Causality and indefiniteness of charge in spin 3/2 field theories

Prabhakaran, J.; Seetharaman, M.; Mathews, P. M.

doi:10.1088/0305-4470/8/4/018

Cited by 20 publications

(11 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Our Lagrangian density (1) and equation ( 2) are different from that of [ 9 ], but it is easy to verify that our equation ( 2) is equivalent to the Bhabha-Gupta equation given in f 9 ]. Multiplying (2) by (py) and we, similarly as in ' [ 9 ], obtain p\ =O,…”

Section: The Bhabha-gupta Equationmentioning

confidence: 98%

See 1 more Smart Citation

On the Acausality of Spin 3/2 Wave Equations

Loide¹

1983

Proceedings of the Academy of Sciences of the Estonian SSR. Phy

View full text Add to dashboard Cite

show abstract

Section: The Bhabha-gupta Equationmentioning

confidence: 98%

“…In this section we deal with the Bhabha-Gupta equation for spins 3/2 and 1/2. The acausality of Bhabha-Gupta equation was examined in [ 9 ].…”

Section: The Bhabha-gupta Equationmentioning

confidence: 99%

On the Acausality of Spin 3/2 Wave Equations

Loide¹

1983

Proceedings of the Academy of Sciences of the Estonian SSR. Phy

View full text Add to dashboard Cite

show abstract

“…For all the spin 3/2 equations of motion the problem of total charge indefiniteness still remained [12], knowing that, in the case of Gupta equation [14] with some conditions, the charge density is positive-definite. However, generally the total charge in the free theory is indefinite which means, that the condition for the positivity of charge is first noted and then it is shown that this condition has to be violated if causality of propagation is to be ensured.…”

Section: A Review Of the Continuity Equation In Commutative Casementioning

confidence: 99%

“…Unlike these mentioned equations, with Fisk-Tait's equation all of these problems almost have been solved. To be clear from the beginning all of these equations that describe the motion of spin-3/2 fermions have the problem of indefiniteness of the total charge [12,13] including some exceptions such as in the case of the Gupta equation [14] the charge density is positive-definite for some properties. As well as in the theory of interacting spin-3/2 particle by T. Fukuyama and K. Yamamoto [15], where they suppress redundant particles by making their masses infinite.…”

mentioning

confidence: 99%

On the Fisk–Tait equation for spin-3/2 fermions interacting with an external magnetic field in noncommutative space-time

Haouam¹

2020

J. Phys. Stud.

View full text Add to dashboard Cite

The Fisk-Tait equation in interaction with an external magnetic field in noncommutative spacetime is investigated, consequently, we studied the continuity equation in both commutative and noncommutative space-time; there we examined the influence of the space-time noncommutativity on the current density quadri-vector. And we also find that the total charge obtained from the probability density still indefinite even when space does not commute. Furthermore we found the spin current density in the two different spin directions. We also investigated the linking between the fermions and the bosons in the Fock space using the Holstein-Primakoff transformation.Over the years the particle equations for an arbitrary spin was considered the subject for careful investigations, that's why today we are interested in the relativistic equations that describe the motion of spin-3/2 particles. Such as the relativistic Rarita-Schwinger equation (1940) [1], the Fisk-Tait equation (1973) [2], Hurley's field equation [3], Bhabha-Gupta equation (Bhabha, Gupta 1952, 1954, 1974, the approach for arbitrary spin equation by V. Bargman, E.P. Wigner (1948) [6]. Also the Heisenberg equations of motion for the spin-3/2 field (1977) [7], in which, it is shown for dynamical systems with constraints depending upon external fields, the Lagrange and Heisenberg equations of motion are the same for the quantized charged spin-3/2 field in the presence of a minimal external electromagnetic interaction. The Rarita-Schwinger spin-3/2 equation in the weak-field limit is obtained to satisfy the Heisenberg equations of motion. This is similar to the case of spin-3/2 field minimally coupled with an external electromagnetic field by Mainland and Sudarshan (1973) [8].As well recently, we have the link between the relativistic canonical quantum mechanics of arbitrary spin and the covariant local field theory by V.M. Simulik (2017) [9] (where the found equations are without redundant components). Where it has been confirmed that, the synthesis of the relativistic canonical quantum mechanics of the spins-3/2 particle and antiparticle doublet is completely similar to the synthesis of the Dirac equation from the relativistic canonical quantum mechanics of the spin-1/2 particle-antiparticle doublet. On the basis of the investigation of solutions and transformation properties with respect to the Poincare group the obtained new 8-component equation is suggested to be well defined for the description of spin s=3/2 fermions. Despite the Rarita-Schwinger equation which has 16 components and needs the additional condition.But the equation for a particle of spin-3/2 originally was given by Fierz and Pauli (I939) in spinor form [10]. Knowing that the Klein-Gordon, Dirac, and Proca equations provide a relativistic description of the particles that have the lowest spins cases (S=0, 1/2, 1 respectively).For instance, the Rarita-Schwinger equation was formulated for the first time by William Rarita and Julian Schwinger, it was the most famous equation that describes the m...

show abstract

“…Рассмотрим уравнение Баба -Гупты (БГ) для частиц со спинами 3 / 2 иV2 [ l>2 ]. Исследование причинности показало [ 3 ], что подходящим выбором свободных параметров в уравнении можно избежать непричинного распространения, но этот выбор делает полный заряд в свободной теории индефинитным. Оказалось, что дефицитность заряда зависит от параметра, который в решениях уравнения БГ никакой роли не играет.…”

unclassified

Об Уравнении Баба–гупты

Loide¹

1985

Proceedings of the Academy of Sciences of the Estonian SSR. Phy

View full text Add to dashboard Cite

Causality and indefiniteness of charge in spin 3/2 field theories

Cited by 20 publications

References 15 publications

On the Acausality of Spin 3/2 Wave Equations

On the Acausality of Spin 3/2 Wave Equations

On the Fisk–Tait equation for spin-3/2 fermions interacting with an external magnetic field in noncommutative space-time

Об Уравнении Баба–гупты

Contact Info

Product

Resources

About