Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 5 min ago
Peer-reviewedCC BY 4.0The European Physical Journal C

Hamiltonian analysis of an effective action coupled to the Palatini action in 4 dimensions

  • Ricardo Escobedo1
  • Roberto Santos-Silva2
  • Claudia Moreno3
  • Rafael Hernández-Jiménez3
  1. 1Universidad Autónoma de Puebla, BUAP
  2. 2Departamento de Ciencias Naturales y Exactas
  3. 3Departamento de Física
Open at sourcePDFDOICite

Abstract

We carry out a canonical analysis of the coupling of a 4-dimensional effective action that arises from a dimensional reduction of a 7-dimensional BF theory to the Palatini action in 4-dimensions with cosmological constant, focusing on homogeneity and isotropy in all involved fields. We employ Ostrogradsky’s methodology because of the presence of second time derivatives. Through the analysis of consistency conditions, we identify three distinct and consistent possibilities. In all these scenarios, we explore the solution of second-class constraints in terms of pairs of canonical variables. Similarly, Hamiltonian analysis is performed only for the 4-dimensional effective theory. By explicitly solving the second-class constraints in terms of the canonical coordinates, we demonstrate that one of the admissible configurations in the analysis–namely, the coupling of the effective action to the Palatini action–is fully equivalent to the case in which only the effective action is considered in the absence of gravity.

Related

  1. Towards a Connection Formulation of Action-Dependent Palatini Gravity
    Callum Bell, David Sloan
    arXivPreprintCC BY 4.0Full textGravitation & general relativityHigh-energy & particle physicsarXiv
  2. Reconstructing the Goldberg-Palatini Action from Noether Identities
    F. T. Brandt, Augusto C. B. Carvalho
    arXivPreprintCC BY 4.0Full textGravitation & general relativityHigh-energy & particle physicsarXiv
  3. Scalar QED effective action in dS: implications for primordial magnetogenesis and the running of coupling constants
    Ehsan Bavarsad, Sang Pyo Kim, Clement Stahl +1
    HALPreprintLicence not statedHigh-energy & particle physicsHAL
  4. Status and Progress of Hamiltonian Effective Field Theory in Light Hadron Spectroscopy
    Qi-Liang Xie, Qiu-Rui Wu, Zi-Jun Li +3
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  5. A low-energy effective Hamiltonian for Landau quasiparticles: II. Application to the contact Fermi gas
    Pierre-Louis Taillat, Hadrien Kurkjian
    arXivPreprintCC BY 4.0Full textAtomic, molecular & optical physicsCondensed matterarXiv

Cite

BibTeXRIS
BibTeX
@article{escobedo2026hamiltonian,
  title = {{Hamiltonian analysis of an effective action coupled to the Palatini action in 4 dimensions}},
  author = {Ricardo Escobedo and Roberto Santos-Silva and Claudia Moreno and Rafael Hernández-Jiménez},
  journal = {The European Physical Journal C},
  year = {2026},
  month = nov,
  doi = {10.1140/epjc/s10052-026-16411-7},
  url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16411-7},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Hamiltonian analysis of an effective action coupled to the Palatini action in 4 dimensions
AU  - Ricardo Escobedo
AU  - Roberto Santos-Silva
AU  - Claudia Moreno
AU  - Rafael Hernández-Jiménez
PY  - 2026
DA  - 2026/11/09
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16411-7
UR  - https://link.springer.com/article/10.1140/epjc/s10052-026-16411-7
AB  - We carry out a canonical analysis of the coupling of a 4-dimensional effective action that arises from a dimensional reduction of a 7-dimensional BF theory to the Palatini action in 4-dimensions with cosmological constant, focusing on homogeneity and isotropy in all involved fields. We employ Ostrogradsky’s methodology because of the presence of second time derivatives. Through the analysis of consistency conditions, we identify three distinct and consistent possibilities. In all these scenarios, we explore the solution of second-class constraints in terms of pairs of canonical variables. Similarly, Hamiltonian analysis is performed only for the 4-dimensional effective theory. By explicitly solving the second-class constraints in terms of the canonical coordinates, we demonstrate that one of the admissible configurations in the analysis–namely, the coupling of the effective action to the Palatini action–is fully equivalent to the case in which only the effective action is considered in the absence of gravity.
SN  - 1434-6052
ER  -