从非唯一性原理看实数标量场和费米子场的非标准拉格朗日

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-10-24 DOI:10.1134/S0040577924100076

S. Supanyo, M. Tanasittikosol, S. Yoo-Kong

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引用次数: 0

摘要

我们通过反演变分法为同质标量场和费米子场构建了一个非标准拉格朗日，称为乘法形式，其运动方程仍然满足各自的克莱因-戈登方程和狄拉克方程。通过利用拉格朗日的非唯一性，我们证明拉格朗日可以写成标准拉格朗日和非标准拉格朗日的线性组合。利用这些新的拉格朗日，我们讨论了幽灵场的稳定性、宇宙常数的非自然微小性以及手性凝聚态。

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Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle

We construct a nonstandard Lagrangian, called the multiplicative form, for a homogeneous scalar field and a fermion field via the inverse calculus of variations with the equations of motion that still satisfy the respective Klein–Gordon and Dirac equations. By employing the nonuniqueness of the Lagrangian, we show that the Lagrangians can be written as linear combinations of the standard and nonstandard Lagrangians. The stability of the ghost field, an unnatural smallness of the cosmological constant, and the chiral condensate are discussed by using these new Lagrangians.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.