Consistent interactions and involution

Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.

doi:10.1007/jhep01(2013)097

Cited by 41 publications

(73 citation statements)

References 33 publications

(145 reference statements)

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“…Once the equations of motion (48) are non-Lagrangian, we count the DoF by using the formula (8) from Ref. 37 . This counting method does not appeal to Lagrangian or Hamiltonian formalism.…”

Section: A Lightlike World Lines On a Cylinder With A Timelike Axismentioning

confidence: 99%

World sheets of spinning particles

Kaparulin

Lyakhovich

2017

Phys. Rev. D

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The classical spinning particles are considered such that quantization of classical model leads to an irreducible massive representation of the Poincaré group. The class of gauge equivalent classical particle world lines is shown to form a [(d + 1)/2]-dimensional world sheet in d-dimensional Minkowski space, irrespectively to any specifics of the classical model. For massive spinning particles in d = 3, 4, the world sheets are shown to be circular cylinders. The radius of cylinder is fixed by representation. In higher dimensions, particle's world sheet turns out to be a toroidal cylinderProceeding from the fact that the world lines of irreducible classical spinning particles are cylindrical curves, while all the lines are gauge equivalent on the same world sheet, we suggest a method to deduce the classical equations of motion for particles and also to find their gauge symmetries. In d = 3 Minkowski space, the spinning particle path is defined by a single fourth-order differential equation having two zero-order gauge symmetries. The equation defines particle's path in Minkowski space, and it does not involve auxiliary variables. A special case is also considered of cylindric null curves, which are defined by a different system of equations. It is shown that the cylindric null curves also correspond to irreducible massive spinning particles. For the higher-derivative equation of motion of the irreducible massive spinning particle, we deduce the equivalent second-order formulation involving an auxiliary variable. The second-order formulation agrees with a previously known spinning particle model.

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“…Once the equations of motion (48) are non-Lagrangian, we count the DoF by using the formula (8) from Ref. 37 . This counting method does not appeal to Lagrangian or Hamiltonian formalism.…”

Section: A Lightlike World Lines On a Cylinder With A Timelike Axismentioning

confidence: 99%

World sheets of spinning particles

Kaparulin

Lyakhovich

2017

Phys. Rev. D

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“…(2.1)-(2.3) is taken care of by the gauge identities [36]. It was shown long ago [37] that the degrees of freedom count is related to the "strength of the system".…”

Section: Massive Hs Fields In a Gravitational Backgroundmentioning

confidence: 99%

“…[36] in terms of the number of equations t k and independent gauge identities l k of order k in derivatives:…”

Section: Jhep10(2014)193mentioning

confidence: 99%

“…They only contain lowerderivatives of the field lest unphysical modes should appear or causal propagation be lost. The involutive deformation method [36] consists of finding the deformations (2.12)-(2.14), for which there exists a deformed version of the relations (2.5)-(2.7), i.e.,…”

Section: Jhep10(2014)193mentioning

confidence: 99%

“…For ∇ µ R = 0, the latter condition is automatic. When ∇ µ R = 0, there are two possibilities: one is to start with a field whose trace is vanishing identically rather than just as an on-shell condition [36,38]. In this case, K µ 1 ...µ s−2 would never appear in the system and its reduced number of gauge identities.…”

Section: Jhep10(2014)193mentioning

confidence: 99%

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Higher-spin modes in a domain-wall universe

Kulaxizi

Rahman

2014

J. High Energ. Phys.

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We find a consistent set of equations of motion and constraints for massive higher-spin fluctuations in a gravitational background, required of certain characteristic properties but more general than constant curvature space. Of particular interest among such geometries is a thick domain wall−a smooth version of the Randall-Sundrum metric. Apart from the graviton zero mode, the brane accommodates quasi-bound massive states of higher spin contingent on the bulk mass. We estimate the mass and lifetime of these higherspin resonances, which may appear as metastable dark matter in a braneworld universe.

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Time-dependent Pais–Uhlenbeck Oscillator and Its Decomposition

Kuwabara

Yumibayashi

Harada

2016

Trends in Mathematics

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The Pais-Uhlenbeck(PU) oscillator is the simplest model with higher time derivatives. Its properties were studied for a long time. In this paper, we extend the 4th order free PU oscillator to a more non-trivial case, dubbed the 4th order time dependent PU oscillator, which has time dependent frequencies. We show that this model cannot be decomposed into two harmonic oscillators in contrast to the original PU oscillator. An interaction is added by the coordinate transformation of Smilga.

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Consistent interactions and involution

Cited by 41 publications

References 33 publications

World sheets of spinning particles

World sheets of spinning particles

Higher-spin modes in a domain-wall universe

Time-dependent Pais–Uhlenbeck Oscillator and Its Decomposition

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