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arXiv · 2306.03396

The non-standard Lagrangian from non-uniqueness principle of the real scalar field and fermion field

Suppanat Supanyo·Monsit Tanasittikosol·Sikarin Yoo-Kong
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Abstract

We construct the non-standard Lagrangian, called the multiplicative form, of the homogeneous scalar field and fermion field through the inverse calculus of variations, which the equation of motion still satisfies the Klein-Gordon and Dirac equations, respectively. By employing the non-uniqueness of Lagrangian, we show that the Lagrangians can be written between the linear combination of standard and non-standard Lagrangian. The stability of the ghost field, an unnatural smallness of cosmological constant, and the chiral condensate are discussed by applying these new Lagrangians.

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Suppanat Supanyo, Monsit Tanasittikosol, Sikarin Yoo-Kong. 2023-06-06. The non-standard Lagrangian from non-uniqueness principle of the real scalar field and fermion field. https://arxiv.org/abs/2306.03396

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