量子化引力场和物质场的可重整模型

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-06-06 DOI:10.1016/j.aop.2025.170101

D.G.C. McKeon , F.T. Brandt , J. Frenkel , S. Martins-Filho

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引用次数: 0

摘要

拉格朗日乘子场可用于将爱因斯坦-希尔伯特作用的辐射修正限制为单环阶。利用这一结果表明，可以将标量场耦合到度量（重子）场，从而使模型既可重整又统一。引力场的通常的爱因斯坦运动方程在经典极限中被扰动地恢复了。通过对封闭形式的适当格林函数的生成函数的求值，得到了对有效作用的一种新的解析贡献。

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A renormalizable model of quantized gravitational and matter fields

A Lagrange multiplier field can be used to restrict radiative corrections to the Einstein–Hilbert action to one-loop order. This result is employed to show that it is possible to couple a scalar field to the metric (graviton) field in such a way that the model is both renormalizable and unitary. The usual Einstein equations of motion for the gravitational field are recovered, perturbatively, in the classical limit. By evaluating the generating functional of proper Green’s functions in closed form, one obtains a novel analytic contribution to the effective action.

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.