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On Third Order Lagrangians, Weyl Invariants & Classical Trace Anomaly in Six Dimensions
Higher Order Gravities Non–Linear Lagrangians Weyl Invariants Heat Kernel Coefficients Lovelock Lagrangian
2011/9/29
Abstract: We have proceeded the analogy of Einstein tensor and alternative form of Einstein field equations for generic coefficients of eight terms in third order of Lovelock Lagrangian. We have found...
Abstract: Consider a Stein manifold M obtained by plumbing cotangent bundles of manifolds of dimension greater than or equal to 3 at points. We prove that the Fukaya category of closed exact Lagrangia...
Linear space of spinor monomials and realization of the Nambu-Goldstone fermion in the Volkov-Akulov and Komargodski-Seiberg Lagrangians
Linear space of spinor monomials realization Nambu-Goldstone fermion Volkov-Akulov Komargodski-Seiberg Lagrangians
2011/3/2
The analytical algorithm previously proposed by the author for matching the Volkov-Akulov (VA) and Komargodski-Seiberg (KS) actions describing the Nambu-Goldstone (NG) fermion, is discussed.
Characterization of the Lovelock-Palatini Lagrangians with an arbitrary connection
Characterization Lovelock-Palatini Lagrangians arbitrary connection
2011/3/2
We define the concept of Levi Civita truncation for a Lagrangian in the Palatini formulation with an arbitrary connection, and show that its consistency uniquely identifies the Lovelock Lagrangians.
Path Integrals for Quadratic Lagrangians on p-Adic and Adelic Spaces
Path Integrals Quadratic Lagrangians p-Adic Adelic Spaces
2010/12/27
Feynman's path integrals in ordinary, p-adic and adelic quantum mechanics are considered. The corresponding probability amplitudes $ K(x^{"},t^{"};x',t')$ for two-dimensional systems with quadratic L...
Higher Spin Interacting Quantum Field Theory and Higher Order Conformal Invariant Lagrangians
Quantum Field Theory Conformal Invariant Lagrangians
2010/12/22
This thesis includes several original results. All of them are already published or submitted for publication. I present here the short summary of main results: The ultraviolet singular structure of t...
Canonical Formalism for Lagrangians of Maximal Nonlocality
nonlocality Hamiltonian instability
2007/8/15
2004Vol.42No.5pp.715-722DOI:
Canonical Formalism for Lagrangians of Maximal Nonlocality
CHEN Hang-Hui and ZHENG Han-Qing
Department of Physics, Peking University, Beiji...
Canonical Treatment of Regular Lagrangians with Holonomic Constraints as Singular Systems
Regular Lagrangians Holonomic Constraints Singular Systems
2010/4/15
Regular Lagrangians with holomonic constraints are treated as singular systems using the canonical method. The Lagrange multipliers are introduced as generalized coordinates. The regular Lagrangians a...