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arXiv 2301.08464hep-ph
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用胶子质量作调节器的渐近自由

Asymptotic freedom using a gluon mass as a regulator

J. J. Galvez-Viruet, M. Gomez-Rocha

摘要:

前形哈密顿动力学提供了一个框架,其中QCD的真空是简单的,状态是升压不变的。然而,规范表达式是发散的,必须加以调节,以建立定义良好的特征值问题。有效粒子的重整化群方法(RGPEP)提供了一种寻找反项和获得规范哈密顿量的系统方法。它的成就之一是描述了渐近自由,其中运行的耦合常数定义为调节哈密顿量中三个胶子顶点算符前面的系数。然而,所得到的结果需要更深入的理解,因为耦合表现出有限的依赖于正则化函数,至少在三阶项的微扰展开。在这里,我们提出了一个类似的推导使用不同的正则化计划的基础上大量胶子。该过程可以扩展到包含虚拟费米子的贡献。

英文摘要:

Front-Form Hamiltonian dynamics provides a framework in which QCD's vacuum is simple and states are boost invariant. However, canonical expressions are divergent and must be regulated in order to establish well-defined eigenvalue problems. The Renormalization Group Procedure for Effective Particles (RGPEP) provides a systematic way of finding counterterms and obtaining regulated Hamiltonians. Among its achievements is the description of asymptotic freedom, with a running coupling constant defined as the coefficient in front of the three gluon-vertex operators in the regulated Hamiltonian. However, the obtained results need a deeper understanding, since the coupling exhibits a finite dependence on the regularization functions, at least at the third-order term in the perturbative expansion. Here we present a similar derivation using a different regularization scheme based on massive gluons. The procedure can be extended to incorporate contributions from virtual fermions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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