On interactions of massless spin 3 and scalar fields

Lavrov, P. M.

doi:10.48550/arxiv.2208.05700

Cited by 3 publications

(6 citation statements)

References 20 publications

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“…It was shown that cubic vertices invariant under original gauge transformations are forbidden while local gauge-invariant quartic vertices are explicitly found. In the present paper, we extend the results [35,36] up to quintic vertices.…”

Section: Introductionsupporting

confidence: 76%

“…describing interactions among the massless spin 3 and real scalar fields in the fifth order. By the same reasons explained in [35,36], the gauge algebra does not deform under special anticanonical transformations (3) so that the deformed action is invariant under gauge transformations (2), δ S[ϕ, φ] = 0. Due to the locality of original gauge transformations, the action S 3 loc [ϕ, φ] should be also gauge-invariant, δS 3 loc [ϕ, φ] = 0.…”

Section: Vertices ∼ ϕφφφφmentioning

confidence: 99%

“…In this section, we are going to continue the research of possible interactions among massless spin 3 field, ϕ µνλ = ϕ µνλ (x), and a real scalar field, φ = φ(x), in flat Minkowski space of the dimension d with the metric tensor η µν that was started in [35]. We begin with the initial action…”

Section: Vertices ∼ ϕφφφφmentioning

confidence: 99%

“…From the point of view of the old approach based on the Noether procedure, this method seems as an explicit summation of the infinite Taylor series in deformation parameter leading to compact presentation of the deformed action and deformed gauge algebra. Analysis of simple gauge systems including massless spin 3, massive vector and real scalar fields within the new approach allowed us to study situations when in the process of deformation the original gauge symmetry does not deform [35,36]. It was shown that cubic vertices invariant under original gauge transformations are forbidden while local gauge-invariant quartic vertices are explicitly found.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Quintic vertices of spin 3, vector and scalar fields

Lavrov¹,

Mudruk²

2022

Preprint

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Section: Introductionsupporting

confidence: 76%

Section: Vertices ∼ ϕφφφφmentioning

confidence: 99%

Section: Vertices ∼ ϕφφφφmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quintic vertices of spin 3, vector and scalar fields

Lavrov¹,

Mudruk²

2022

Preprint

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“…In the framework of the BRST approach, the higher spin fields appear as the coefficients in the vectors of the Fock Footnote 1 continued to construct the higher spin field vertices [37,38]. We also point out a new approach to problem of locality in the higher spin field theory that can be related with a structure of the interaction vertices [39].…”

Section: Brst Charge and Free Lagrangianmentioning

confidence: 99%

Cubic interactions of d4 irreducible massless higher spin fields within BRST approach

2022

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We develop an approach to constructing the manifestly Lorentz covariant cubic interaction vertices for the four-dimensional massless higher spin bosonic fields with two-component dotted and undotted spinor indices. Such fields automatically satisfy the traceless conditions what simplify form of the equations determining the irreducible massless representation of the Poincaré group with given helicity. The cubic vertex is formulated in the framework of the BRST approach to higher spin field theory. Use of the above spin-tensor fields allows to simplify a form of the BRST-charge and hence to find the cubic vertices just in terms of irreducible higher spin fields. We derive an equation for the cubic vertex and find solutions for arbitrary spins $$s_1,s_2,s_3$$ s 1 , s 2 , s 3 with the number of derivatives $$s_1+s_2+s_3$$ s 1 + s 2 + s 3 in the vertex. As an example, we explicitly construct a vertex corresponding to the interaction of a higher spin field with scalars.

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BRST-BV approach for interacting higher spin fields

Reshetnyak¹

2023

Preprint

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We develop the BRST-BV approach to construct the general off-shell Lorentz covariant cubic, quartic, e-tic interaction vertices for irreducible higher spin fields on d-dimensional Minkowski space. We consider two different cases for interacting integer higher spin fields both with massless and with massive fields. The deformation procedure to find minimal (determined with help of generalized Hilbert space) BRST-BV action for interacting higher spin fields is based on the preservation of master equation validity in each power of coupling constant g starting from the Lagrangian formulation for free gauge theory. As examples we consider the construction of local cubic vertices for k irreducible massless fields of integer helicities, and k − 1 massless with one massive fields of spins s 1 , , ..., s k−1 , s k . For triple of two massless scalars and tensor field of integer spin the BRST-BV action with cubic interaction is explicitly found. Unlike the previous results on cubic vertices we follow our result for BRST approach [18] for massless fields, but for the unique BRST-BV action instead of classical action with reducible gauge transformations. The procedure is based on the complete BRST operator, including the trace constraints that is used to formulate an irreducible representation with definite integer spin.

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On interactions of massless spin 3 and scalar fields

Cited by 3 publications

References 20 publications

Quintic vertices of spin 3, vector and scalar fields

Quintic vertices of spin 3, vector and scalar fields

Cubic interactions of d4 irreducible massless higher spin fields within BRST approach

BRST-BV approach for interacting higher spin fields

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