超出规范参数依赖：标量-张量理论中渐近安全的进一步证据
Beyond gauge-parameter dependence: Further evidence for asymptotic safety in Scalar-Tensor theories
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中文总结 AI 辅助
本研究探究标量-张量理论渐近安全框架下不动点的稳健性，采用依赖动力学标量场的规范条件，识别出符合前期研究的高斯物质类不动点，明确了临界指数的影响因素及不动点候选体的相关方向数量。
中文摘要 AI 辅助
渐近安全为将标量-张量理论量子化为非微扰可重整化量子场论提供了极具前景的框架。过去数年中，各类标量-张量模型中存在非平凡重整化群不动点的证据不断积累。本研究在计算设置发生显著修改的情况下，探究这些不动点的稳健性。特别地，我们采用了一种明确依赖于动力学标量场的规范条件，超出了文献中常用的标准线性协变规范的单纯规范参数变形范畴。通过探索不同的场参数化方式，我们在四维时空维度中识别出属于高斯物质类的不动点，其与此前的研究结果一致。与标量场质量及非最小标量-曲率耦合相关的临界指数的实部，呈现出极小的绝对值。我们全面探究了标量场的反常维度及场参数化对这些临界指数的影响，结果显示存在具有两个或四个相关方向的不动点候选体。
英文摘要
Asymptotic Safety provides a promising framework for the quantization of Scalar-Tensor theories as non-perturbatively renormalizable quantum field theories. Over the past years, growing evidence has accumulated for the existence of non-trivial renormalization group fixed points in a variety of Scalar-Tensor models. In this work, we investigate the robustness of these fixed points under significant modifications of the computational setup. In particular, we employ a gauge condition that explicitly depends on the dynamical scalar field, going beyond a mere gauge-parameter deformation of the standard linear covariant gauges commonly used in the literature. Exploring different field parameterizations, we identify fixed points belonging to the Gaussian Matter class in four spacetime dimensions that are consistent with previous studies. The real part of the critical exponents associated with the scalar-field mass and the non-minimal scalar-curvature coupling turn out to have very small absolute value. We provide a comprehensive exploration of how the anomalous dimension of the scalar field and field parameterization impact those critical exponents showing that fixed-point candidates with two or four relevant directions emerge.
发表机构
- Universidade Federal Fluminense（弗鲁米嫩塞联邦大学）
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