Lagrange Multiplier Formalism for a Spin 3/2 Field - INSPIRE

DataBETA

Lagrange Multiplier Formalism for a Spin 3/2 Field

K.Babu Joseph
(
- Cochin U.
)
,
M. Sabir
(
- Cochin U.
)

Dec, 1976

10 pages

Published in:

J.Phys.A 10 (1977) 1225

DOI:

10.1088/0305-4470/10/7/019

Report number:

Print-77-0134 (COCHIN)

View in:

ADS Abstract Service

reference search6 citations

Citations per year

Abstract: (IOP)

It is proposed that the method of keeping the subsidiary conditions separate from the equations of motion in a consistent way by means of a Lagrange multiplier may be the solution to the various pathologies afflicting high-spin field theories. The distinct features of this approach are discussed with reference to a massive spin-3/2 field. It is shown that in this formulation there is no causality violation for propagation in an external field and the energy spectrum in a homogeneous magnetic field is real. Quantization is carried out in a Hilbert space with indefinite metric. For minimal electromagnetic interaction a unitary S matrix is constructed by introducing a fictitious particle and an additional vertex.

FIELD THEORY: MASSIVE
FIELD THEORY: EXTERNAL FIELD
SPIN: HIGH
ENERGY SPECTRUM
QUANTIZATION
ELECTROMAGNETIC INTERACTION
S-MATRIX
UNITARITY
MATHEMATICAL METHODS

References(20)

Figures(0)

- Prog.Theor.Phys. 44 304

- Phys.Rev.D 8 2069

Charged vector mesons and xi formalism

J.P. Hsu
(
- Texas U.
)

- Phys.Rev.D 9 (1974) 1113-1118
•
DOI:
- 10.1103/PhysRevD.9.1113

Theory of Massive and Massless Yang-Mills Fields

J.P. Hsu
(
- Texas U.
)
,
E.C.G. Sudarshan
(
- Texas U.
)

- Phys.Rev.D 9 (1974) 1678
•
DOI:
- 10.1103/PhysRevD.9.1678

The propagation of an interacting spin one field

J.D. Jenkins
(
- Durham U.
)

- Lett.Nuovo Cim. 6S2 (1973) 103-106,
- Lett.Nuovo Cim. 6 (1973) 103-106
•
DOI:
- 10.1007/BF02813720

Causality, lorentz invariance and i) the electromagnetic interaction of a massive spin-one vector field with arbitrary magnetic-dipole moment, ii) the massive yang-mills field

J.D. Jenkins
(
- Durham U.
)

- Lett.Nuovo Cim. 7S2 (1973) 559-562,
- Lett.Nuovo Cim. 7 (1973) 559-562
•
DOI:
- 10.1007/BF02727685

Some remarks on causality, lorentz invariance and the generalized matthews' rule for a massive spin one vector field in an external potential

J.D. Jenkins
(
- Durham U.
)

- J.Phys.A 6 (1973) 1211-1216
•
DOI:
- 10.1088/0305-4470/6/8/015

The relationship between causality, in a classical relativistic field theory, and lorentz invariance, in the corresponding quantum theory, for a massive spin-one field in external potentials

J.D. Jenkins
(
- Durham U.
)

- J.Phys.A 6 (1973) 1935-1942
•
DOI:
- 10.1088/0305-4470/6/12/017

Constraints, Causality and Lorentz Invariance

J.D. Jenkins
(
- Durham U.
)

- J.Phys.A 7 (1974) 1129-1134
•
DOI:
- 10.1088/0305-4470/7/10/004

Inconsistency of the local field theory of charged spin 3/2 particles

Kenneth Johnson
(
- MIT, LNS
)
,
E.C.G. Sudarshan
(
- Harvard U.
)

- Annals Phys. 13 (1961) 126-145
•
DOI:
- 10.1016/0003-4916(61)90030-6

Stationary states of a spin-1 particle in a homogeneous magnetic field

P.M. Mathews
(
- Texas U.
)

- Phys.Rev.D 9 (1974) 365-369
•
DOI:
- 10.1103/PhysRevD.9.365

Method of characteristics and causality of field propagation

P.M. Mathews
(
- Texas U.
)
,
M. Seetharaman
(
- Madras U.
)

- Phys.Rev.D 8 (1973) 1815-1816
•
DOI:
- 10.1103/PhysRevD.8.1815

Massive vector field and electromagnetic field in the landau gauge

N. Nakanishi
(
- Brookhaven
)

- Phys.Rev.D 5 (1972) 1324-1330
•
DOI:
- 10.1103/PhysRevD.5.1324

Uniqueness of the interaction involving spin 3/2 particles

- Phys.Rev.D 3 (1971) 2153-2161
•
DOI:
- 10.1103/PhysRevD.3.2153

Causality and Indefiniteness of Charge in Spin 3/2 Field Theories

- J.Phys.A 8 (1975) 560-565
•
DOI:
- 10.1088/0305-4470/8/4/018

Propagation of interacting fields

A. Shamaly
(
- Calgary U.
)
,
A.Z. Capri
(
- Calgary U.
)

- Annals Phys. 74 (1972) 503-523
•
DOI:
- 10.1016/0003-4916(72)90149-2

Noncausal propagation of classical rarita-schwinger waves

L.P.S. Singh
(
- Rochester U.
)

- Phys.Rev.D 7 (1973) 1256-1258
•
DOI:
- 10.1103/PhysRevD.7.1256

Motion of charged particles in a homogeneous magnetic field

Wu-Yang Tsai
(
- Harvard U.
)
,
A. Yildiz
(
- Harvard U.
)

- Phys.Rev.D 4 (1971) 3643-3648
•
DOI:
- 10.1103/PhysRevD.4.3643

Propagation and quantization of Rarita-Schwinger waves in an external electromagnetic potential

Giorgio Velo
(
- New York U.
)
,
Daniel Zwanziger
(
- New York U.
)

- Phys.Rev. 186 (1969) 1337-1341
•
DOI:
- 10.1103/PhysRev.186.1337

Noncausality and other defects of interaction lagrangians for particles with spin one and higher

G. Velo
(
- New York U.
)
,
D. Zwanziger
(
- New York U.
)

- Phys.Rev. 188 (1969) 2218-2222
•
DOI:
- 10.1103/PhysRev.188.2218