Hamiltonian of Galileon field theory

Sivanesan, Vishagan

doi:10.1103/physrevd.85.084018

Cited by 11 publications

(8 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It seems that the possibility of a non-trivial embedding and the resulting boundary curvature was not considered in [28]. It might be interesting to see what effect these additional terms have on the value of the on-shell Hamiltonian calculated in [29].…”

Section: Galileon In Flat Spacementioning

confidence: 99%

Boundary terms and junction conditions for generalized scalar-tensor theories

Padilla

Sivanesan

2012

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We compute the boundary terms and junction conditions for Horndeski's panoptic class of scalartensor theories, and write the bulk and boundary equations of motion in explicitly second order form. We consider a number of special subclasses, including galileon theories, and present the corresponding formulae. Our analysis opens up of the possibility of studying tunnelling between vacua in generalized scalar-tensor theories, and braneworld dynamics. The latter follows because our results are independent of spacetime dimension.

show abstract

Section: Galileon In Flat Spacementioning

confidence: 99%

Boundary terms and junction conditions for generalized scalar-tensor theories

Padilla

Sivanesan

2012

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…However, to the best of our knowledge, a proper Hamiltonian counting of degrees of freedom in these theories, including the ones contained in the metric, has so far not been carried out (the flat spacetime limit has been analyzed in Refs. [19,20], while some other references start from a gauge-fixed action in which the gauge invariance has not been properly fixed or is explicitly broken [21][22][23][24]). In fact, the Hamiltonian analysis is complicated by the kinetic mixing (or braiding to use the wording of [25]) between the scalar and the metric, and one aim of the present work is to provide a first step towards a proper Hamiltonian treatment of Galileon-like theories.…”

Section: Introductionmentioning

confidence: 99%

Counting the degrees of freedom of generalized Galileons

2015

View full text Add to dashboard Cite

We consider Galileon models on curved spacetime, as well as the counterterms introduced to maintain the second-order nature of the field equations of these models when both the metric and the scalar are made dynamical. Working in a gauge invariant framework, we first show how all the third-order time derivatives appearing in the field equations -both metric and scalar -of a Galileon model or one defined by a given counterterm can be eliminated to leave field equations which contain at most second-order time derivatives of the metric and of the scalar. The same is shown to hold for arbitrary linear combinations of such models, as well as their k-essencelike/Horndeski generalizations. This supports the claim that the number of degrees of freedom in these models is only 3, counting 2 for the graviton and 1 for the scalar. We comment on the arguments given previously in support of this claim. We then prove that this number of degrees of freedom is strictly less that 4 in one particular such model by carrying out a full-fledged Hamiltonian analysis. In contrast to previous results, our analyses do not assume any particular gauge choice of restricted applicability.

show abstract

“…Hence, fluctuations around certain zero-energy configurations of the fields may have negative energies leading to instabilities. This is known for more general Galileon Lagrangians (see, e.g., [49,50]). Some of these instabilities can be removed by imposing the appropriate initial and boundary conditions on the fields.…”

mentioning

confidence: 90%

On Goldstone Fields with Spin Higher than 1/2

Sorokin¹

2019

Ukr. J. Phys.

View full text Add to dashboard Cite

We review the properties of 3d non-linear models of vector and vector-spinor Goldstone fields associated with the spontaneous breaking of certain higher-spin counterparts of supersymmetry (so-called Hietarinta algebras), whose Lagrangians are of the Volkov–Akulov type. At the quadratic order, these Lagrangians contain, respectively, the Chern–Simons and Rarita–Schwinger terms. The vector Goldstone model has a propagating degree of freedom which, in a decoupling limit, is a quartic Galileon scalar field (similar to those appearing in models of modified gravity). On the other hand, the vector-spinor goldstino 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, in three space-time dimensions, the free Rarita–Schwinger action is invariant under a hidden rigid symmetry generated by fermionic vector-spinor operators and acting non-linearly on the Rarita–Schwinger goldstino.

show abstract

Hamiltonian of Galileon field theory

Cited by 11 publications

References 46 publications

Boundary terms and junction conditions for generalized scalar-tensor theories

Boundary terms and junction conditions for generalized scalar-tensor theories

Counting the degrees of freedom of generalized Galileons

On Goldstone Fields with Spin Higher than 1/2

Contact Info

Product

Resources

About