Presymplectic structures and intrinsic Lagrangians for massive fields
From MaRDI portal
Publication:2075586
DOI10.1016/j.nuclphysb.2022.115686zbMath1485.83004arXiv2109.05596OpenAlexW3199951493MaRDI QIDQ2075586
Maxim Grigoriev, Vyacheslav Gritzaenko
Publication date: 14 February 2022
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.05596
Symplectic manifolds (general theory) (53D05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Orbital mechanics (70M20) Equations of motion in general relativity and gravitational theory (83C10) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Higher spin theories (81T11)
Related Items
Variational tricomplex, global symmetries and conservation laws of gauge systems ⋮ On the phase space of free higher-spin theories and conformal transformations ⋮ Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles ⋮ Minimal models of field theories: SDYM and SDGR ⋮ Notes on the \(L_\infty\)-approach to local gauge field theories ⋮ On auxiliary fields and Lagrangians for relativistic wave equations ⋮ Lagrangian formalism and the intrinsic geometry of PDEs ⋮ Internal Lagrangians of PDEs as variational principles
Cites Work
- Parent formulation at the Lagrangian level
- First order parent formulation for generic gauge field theories
- Geometry of jet spaces and integrable systems
- A symplectic framework for field theories
- Equations of motion, commutation relations and ambiguities in the Lagrangian formalism
- Local BRST cohomology in gauge theories
- Parent formulations, frame-like Lagrangians, and generalized auxiliary fields
- Presymplectic AKSZ formulation of Einstein gravity
- Higher spin gravities and presymplectic AKSZ models
- Massive gravity
- Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories
- Path-integral equivalence between the extended and nonextended Hamiltonian formalisms
- Extendable symplectic structures and the inverse problem of the calculus of variations for systems of equations written in generalized Kovalevskaya form
- The Geometry of the Master Equation and Topological Quantum Field Theory
- Frame-like Lagrangians and presymplectic AKSZ-type sigma models
- On the inverse problem of the calculus of variations in field theory
- Multisymplectic structures and the variational bicomplex
- Presymplectic current and the inverse problem of the calculus of variations
- Multisymplectic conservation laws for differential and differential-difference equations
- On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
- Gauge PDE and AKSZ‐type Sigma Models
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item