BRST quantization of free massless relativistic particles of arbitrary spin

1989 ◽  
Vol 321 (1) ◽  
pp. 185-206 ◽  
Author(s):  
Robert Marnelius ◽  
Ulf Mårtensson
Keyword(s):  
Brst Quantization ◽  
Arbitrary Spin ◽  
Relativistic Particles

scholarly journals Proper BRST quantization of relativistic particles

1994 ◽  
Vol 418 (1-2) ◽  
pp. 353-378 ◽  
Author(s):  
Robert Marnelius
Keyword(s):  
Brst Quantization ◽  
Relativistic Particles

Observables for Massive Relativistic Particles of Arbitrary Spin

1969 ◽  
Vol 10 (10) ◽  
pp. 1869-1874 ◽  
Author(s):  
J. A. de Azcárraga ◽  
L. Oliver
Keyword(s):  
Arbitrary Spin ◽  
Relativistic Particles

NEW MANIFESTLY COVARIANT MODELS FOR RELATIVISTIC PARTICLES OF ARBITRARY SPIN

1991 ◽  
Vol 06 (05) ◽  
pp. 807-844 ◽  
Author(s):  
ROBERT MARNELIUS ◽  
ULF MÅRTENSSON
Keyword(s):  
Arbitrary Spin ◽  
Internal Variables ◽  
Spinning Particles ◽  
Massive Particles ◽  
Relativistic Particles

By means of a previously developed procedure for the derivation of manifestly Lorentz covariant models of spinning particles, we derive new classes of models in which the internal variables transform as Lorentz spinors. Models for massless and massive particles of arbitrary spin are given in which the internal variables are fermionic or bosonic spinors. Lagrangians and their local invariances are explicitly written down for all models.

THE SPINNING CONFORMAL PARTICLE AND ITS BRST QUANTIZATION

1993 ◽  
Vol 08 (30) ◽  
pp. 5305-5328 ◽  
Author(s):  
ULF MÅRTENSSON
Keyword(s):  
Quantum Theory ◽  
Minkowski Space ◽  
Conformal Invariance ◽  
Brst Quantization ◽  
Brst Symmetry ◽  
Arbitrary Spin ◽  
Massless Particles ◽  
Brst Invariance

We present the classical and quantum theory of the spinning conformal particle. This is a model with manifestly O(2, 4) (conformal) invariance, and it describes both massive and massless particles of arbitrary spin depending on the projection to Minkowski space. We perform both an ordinary BRST quantization and an extended one including the anti-BRST symmetry. It is shown that anti-BRST invariance is necessary to ensure ghost decoupling and make the quantization of the model consistent.

scholarly journals Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches

2021 ◽  
Vol 2021 ◽  
pp. 1-24
Author(s):  
A. Tripathi ◽  
B. Chauhan ◽  
A. K. Rao ◽  
R. P. Malik
Keyword(s):  
Brst Quantization ◽  
Relativistic Particle ◽  
Brst Symmetry ◽  
Target Space ◽  
Spinning Particle ◽  
1D Model ◽  
Symmetry Transformations ◽  
The Absolute ◽  
The One ◽  
Relativistic Particles

We carry out the Becchi-Rouet-Stora-Tyutin (BRST) quantization of the one 0 + 1 -dimensional (1D) model of a free massive spinning relativistic particle (i.e., a supersymmetric system) by exploiting its classical infinitesimal and continuous reparameterization symmetry transformations. We use the modified Bonora-Tonin (BT) supervariable approach (MBTSA) to BRST formalism to obtain the nilpotent (anti-)BRST symmetry transformations of the target space variables and the (anti-)BRST invariant Curci-Ferrari- (CF-) type restriction for the 1D model of our supersymmetric (SUSY) system. The nilpotent (anti-)BRST symmetry transformations for other variables of our model are derived by using the (anti-)chiral supervariable approach (ACSA) to BRST formalism. Within the framework of the latter, we have shown the existence of the CF-type restriction by proving the (i) symmetry invariance of the coupled Lagrangians and (ii) the absolute anticommutativity property of the conserved (anti-)BRST charges. The application of the MBTSA to a physical SUSY system (i.e., a 1D model of a massive spinning particle) is a novel result in our present endeavor. In the application of ACSA, we have considered only the (anti-)chiral super expansions of the supervariables. Hence, the observation of the absolute anticommutativity of the (anti-)BRST charges is a novel result. The CF-type restriction is universal in nature as it turns out to be the same for the SUSY and non-SUSY reparameterization (i.e., 1D diffeomorphism) invariant models of the (non-)relativistic particles.

Zur Beschreibung relativistischer Teilchen höheren Spins im elektromagnetischen Feld / The Description of Relativistic Particles with Arbitrary Spin in the Electromagnetic Field,

1972 ◽  
Vol 27 (2) ◽  
pp. 339-362
Author(s):  
Wolfgang Ulrici
Keyword(s):  
Electromagnetic Field ◽  
Wave Equation ◽  
Center Of Mass ◽  
Arbitrary Spin ◽  
Canonical Representation ◽  
Mass Motion ◽  
Homogeneous Electromagnetic Field ◽  
Spinor Representations ◽  
Special Case ◽  
Relativistic Particles

AbstractStarting with the equations of the center-of-mass motion and spin motion of a particle in a homogeneous electromagnetic field, we derive the Hamiltonian and the wave equation of a relativistic particle with arbitrary spin and arbitrary magnetic moment in this field. We change from the canonical representation to spinor representations with convenient transformation properties, and we find a form of the wave equation which, for the special case of spin 1/2, coincides with the Dirac equation (in the form first given by Feynman). The problems and limitations of this derivation are extensively discussed.

Supernovae and interstellar gas dynamics

1967 ◽  
Vol 31 ◽  
pp. 117-119
Author(s):  
F. D. Kahn ◽  
L. Woltjer
Keyword(s):  
Lower Limit ◽  
High Velocity ◽  
Gas Dynamics ◽  
Interstellar Cloud ◽  
Interstellar Gas ◽  
Random Motions ◽  
Relativistic Particles

The efficiency of the transfer of energy from supernovae into interstellar cloud motions is investigated. A lower limit of about 0·002 is obtained, but values near 0·01 are more likely. Taking all uncertainties in the theory and observations into account, the energy per supernova, in the form of relativistic particles or high-velocity matter, needed to maintain the random motions in the interstellar gas is estimated as 1051·4±1ergs.

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