Covariant-differential formulation of Lagrangian field theory
نویسندگان
چکیده
منابع مشابه
Covariant Hamiltonian Field Theory
A consistent, local coordinate formulation of covariant Hamiltonian field theory is presented. Whereas the covariant canonical field equations are equivalent to the EulerLagrange field equations, the covariant canonical transformation theory offers more general means for defining mappings that preserve the form of the field equations than the usual Lagrangian description. It is proved that Pois...
متن کاملCovariant Formulation of M-Theory II
We propose a supersymmetric model that defines M-theory. It possesses SO(1, 10) super Poincare symmetry and is constructed based on the Lorentzian 3-algebra associated with U(N) Lie algebra. This model is a supersymmetric generalization of the model in arXiv:0902.1333. From our model, we derive BFSS matrix theory and IIB matrix model in the naive large N limit by taking appropriate BPS vacua. 1...
متن کاملLagrangian Formulation of the Electromagnetic Field
This paper will, given some physical assumptions and experimentally verified facts, derive the equations of motion of a charged particle in an electromagnetic field and Maxwell’s equations for the electromagnetic field through the use of the calculus of variations.
متن کاملLagrangian quantum field theory
I analyse the conceptual and mathematical foundations of Lagrangian quantum field theory (that is, the ‘naive’ quantum field theory used in mainstream physics, as opposed to algebraic quantum field theory). The objective is to see whether Lagrangian quantum field theory has a sufficiently firm conceptual and mathematical basis to be a legitimate object of foundational study, or whether it is to...
متن کاملThe n-symplectic Algebra of Observables in Covariant Lagrangian Field Theory‡
n-symplectic geometry on the adapted frame bundle λ : LπE → E of an n = (m + k)-dimensional fiber bundle π : E → M is used to set up an algebra of observables for covariant Lagrangian field theories. Using the principle bundle ρ : LπE → Jπ we lift a Lagrangian L : Jπ → R to a Lagrangian L := ρ∗(L) : LπE → R, and then use L to define a ”modified n-symplectic potential” θ̂L on LπE, the Cartan-Hami...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2018
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887818501335