Field‐Theoretic Description of Massless Particles with Higher Spin and Definite Parity. II. Half‐Integer Spin

1971 ◽  
Vol 12 (1) ◽  
pp. 36-39
Author(s):  
T. Cukierda
Keyword(s):  
Massless Particles ◽  
Integer Spin ◽  
Half Integer ◽  
Higher Spin ◽  
Theoretic Description

scholarly journals Lagrangian Formulation of Free Arbitrary N-Extended Massless Higher Spin Supermultiplets in 4D AdS Space

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 2052
Author(s):  
Ioseph L. Buchbinder ◽  
Timofey V. Snegirev
Keyword(s):  
Explicit Form ◽  
De Sitter Space ◽  
Lagrangian Formulation ◽  
De Sitter ◽  
Integer Spin ◽  
Half Integer ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

We derived the component Lagrangian for the free N-extended on-shell massless higher spin supermultiplets in four-dimensional anti-de Sitter space. The construction was based on the frame-like description of massless integer and half-integer higher spin fields. The massless supermultiplets were formulated for N≤4k, where k is a maximal integer or half-integer spin in the multiplet. The supertransformations that leave the Lagrangian invariant were found in explicit form and it was shown that their algebra is closed on-shell.

A BRST APPROACH TO MASSLESS GAUGE FIELDS OF HALF-INTEGER SPIN

1990 ◽  
Vol 05 (16) ◽  
pp. 3265-3275 ◽  
Author(s):  
THOMAS DOMEIJ
Keyword(s):  
Wave Function ◽  
Symmetric Tensor ◽  
Flat Space ◽  
Space Time ◽  
Gauge Fields ◽  
Massless Particles ◽  
Function Representation ◽  
Integer Spin ◽  
Half Integer ◽  
Do So

We present a program based on BRST techniques for how to obtain the conventional equations for totally symmetric tensor-spinors which describe free massless particles of arbitrary half-integer spin. We do so in a wave function representation in a flat space-time background of any even dimension.

scholarly journals The σ− Cohomology Analysis for Symmetric Higher-Spin Fields

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1498
Author(s):  
Alexey S. Bychkov ◽  
Kirill A. Ushakov ◽  
Mikhail A. Vasiliev
Keyword(s):  
Minkowski Space ◽  
Dimensional Case ◽  
Arbitrary Integer ◽  
Complete Proof ◽  
Four Dimensions ◽  
Integer Spin ◽  
Half Integer ◽  
Higher Spin ◽  
Spin Fields ◽  
Massless Fields

In this paper, we present a complete proof of the so-called First On-Shell Theorem that determines dynamical content of the unfolded equations for free symmetric massless fields of arbitrary integer spin in any dimension and arbitrary integer or half-integer spin in four dimensions. This is achieved by calculation of the respective σ− cohomology both in the tensor language in Minkowski space of any dimension and in terms of spinors in AdS4. In the d-dimensional case Hp(σ−) is computed for any p and interpretation of Hp(σ−) is given both for the original Fronsdal system and for the associated systems of higher form fields.

scholarly journals MASSIVE FIELDS WITH ARBITRARY HALF-INTEGER SPIN IN CONSTANT ELECTROMAGNETIC FIELD

2000 ◽  
Vol 15 (05) ◽  
pp. 609-624 ◽  
Author(s):  
S. M. KLISHEVICH
Keyword(s):  
Electromagnetic Field ◽  
External Electromagnetic Field ◽  
Tensor Fields ◽  
Gauge Transformations ◽  
Integer Spin ◽  
Half Integer ◽  
Constant Electromagnetic Field ◽  
Higher Spin ◽  
Spin Fields ◽  
Homogeneous Electromagnetic Field

We study the interaction of gauge fields of arbitrary half-integer spins with the homogeneous electromagnetic field. We reduce the problem of obtaining the gauge-invariant Lagrangian and transformations of the half-integer spin fields in the external field to an algebraic problem of search for a set of operators with certain algebraic features using the representation of the higher-spin fields as vectors in a pseudo-Hilbert space. We consider such construction at linear order in the external electromagnetic field and also present an explicit form of interaction Lagrangians and gauge transformations for the massive particles of spins [Formula: see text] and [Formula: see text] in terms of symmetric spin-tensor fields. The obtained result is valid for space–time of arbitrary even dimension.

MECHANISMS OF FRACTIONATION OF STABLE ISOTOPES IN LIVING SYSTEMS

2021 ◽  
Author(s):  
Stepan S. Dzhimak ◽  
◽  
Anna Elkina ◽  
Alexandr A. Basov ◽  
◽  
...  
Keyword(s):  
Stable Isotopes ◽  
Exchange Interaction ◽  
Intercellular Space ◽  
Living Systems ◽  
Complete Understanding ◽  
Integer Spin ◽  
Half Integer ◽  
Physical Laws

Some physical laws are considered that provide stable fractionation of isotopes, leading to the accumulation of certain isotopic forms in the intracellular and intercellular space with the manifestation of these effects at various levels of the organism. It is suggested that for a more complete understanding of the above processes, it is necessary to study the mechanism of exchange interaction between particles with integer spin (bosons) and half-integer spin (fermions).

scholarly journals Test of Einstein Equivalence Principle for 0-Spin and Half-Integer-Spin Atoms: Search for Spin-Gravity Coupling Effects

2014 ◽  
Vol 113 (2) ◽  
Author(s):  
M. G. Tarallo ◽  
T. Mazzoni ◽  
N. Poli ◽  
D. V. Sutyrin ◽  
X. Zhang ◽  
...  
Keyword(s):  
Equivalence Principle ◽  
Coupling Effects ◽  
Integer Spin ◽  
Half Integer
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