Makeenko-Migdal equations for lattice Yang-Mills-Higgs

Hao Shen; Scott Andrew Smith; Rongchan Zhu

doi:10.1515/ans-2023-0226

Makeenko-Migdal equations for lattice Yang-Mills-Higgs

Hao Shen^*
, Scott Andrew Smith
, Rongchan Zhu

^*此作品的通讯作者

数学学院

University of Wisconsin-Madison
Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We derive a form of master loop equations for the lattice Yang-Mills-Higgs theory with structure group SO(N), U(N) or SU(N). Compared to the pure Yang-Mills setting, several new operations arise. In fact, to obtain a closed recursion we must broaden the class of observables to include open Wilson lines. Our approach is based on the conditional Langevin dynamic and yields a concise proof via Itô's formula.

源语言	英语
期刊	Advanced Nonlinear Studies
DOI	https://doi.org/10.1515/ans-2023-0226
出版状态	已接受/待刊 - 2026

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10.1515/ans-2023-0226

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title = "Makeenko-Migdal equations for lattice Yang-Mills-Higgs",

abstract = "We derive a form of master loop equations for the lattice Yang-Mills-Higgs theory with structure group SO(N), U(N) or SU(N). Compared to the pure Yang-Mills setting, several new operations arise. In fact, to obtain a closed recursion we must broaden the class of observables to include open Wilson lines. Our approach is based on the conditional Langevin dynamic and yields a concise proof via It{\^o}'s formula.",

keywords = "Langevin dynamics, lattice Yang-Mills-Higgs, master loop equations",

author = "Hao Shen and Smith, \{Scott Andrew\} and Rongchan Zhu",

note = "Publisher Copyright: {\textcopyright} 2026 the author(s), published by De Gruyter, Berlin/Boston.",

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doi = "10.1515/ans-2023-0226",

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journal = "Advanced Nonlinear Studies",

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T1 - Makeenko-Migdal equations for lattice Yang-Mills-Higgs

AU - Shen, Hao

AU - Smith, Scott Andrew

AU - Zhu, Rongchan

PY - 2026

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N2 - We derive a form of master loop equations for the lattice Yang-Mills-Higgs theory with structure group SO(N), U(N) or SU(N). Compared to the pure Yang-Mills setting, several new operations arise. In fact, to obtain a closed recursion we must broaden the class of observables to include open Wilson lines. Our approach is based on the conditional Langevin dynamic and yields a concise proof via Itô's formula.

AB - We derive a form of master loop equations for the lattice Yang-Mills-Higgs theory with structure group SO(N), U(N) or SU(N). Compared to the pure Yang-Mills setting, several new operations arise. In fact, to obtain a closed recursion we must broaden the class of observables to include open Wilson lines. Our approach is based on the conditional Langevin dynamic and yields a concise proof via Itô's formula.

KW - Langevin dynamics

KW - lattice Yang-Mills-Higgs

KW - master loop equations

UR - https://www.scopus.com/pages/publications/105042086075

U2 - 10.1515/ans-2023-0226

DO - 10.1515/ans-2023-0226

M3 - Article

AN - SCOPUS:105042086075

SN - 1536-1365

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

ER -

Makeenko-Migdal equations for lattice Yang-Mills-Higgs

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