On the BRST Quantization of the Massless Bosonic Particle in Twistor-Like Formulation

Bandos, Igor A.; Maznytsia, Alexey; Rudychev, I.; Sorokin, Dmitri

doi:10.1142/s0217751x97001717

Cited by 8 publications

(11 citation statements)

References 25 publications

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“…Thus, as it should be expected, the above-obtained transition amplitude (33) coincides with the index-free form of the Weinberg propagator (37) [26] for the massive particle with any spin J, found in the (2J + 1)-component formalism of the field theory. This result is obtained with the use of the BFV-BRST path-integral approach for the first time.…”

Section: Resultssupporting

confidence: 83%

Weinberg propagator of a free massive particle with an arbitrary spin from the BFV-BRST path integral

Zima¹,

Fedoruk²

1999

Class. Quantum Grav.

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The transition amplitude is obtained for a free massive particle of arbitrary spin by calculating the path integral in the index-spinor formulation within the BFV-BRST approach. None renormalizations of the path integral measure were applied. The calculation has given the Weinberg propagator written in the index-free form with the use of index spinor. The choice of boundary conditions on the index spinor determines holomorphic or antiholomorphic representation for the canonical description of particle/antiparticle spin.

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Section: Resultssupporting

confidence: 83%

Weinberg propagator of a free massive particle with an arbitrary spin from the BFV-BRST path integral

Zima¹,

Fedoruk²

1999

Class. Quantum Grav.

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“…As it was shown in [26], in twistor-like formulations of particle mechanics it is convenient to perform conversion of the whole set of primary constraints, without dividing them into the sets of first and second class constraints.…”

Section: Conversion Of the Constraintsmentioning

confidence: 99%

Superparticle models with tensorial central charges

2000

Self Cite

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A generalization of the Ferber-Shirafuji formulation of superparticle mechanics is considered. The generalized model describes the dynamics of a superparticle in a superspace extended by tensorial central charge coordinates and commuting twistor-like spinor variables. The D = 4 model contains a continuous real parameter a ≥ 0 and at a = 0 reduces to the SU (2, 2|1) supertwistor Ferber-Shirafuji model, while at a = 1 one gets an OSp(1|8) supertwistor model of ref.[1] which describes BPS states with all but one unbroken target space supersymmetries. When 0 < a < 1 the model admits an OSp(2|8) supertwistor description, and when a > 1 the supertwistor group becomes OSp(1, 1|8). We quantize the model and find that its quantum spectrum consists of massless states of an arbitrary (half)integer helicity. The independent discrete central charge coordinate describes the helicity spectrum.We also outline the generalization of the a = 1 model to higher space-time dimensions and demonstrate that in D = 3, 4, 6 and 10, where the quantum states are massless, the extra degrees of freedom (with respect to those of the standard superparticle) parametrize compact manifolds. These compact manifolds can be associated with higher-dimensional helicity states. In particular, in D = 10 the additional "helicity" manifold is isomorphic to the sphere S 7 . *

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“…Before going further it is worth mentioning the relation of the doubly supersymmetric action (2.41) and (2.42) with twistor formulations of (super)particles [77,80]- [31,84,86].…”

Section: Spinning Superparticlesmentioning

confidence: 99%

Superbranes and superembeddings

2000

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We review the geometrical approach to the description of the dynamics of superparticles, superstrings and, in general, of super-p-branes, Dirichlet branes and the M5-brane, which is based on a generalization of the elements of surface theory to the description of the embedding of supersurfaces into target superspaces.Being manifestly supersymmetric in both, the superworldvolume of the brane and the target superspace, this approach unifies the Neveu-Schwarz-Ramond and the Green-Schwarz formulation and provides the fermionic κ-symmetry of the Green-Schwarz-type superbrane actions with a clear geometrical meaning of standard worldvolume local supersymmetry.The dynamics of superbranes is encoded in a generic superembedding condition. Depending on the superbrane and the target-space dimension, the superembedding condition produces either only off-shell constraints (as in the case of N = 1 superparticles and N = 1 superstrings), or also results in the full set of the superbrane equations of motion (as, for example, in the case of the M-theory branes). In the first case worldvolume superspace actions for the superbranes can be constructed, while in the second case only component or generalized superfield actions are known.We describe the properties of the doubly supersymmetric brane actions and show how they are related to the standard Green-Schwarz formulation.In the second part of the article basic geometrical grounds of the (super)embedding approach are considered and applied to the description of the M2-brane and the M5-brane. Various applications of the superembedding approach are reviewed. † Alexander

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On the BRST Quantization of the Massless Bosonic Particle in Twistor-Like Formulation

Cited by 8 publications

References 25 publications

Weinberg propagator of a free massive particle with an arbitrary spin from the BFV-BRST path integral

Weinberg propagator of a free massive particle with an arbitrary spin from the BFV-BRST path integral

Superparticle models with tensorial central charges

Superbranes and superembeddings

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