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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
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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...
Exact Lagrangians in plumbings
Exact Lagrangians plumbings Symplectic Geometry
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2011/8/22
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
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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
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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
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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
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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
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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
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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...