Classical and quantum theory of the massive spin-two field

Koenigstein, Adrian; Giacosa, Francesco; Rischke, Dirk H.

doi:10.1016/j.aop.2016.01.024

Cited by 20 publications

(21 citation statements)

References 39 publications

(79 reference statements)

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“…The FP conditions (4), (5) and (6) guarantee the correct number of 5 degrees of freedom consistent with 5 ¼ 2s þ 1, see [23] for a recent derivation of the FP conditions from first principles.…”

Section: A Main Results In the Flat Spacementioning

confidence: 99%

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Nonsymmetric tensor description of massive spin-2 particles in a curved background

Dalmazi

Fortes

2017

Phys. Rev. D

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Section: A Main Results In the Flat Spacementioning

confidence: 99%

“…It corresponds to four constraints, in total. The same does not occur in expressions (23) and (24). First, let us turn (24) into a scalar constraint.…”

Section: General Setup and Constraintsmentioning

confidence: 99%

Nonsymmetric tensor description of massive spin-2 particles in a curved background

Dalmazi

Fortes

2017

Phys. Rev. D

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“…contains the usual kinetic terms of all relevant nonets (for the tensor fields, see again Ref. [19]), while the interaction term is the sum of the two interaction Lagrangians presented above. The interaction Lagrangians outlined above can be considered as the dominant terms in the large-N c and flavour breaking expansions.…”

Section: The Interaction Lagrangians and Tree-level Decay Widthmentioning

confidence: 99%

Phenomenology of pseudotensor mesons and the pseudotensor glueball

Koenigstein

Giacosa

2016

Eur. Phys. J. A

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We study the decays of the pseudotensor mesons [π2 (1670), K2(1770), η2(1645), η2(1870)] interpreted as the ground-state nonet of 1 1 D2qq states using interaction Lagrangians which couple them to pseudoscalar, vector, and tensor mesons. While the decays of π2(1670) and K2(1770) can be well described, the decays of the isoscalar states η2(1645) and η2 (1870) can be brought in agreement with the present experimental data only if the mixing angle between nonstrange and strange states is surprisingly large (about −42 • , similar to the mixing in the pseudoscalar sector, in which the chiral anomaly is active). Such a large mixing angle is however at odd with all other conventional quark-antiquark nonets: if confirmed, a deeper study of its origin will be needed in the future. Moreover, theqq assignment of pseudotensor states predicts that the ratio [η2(1870) → a2(1320) π]/[η2(1870) → f2 (1270) η] is about 23.5. This value is in agreement with Barberis et al., (20.4 ± 6.6), but disagrees with the recent reanalysis of Anisovich et al., (1.7 ± 0.4). Future experimental studies are necessary to understand this puzzle. If Anisovich's value shall be confirmed, a simple nonet of pseudoscalar mesons cannot be able to describe data (different assignments and/or additional state, such as an hybrid state, will be needed). In the end, we also evaluate the decays of a pseudoscalar glueball into the aforementioned conventionalqq states: a sizable decay into K * 2 (1430) K and a2(1230) π together with a vanishing decay into pseudoscalar-vector pairs [such as ρ(770) π and K * (892) K] are expected. This information can be helpful in future studies of glueballs at the ongoing BESIII and at the future PANDA experiments. arXiv:1608.08777v2 [hep-ph] 15 Dec 2016 2 THE MODEL 2 parity P are connected by chiral transformations. For instance, scalar (1 3 P 0 , J P C = 0 ++ ) and pseudoscalar mesons (1 1 S 0 , J P C = 0 −+ ) as well as vector (1 3 S 1 , J P C = 1 −− ) and axial-vector mesons (1 3 P 1 , J P C = 1 ++ ) are chiral partners, e.g. Ref. [4]. In addition to explicit breaking, chiral symmetry is -even more importantly -also broken spontaneously,pseudoscalar mesons (e.g., the pions) are the corresponding quasi-Goldstone bosons. Tensor mesons (1 3 P 2 , J P C = 2 ++ ) are another example of a very well-understoodqq nonet: their decays fit nicely into this scheme [2,[5][6][7]. The chiral partners of tensor mesons, the pseudotensor mesons (1 1 D 2 , J P C = 2 −+ ), are not so well understood, e.g. Refs. [8,9] and Refs. therein. The standard assignment [1,2] contains the isotriplet state π 2 (1670), the isodoublet states K 2 (1770), and the isoscalar states η 2 (1645) and η 2 (1870). We plan to study the decays of these resonances in order to test the validity of this assignment and to investigate the mixing in the isoscalar sector. To this end, we build two effective interaction Lagrangians which describe the decays of pseudotensor states into vector-pseudoscalar and into tensor-pseudoscalar pairs. The isotriplet and isodoublet states ...

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“…The calculation is similar yet more lengthy due to non-commutating objects. The generalization of the underlying massive matter to Dirac, Proca, Rarita-Schwinger, or even higher spin fields [8,12] does not change the formalism, since only the underlying global symmetry determines the actual gauging procedure.…”

Section: Nonetheless There Are Still Open Questionsmentioning

confidence: 99%

Gauge theory by canonical transformations

Koenigstein

Kirsch

Stoecker

et al. 2016

Int. J. Mod. Phys. E

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Electromagnetism, the strong and the weak interaction are commonly formulated as gauge theories in a Lagrangian description. In this paper we present an alternative formal derivation of U (1)-gauge theory in a manifestly covariant Hamilton formalism. We make use of canonical transformations as our guiding tool to formalize the gauging procedure. The introduction of the gauge field, its transformation behaviour and a dynamical gauge field Lagrangian/Hamiltonian are unavoidable consequences of this formalism, whereas the form of the free gauge Lagrangian/Hamiltonian depends on the selection of the gauge dependence of the canonically conjugate gauge fields.

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Classical and quantum theory of the massive spin-two field

Cited by 20 publications

References 39 publications

Nonsymmetric tensor description of massive spin-2 particles in a curved background

Nonsymmetric tensor description of massive spin-2 particles in a curved background

Phenomenology of pseudotensor mesons and the pseudotensor glueball

Gauge theory by canonical transformations

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