singularly perturbed variant of Maxwell's equations, we deduce a 32-dimensional…

Quantum Physics · Physics 2025-07-22 Tiemo Pedergnana , Florian Kogelbauer

The lack of evidence for new physics beyond the standard model at the LHC points to a paucity of new particles near the weak scale. This suggests that the weak scale is tuned and that supersymmetry, if present at all, is realized at higher…

High Energy Physics - Phenomenology · Physics 2015-06-11 Asimina Arvanitaki , Nathaniel Craig , Savas Dimopoulos , Giovanni Villadoro

We will derive both quaternion and octonion algebras as the Clebsch-Gordan algebras based upon the su(2) Lie algebra by considering angular momentum spaces of spin one and three. If we consider both spin 1 and 1/2 states, then the same…

Mathematical Physics · Physics 2016-11-03 Susumu Okubo

As a toy model for the microscopic description of matter in de Sitter space, we consider a Hamiltonian acting on the spin-j representation of SU(2). This is a model with a finite-dimensional Hilbert space, from which quasinormal modes…

High Energy Physics - Theory · Physics 2023-12-15 Klaas Parmentier

A universal description of particles with spins j greater or equal one , transforming in (j,0)+(0,j), is developed by means of representation specific second order differential wave equations without auxiliary conditions and in covariant…

High Energy Physics - Theory · Physics 2016-10-31 Mariana Kirchbach , Victor Miguel Banda Guzman

The Klein-Gordon and Dirac equations in a semi-infinite lab ($x > 0$), in the background metric $\ds^2 = u^2(x) (-\dt^2 + \dx^2) + \dy^2 + \dz^2$, are investigated. The resulting equations are studied for the special case $ u(x) = 1 + g x$.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. Khorrami , M. Alimohammadi , A. Shariati

We generalize our previous unification of the Schrodinger and guidance equations in a single inhomogeneous Schrodinger equation to a Riemannian manifold with an external vector potential. A special case yields the unified theory for a spin…

Quantum Physics · Physics 2021-11-09 Peter Holland

This dissertation consists of three parts. The first part of the thesis is devoted to the study of gravity and higher spin gauge theories in 2+1 dimensions. The first part deals with cosmological solutions of spin-3 gravity and their…

High Energy Physics - Theory · Physics 2017-11-10 Avinash Raju

The most general spin structures of the spin-1/2 baryon and spinless meson production operator for both photon and nucleon induced reactions are derived from the partial-wave expansions of these reaction amplitudes. The present method…

Nuclear Theory · Physics 2007-05-23 K. Nakayama , W. G. Love

The exact solution of a system of bilinear identities derived in the first part of our work [Nucl.Phys.A 938 (2015) 59] for the case of real Grassmann-odd tensor aggregate of the type $(S,V_{\mu},\!\,^{\ast}T_{\mu \nu},A_{\mu}, P)$ is…

High Energy Physics - Theory · Physics 2016-05-26 Yuri A. Markov , Margarita A. Markova

We propose a tomographic reconstruction scheme for spin states. The experimental setup, which is a modification of the Stern-Gerlach scheme, can be easily performed with currently available technology. The method is generalized to…

Quantum Physics · Physics 2009-11-07 G. M. D'Ariano , L. Maccone , M. Paini
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