晶格杨-米尔斯有限 N 主环方程的新推导

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-01 DOI:10.1214/24-ejp1090

Hao Shen, Scott A. Smith, Rongchan Zhu

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引用次数: 0

摘要

.我们给出了结构群为 SO ( N ) 、U ( N ) 或 SU ( N ) 的晶格杨-米尔斯理论的非 N 主环方程的新推导。SO ( N ) 的情况最初由查特吉在[Cha19a]中证明，而 SU ( N ) 则由贾法洛夫在后续工作[Jaf16]中分析。我们的方法基于朗之文动态，即构型流形上的 SDE，并通过伊特奥公式得到了简单的证明。

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A new derivation of the finite N master loop equation for lattice Yang-Mills

. We give a new derivation of the ﬁnite N master loop equation for lattice Yang-Mills theory with structure group SO ( N ), U ( N ) or SU ( N ). The SO ( N ) case was initially proved by Chatterjee in [Cha19a], and SU ( N ) was analyzed in a follow-up work by Jafarov [Jaf16]. Our approach is based on the Langevin dynamic, an SDE on the manifold of conﬁgurations, and yields a simple proof via Itˆo’s formula.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.