scholarly journals Pure spin-5/2 propagator from the antisymmetric tensor spinor formalism

2020 ◽  
Author(s):  
M. Mujirin ◽  
J. Kristiano ◽  
T. Mart
2019 ◽  
Vol 34 (11) ◽  
pp. 1950060 ◽  
Author(s):  
J. P. Edwards ◽  
M. Kirchbach

We construct the Rarita–Schwinger basis vectors, [Formula: see text], spanning the direct product space, [Formula: see text], of a massless four-vector, [Formula: see text], with massless Majorana spinors, [Formula: see text], together with the associated field-strength tensor, [Formula: see text]. The [Formula: see text] space is reducible and contains one massless subspace of a pure spin-[Formula: see text]. We show how to single out the latter in a unique way by acting on [Formula: see text] with an earlier derived momentum independent projector, [Formula: see text], properly constructed from one of the Casimir operators of the algebra [Formula: see text] of the homogeneous Lorentz group. In this way, it becomes possible to describe the irreducible massless [Formula: see text] carrier space by means of the antisymmetric tensor of second rank with Majorana spinor components, defined as [Formula: see text]. The conclusion is that the [Formula: see text] bi-vector spinor field can play the same role with respect to a [Formula: see text] gauge field as the bi-vector, [Formula: see text], associated with the electromagnetic field-strength tensor, [Formula: see text], plays for the Maxwell gauge field, [Formula: see text]. Correspondingly, we find the free electromagnetic field equation, [Formula: see text], is paralleled by the free massless Rarita–Schwinger field equation, [Formula: see text], supplemented by the additional condition, [Formula: see text], a constraint that invokes the Majorana sector.


2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Haowei Xu ◽  
Hua Wang ◽  
Jian Zhou ◽  
Ju Li

AbstractSpin current generators are critical components for spintronics-based information processing. In this work, we theoretically and computationally investigate the bulk spin photovoltaic (BSPV) effect for creating DC spin current under light illumination. The only requirement for BSPV is inversion symmetry breaking, thus it applies to a broad range of materials and can be readily integrated with existing semiconductor technologies. The BSPV effect is a cousin of the bulk photovoltaic (BPV) effect, whereby a DC charge current is generated under light. Thanks to the different selection rules on spin and charge currents, a pure spin current can be realized if the system possesses mirror symmetry or inversion-mirror symmetry. The mechanism of BSPV and the role of the electronic relaxation time $$\tau$$ τ are also elucidated. We apply our theory to several distinct materials, including monolayer transition metal dichalcogenides, anti-ferromagnetic bilayer MnBi2Te4, and the surface of topological crystalline insulator cubic SnTe.


1993 ◽  
Vol 08 (25) ◽  
pp. 2403-2412 ◽  
Author(s):  
AMITABHA LAHIRI

I present the reduction of phase space of the theory of an antisymmetric tensor potential coupled to an Abelian gauge field, using Dirac's procedure. Duality transformations on the reduced phase space are also discussed.


1987 ◽  
Vol 97 (2) ◽  
pp. 141-169
Author(s):  
A. Z. Capri ◽  
M. Kobatashi

2015 ◽  
Vol 91 (2) ◽  
Author(s):  
Estitxu Villamor ◽  
Miren Isasa ◽  
Saül Vélez ◽  
Amilcar Bedoya-Pinto ◽  
Paolo Vavassori ◽  
...  
Keyword(s):  

2013 ◽  
Vol 110 (9) ◽  
pp. 3287-3292 ◽  
Author(s):  
Yejun Feng ◽  
Jiyang Wang ◽  
D. M. Silevitch ◽  
B. Mihaila ◽  
J. W. Kim ◽  
...  

2014 ◽  
Vol 104 (16) ◽  
pp. 162409 ◽  
Author(s):  
Michael Schüler ◽  
Jamal Berakdar

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