# ON THE QUANTUM THEORY OF MASSLESS SPIN-3/2 FIELD IN MINKOWSKI SPACETIME

@article{Qiu2006ONTQ, title={ON THE QUANTUM THEORY OF MASSLESS SPIN-3/2 FIELD IN MINKOWSKI SPACETIME}, author={Weigang Qiu and Fei Sun and Hongbao Zhang}, journal={International Journal of Geometric Methods in Modern Physics}, year={2006}, volume={03}, pages={1303-1312} }

From the modern viewpoint and by the geometric method, this paper provides a concise foundation for the quantum theory of massless spin-3/2 field in Minkowski spacetime, which includes both the one-particle's quantum mechanics and the many-particle's quantum field theory. The explicit result presented here is useful for the investigation of spin-3/2 field in various circumstances such as supergravity, twistor programme, Casimir effect, and quantum inequality.

## One Citation

### Casimir Effect for a Massless Spin-3/2 Field in Minkowski Spacetime

- Physics
- 2007

The Casimir effect has been studied for various quantum fields in both flat and curved spacetimes. As a further step along this line, we provide an explicit derivation of Casimir effect for massless…

## References

SHOWING 1-10 OF 24 REFERENCES

### Quantum inequalities for a massless spin- 3 / 2 field in Minkowski spacetime

- Physics
- 2006

Quantum inequalities have been established for various quantum fields in both flat and curved spacetimes. In particular, for spin-3/2 fields, Yu and Wu have explicitly derived quantum inequalities…

### Quantum theory of spin-3/2 field in Einstein spaces

- Physics
- 1982

A quantum theory of a free massless spin-3/2 field on Einstein spaces (Rab=Λgab) is formulated in an algebraic framework. Attention is confined to the structure of the quantum operator algebra. In…

### Group Theoretical Discussion of Relativistic Wave Equations.

- PhysicsProceedings of the National Academy of Sciences of the United States of America
- 1948

1 — The wave functions, ψ, describing the possible states of a quantum mechanical system form a linear vector space V which, in general,. is infinite dimensional and on which a positive definite…

### On the quantum mechanics for one photon

- Physics
- 2006

This paper revisits the quantum mechanics for one photon from the modern viewpoint and by the geometrical method. Especially, besides the ordinary (rectangular) momentum representation, we provide an…

### Zero rest-mass fields including gravitation: asymptotic behaviour

- Mathematics, PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1965

A zero rest-mass field of arbitrary spin s determines, at each event in space-time, a set of 2s principal null directions which are related to the radiative behaviour of the field. These directions…

### 80 Years of Professor Wigner's Seminal Work "On Unitary Representations of the Inhomogeneous Lorentz Group"

- Physics
- 1939

It is perhaps the most fundamental principle of Quantum Mechanics that the system of states forms a linear manifold,1 in which a unitary scalar product is defined.2 The states are generally…

### Note on Energy-Momentum Tensor for General Mixed Tensor-Spinor Fields

- Physics
- 2005

This note provides an explicit proof of the equivalence of Belinfante's energy-momentum tensor and metric energy-momentum tensor for general mixed tensor-spinor fields.

### Phys

- Rev. 60: 61
- 1941