PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
April 1, 20260 citationsOpen Access

Gauge problem of monopole dynamics in SU(2) lattice gauge theory

恒鈴恒雄 鈴木SIShoichi ItoSKShun-ichi Kitahara

Key Points

  • The research aims to investigate the gauge problem associated with monopole dynamics in SU(2) lattice gauge theory.
  • Analyzed Abelian and monopole contributions to the static potential in various gauges.
  • Compared results from Laplacian Abelian, maximally Abelian Wilson loop, and L-type gauges to the maximally Abelian gauge.
  • Utilized inverse Monte Carlo methods and block spin transformations to assess effective monopole actions and RG flow.
  • All gauge choices accurately reproduce the string tension consistent with SU(2) theory.
  • Unique RG flow curves suggest gauge independence in the infrared region.

Abstract

The gauge problem of monopole dynamics is studied in SU(2) lattice gauge theory. We study first the Abelian and monopole contributions to the static potential in four smooth gauges, i.e., the Laplacian Abelian, maximally Abelian Wilson loop, and L-type gauges in comparison with the maximally Abelian (MA) gauge. They all reproduce the string tension in good agreement with the SU(2) string tension. The MA gauge is not the only choice of a good gauge which is suitable for the color confinement mechanism. Using an inverse Monte Carlo method and block spin transformation, we determine the effective monopole actions and the renormalization group (RG) flows of its coupling constants in various Abelian projection schemes. Every RG flow appears to converge to a unique curve which suggests gauge independence in the infrared region. © 2003 The American Physical Society.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

鈴木 et al. (2003) studied this question.

synapsesocial.com/papers/69cd7a3e5652765b073a73a9https://doi.org/10.24517/00028517
Ask AI
Helpful
Bookmark
Share
View Full Paper

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1CONDENSATE OF ABELIAN MONOPOLES AND CONFINEMENT IN LATTICE GAUGE THEORIES1991
  2. 2Topological data analysis of monopole current networks in $U(1)$ lattice gauge theory2024 · 2 citations
  3. 3Plaquette-Deviation Functionals, Non-Abelian Excess Channels, and Finite-Size Scaling Diagnostics in SU(2) Lattice Yang–Mills Theory2025
  4. 4Effective Abelian lattice gauge field theories for scalar-matter-monopole interactions2024 · 3 citations
  5. 5Topological data analysis of monopole current networks in $U(1)$ lattice gauge theory2024 · 1 citations