Mechanical models for higher spin gauge fields

Bengtsson, Anders K.H.

doi:10.1002/prop.200900032

Cited by 5 publications

(7 citation statements)

References 15 publications

(20 reference statements)

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Section: Interactionsmentioning

confidence: 96%

“…The resulting worldsheet is not a smooth manifold but a branched 2 dimensional surface. This form of the interaction vertex is very different from the string inspired interaction which has been explored in the literature on massless particles [7]. Before examining the quantization of the relativistic two particle model it is interesting to note the relationship between DPS and other bilocal models appearing in the literature.…”

Section: (J) Imentioning

confidence: 99%

“…In particular, many of the aforementioned models can be viewed as restrictions on the motion of a classical string [6]. More recently bilocal models have emerged in the context of higher spin theory in an attempt to derive the form of interaction vertices [7]. Presently we will investigate further applications of bilocal models, showing that they play a fundamental role in our understanding of spin.…”

Section: Introductionmentioning

confidence: 99%

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Bilocal model for the relativistic spinning particle

Rempel

Freidel

2017

Phys. Rev. D

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In this work we show that a relativistic spinning particle can be described at the classical and the quantum level as being composed of two physical constituents which are entangled and separated by a fixed distance. This bilocal model for spinning particles allows for a natural description of particle interactions as a local interaction at each of the constituents. This form of the interaction vertex provides a resolution to a long standing issue on the nature of relativistic interactions for spinning objects in the context of the worldline formalism. It also potentially brings a dynamical explanation for why massive fundamental objects are naturally of lowest spin. We analyze first a non-relativistic system where spin is modeled as an entangled state of two particles with the entanglement encoded into a set of constraints. It is shown that these constraints can be made relativistic and that the resulting description is isomorphic to the usual description of the phase space of massive relativistic particles with the restriction that the quantum spin has to be an integer.

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Section: Interactionsmentioning

confidence: 96%

Section: (J) Imentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Bilocal model for the relativistic spinning particle

Rempel

Freidel

2017

Phys. Rev. D

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“…Somewhat similarly, an old mechanical model (inspired by the string model of hadronic physics) producing an infinite tower of massless and massive particles has been revisited very recently[17] in the modern light of the interaction problem for higher-spin gauge theories 4. Notice that this property is in agreement with the main conclusion of Grodsky-Streater's no-go theorem[12].…”

mentioning

confidence: 62%

An infinite supermultiplet of massive higher-spin fields

Bekaert

Traubenberg

Valenzuela

2009

J. High Energy Phys.

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The representation theory underlying the infinite-component relativistic wave equation written by Majorana is revisited from a modern perspective. On the one hand, the massless solutions of this equation are shown to form a supermultiplet of the superPoincaré algebra with tensorial central charges; it can also be obtained as the infinite spin limit of massive solutions. On the other hand, the Majorana equation is generalized for any space-time dimension and for arbitrary Regge trajectories. Inspired from these results, an infinite supermultiplet of massive fields of all spins and of equal mass is constructed in four dimensions and proved to carry an irreducible representation of the orthosymplectic group OSp (1|4) and of the superPoincaré group with tensorial charges.

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“…There is the related problem of understanding the underlying physical principle, if any such exists, behind higher spin gauge fields. In [12], mechanical models were briefly discussed for higher spin gauge fields as a step towards basing a physical picture of the interactions on such a model. Although looking promising at the outset, such an approach is fraught with problems that presumably go back to the free theory itself and its constraint structure.…”

Section: Introductionmentioning

confidence: 99%

BRST theory for continuous spin

Bengtsson

2013

J. High Energ. Phys.

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Some puzzling aspects of higher spin field theory in Minkowski space-time, such as the tracelessness constraints and the search for an underlying physical principle, are discussed. A connecting idea might be provided by the recently much researched continuous spin representations of the Poincaré group. The Wigner equations, treated as first class constraints, yields to a four-constraint BRST formulation. The resulting field theory, generalizing free higher spin field theory, is one among a set of higher spin theories that can be related to previous work on unconstrained formulations. In particular, it is conjectured that the unconstrained higher spin theory of Francia and Sagnotti is a limit of a continuous spin theory. Furthermore, a simple analysis of the constraint structure reveals a hint of a physical rationale behind the trace constraints.

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Mechanical models for higher spin gauge fields

Abstract: Returning to an old idea of a certain two-particle relativistic harmonic oscillator as an underlying mechanical model for higher spin gauge fields, various space-time pictures are discussed for the propagation and the interactions.

Cited by 5 publications

References 15 publications

Bilocal model for the relativistic spinning particle

Bilocal model for the relativistic spinning particle

An infinite supermultiplet of massive higher-spin fields

BRST theory for continuous spin

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