An Energy Gap for Complex Yang-Mills Equations

被引：3

作者：

Huang, Teng ^{[1
,2
]}

机构：

[1] Chinese Acad Sci, Key Lab Wu Wen Tsun Math, Beijing, Peoples R China

[2] Univ Sci & Technol China, Sch Math Sci, Beijing, Peoples R China

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2017年 / 13卷

关键词：

complex Yang-Mills equations; energy gap; gauge theory; CLOSED RIEMANNIAN-MANIFOLDS; CONNECTIONS; FIELDS; 4-MANIFOLDS; STABILITY;

D O I：

10.3842/SIGMA.2017.061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the energy gap result of pure Yang-Mills equation [Feehan P.M.N., Adv. Math. 3 1 2 (2017), 547-587] to prove another energy gap result of complex Yang-Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point Theory Appl. 1 1 (2012), 185-198], when Riemannian manifold X of dimension n >= 2 satisfies certain conditions.

引用

页数：15

共 50 条

[41] Index-Energy Estimates for Yang-Mills Connections and Einstein Metrics
Gursky, Matthew J.
Kelleher, Casey Lynn
Streets, Jeffrey
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 376 (01) : 117 - 143
[42] Entropy, stability, and Yang-Mills flow
Kelleher, Casey
Streets, Jeffrey
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2016, 18 (02)
[43] Monopoles and vortices in Yang-Mills plasma
M. N. Chernodub
V. I. Zakharov
Physics of Atomic Nuclei, 2009, 72 : 2136 - 2145
[44] MAGNETOFLID UNIFICATION IN YANG-MILLS LAGRANGIAN
Sulaiman, A.
Fajarudin, A.
Djun, T. P.
Handoko, L. T.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2009, 24 (18-19): : 3630 - 3637
[45] Yang-Mills theory from the worldsheet
Adamo, Tim
Casali, Eduardo
Nekovar, Stefan
PHYSICAL REVIEW D, 2018, 98 (08):
[46] Instantons and singularities in the Yang-Mills flow
Waldron, Alex
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 55 (05)
[47] Higher order Yang-Mills flow
Kelleher, Casey
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 58 (03)
[48] Maximally supersymmetric Yang-Mills on the lattice
Schaich, David
Catterall, Simon
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2017, 32 (36):
[49] Static spherically symmetric solutions of the SO(5) Einstein Yang-Mills equations
Bartnik, Robert
Fisher, Mark
Oliynyk, Todd A.
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (03)
[50] Geometric analysis of the Yang-Mills connections over compact Kähler surfaces
Huang, Teng
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2024, 63 (09)

← 1 2 3 4 5 →