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arXiv · 1510.05496

Unifying Ghost-Free Lorentz-Invariant Lagrangians

Wenliang Li
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Abstract

We present the details of the novel framework for Lagrangian field theories that are Lorentz-invariant and lead to at most second order equations of motion. The use of antisymmetric structure is of crucial importance. The general ghost-free Lagrangians are constructed and then translated into the language of differential forms. The ghost-freeness has a geometric nature. A novel duality is proposed which generalizes the Hodge duality in Maxwell's theory. We discuss how the well-established theories are reformulated and propose many new theories.

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Wenliang Li. 2015-10-22. Unifying Ghost-Free Lorentz-Invariant Lagrangians. https://arxiv.org/abs/1510.05496

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