Goldstone’s theorem and Hamiltonian of multi-Galileon modified gravity

Zhou, Shuang-Yong

doi:10.1103/physrevd.83.064005

Cited by 19 publications

(17 citation statements)

References 56 publications

(109 reference statements)

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“…where H.c. means the Hermitian conjugate of the previous terms, are different from the 4 term of (18). Nevertheless, thanks to the antisymmetrization dressing, these terms do not give rise to higher order derivative terms in the equations of motion, as one may explicitly check.…”

Section: Nonminimal Gauging and General Representationsmentioning

confidence: 98%

“…We want a Lagrangian whose equations of motion contain at most second order derivatives and reduce to the Lagrangian (18) in the flat space approximation. This Lagrangian is given by…”

Section: Gauged Galileons In a Curved Backgroundmentioning

confidence: 99%

“…In [16], p-form Galileon models have been proposed where the Galileon scalars are generalized to be differential forms. In certain braneworld scenarios, if a higher codimensional bulk has some global symmetry, or isometry, the resulting 4D effective Galileon model may inherit this symmetry, leading to a Galileon model with global internal symmetry [9,[17][18][19]. Indeed, in this case, the galilean field symmetry and the internal symmetry can both come from the bulk Poincaré symmetry.…”

Section: Introductionmentioning

confidence: 99%

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Galileons with Gauge Symmetries

Zhou

Copeland

2012

Phys. Rev. D

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Galileon models arise in certain braneworld scenarios as modifications to General Relativity, and are also interesting as field theories in their own right. We show how the galileon model can be naturally generalized to include local gauge symmetries, by allowing for couplings to Yang-Mills fields. The resulting theories have at most second order spacetime derivatives in any representation of the gauge group, thereby avoiding Ostrogradski ghosts. We also extend the models to include curved space, and show how in that case we need to include non-minimal couplings between the galileons and the curvature tensors for the theory to retain its second order nature.Comment: 9 pages, minor changes, to appear in PR

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Section: Nonminimal Gauging and General Representationsmentioning

confidence: 98%

“…We want a Lagrangian whose equations of motion contain at most second order derivatives and reduce to the Lagrangian (18) in the flat space approximation. This Lagrangian is given by…”

Section: Gauged Galileons In a Curved Backgroundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Galileons with Gauge Symmetries

Zhou

Copeland

2012

Phys. Rev. D

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“…Equation (3.35) is the three-dimensional counterpart of the quartic Galileon term in the Hamiltonian of the generic D = 4 Galileon theory derived in [56,57]. Let us look at the value of this Hamiltonian for fluctuations around a simple static solutionφ 0 = 1 2 x i x i , pφ = 0 (whose Hamiltonian, and hence energy, is zero)…”

Section: Hamiltonian Analysis Of the Vector Goldstone Modelmentioning

confidence: 99%

Can Chern-Simons or Rarita-Schwinger be a Volkov-Akulov Goldstone?

Bansal

Sorokin

2018

J. High Energ. Phys.

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We study three-dimensional non-linear models of vector and vector-spinor Goldstone fields associated with the spontaneous breaking of certain higher-spin counterparts of supersymmetry whose Lagrangians are of a Volkov-Akulov type. Goldstone fields in these models transform non-linearly under the spontaneously broken rigid symmetries. We find that the leading term in the action of the vector Goldstone model is the Abelian Chern-Simons action whose gauge symmetry is broken by a quartic term. As a result, the model has a propagating degree of freedom which, in a decoupling limit, is a quartic Galileon scalar field. The vector-spinor goldstino model turns out to be a non-linear generalization of the three-dimensional Rarita-Schwinger action. In contrast to the vector Goldstone case, this non-linear model retains the gauge symmetry of the Rarita-Schwinger action and eventually reduces to the latter by a non-linear field redefinition. We thus find that the free Rarita-Schwinger action is invariant under a hidden rigid supersymmetry generated by fermionic vector-spinor operators and acting non-linearly on the Rarita-Schwinger 1 Strictly speaking, as is well known, in D = 3 massless representations of the Poincaré group are spinless. However, as is often adopted in higher-spin literature for any space-time dimension, we loosely call symmetric tensor fields A a1...as of rank s as integer spin-s fields and symmetric-tensor spinor fields Ψ α a1...as as half-integer spin s + 1 2 fields.

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“…In this paper we derive the Hamiltonian for a single galileon field living in Minkowski background spacetime with an arbitrary time-like boundary at spatial infinity. This has previously been done for multi-galileons without taking into account the boundary contribution [5]. Here we keep careful track of all the boundary terms and investigate the energy of the static spherically symmetric galileon field at cubic order sourced by a point-mass at the origin.…”

Section: Introductionmentioning

confidence: 99%

Hamiltonian of Galileon field theory

Sivanesan

2012

Phys. Rev. D

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We give a detailed calculation for the Hamiltonian of single galileon field theory, keeping track of all the surface terms. We calculate the energy of static, spherically symmetric configuration of the single galileon field at cubic order coupled to a point-source and show that the 2-branches of the solution possess energy of equal magnitude and opposite sign, the sign of which is determined by the coefficient of the kinetic term α2. Moreover the energy is regularized in the short distance (ultra-violet) regime by the dominant cubic term even though the source is divergent at the origin. We argue that the origin of the negativity is due to the ghost-like modes in the corresponding branch in the presence of the point source. This seems to be a non-linear manifestation of the ghost instability. * ppxvs@nottingham.ac.uk arXiv:1111.3558v1 [hep-th]

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Goldstone’s theorem and Hamiltonian of multi-Galileon modified gravity

Cited by 19 publications

References 56 publications

Galileons with Gauge Symmetries

Galileons with Gauge Symmetries

Can Chern-Simons or Rarita-Schwinger be a Volkov-Akulov Goldstone?

Hamiltonian of Galileon field theory

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