On the global dynamics of Yang-Mills-Higgs equations

DOI10.1007/s00220-023-04881-9arXiv2203.12143WikidataQ129963979 ScholiaQ129963979MaRDI QIDQ6143297

Shiwu Yang, Pin Yu, Dongyi Wei

Publication date: 23 January 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.12143

zbMATH Keywords

Minkowski spaceYang-Mills-Higgs equationsMaxwell-Klein-Gordon system

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) PDEs in connection with quantum mechanics (35Q40) PDEs in connection with relativity and gravitational theory (35Q75) Hyperbolic equations on manifolds (58J45) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Global stability for charged scalar fields in an asymptotically flat metric in harmonic gauge

Cites Work

• Unnamed Item
• Unnamed Item
• Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation
• Local well-posedness of Yang-Mills equations in Lorenz gauge below the energy norm
• Decay of solutions of Maxwell-Klein-Gordon equations with arbitrary Maxwell field
• Null structure and local well-posedness in the energy class for the Yang-Mills equations in Lorenz gauge
• The scattering of certain Yang-Mills fields
• The Yang-Mills equations on the universal cosmos
• Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions
• Decay of a Yang-Mills field coupled to a scalar field
• Some global solutions of the Yang-Mills equations in Minkowski space
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof
• Asymptotic properties of the solutions of linear and nonlinear spin field equations in Minkowski space
• The asymptotic behavior of Yang-Mills fields in the large
• Decay of classical Yang-Mills fields
• Decay estimates for spherically symmetric Yang-Mills fields in Minkowski space-time
• On the Maxwell-Klein-Gordon equation with finite energy
• Global existence of solutions of the Yang-Mills equations on globally hyperbolic four dimensional Lorentzian manifolds
• Infinite energy solutions for the \((3+1)\)-dimensional Yang-Mills equation in Lorenz gauge
• Concentration compactness for the critical Maxwell-Klein-Gordon equation
• The decay of the \(S U(2)\) Yang-Mills fields on the Schwarzschild black hole for spherically symmetric small energy initial data
• Asymptotic properties of solutions of the Maxwell Klein Gordon equation with small data
• On the global behavior of solutions of the Maxwell-Klein-Gordon equations
• Asymptotic behavior of the Maxwell-Klein-Gordon system
• Local well-posedness of the Yang--Mills equation in the temporal gauge below the energy norm
• Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\)
• The threshold conjecture for the energy critical hyperbolic Yang-Mills equation
• Pointwise decay for semilinear wave equations in \(\mathbb{R}^{1+3}\)
• On global dynamics of the Maxwell-Klein-Gordon equations
• Finite energy global well-posedness of the Yang-Mills equations on \(\mathbb{R}^{1+3}\): an approach using the Yang-Mills heat flow
• Mathematical problems of general relativity. I.
• The global non-blow-up of the Yang–Mills curvature on curved space-times
• Low Regularity Well-Posedness for the Yang--Mills System in Fourier--Lebesgue Spaces
• Global stability for charged-scalar fields on Minkowski space
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• A KIRCHOFF–SOBOLEV PARAMETRIX FOR THE WAVE EQUATION AND APPLICATIONS
• Global solutions of Yang-Mills field equations
• Global solutions of nonlinear hyperbolic equations for small initial data
• Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions
• On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹
• Almost optimal local well-posedness for the (3+1)-dimensional Maxwell–Klein–Gordon equations
• Large data decay of Yang–Mills–Higgs fields on Minkowski and de Sitter spacetimes
• Finite Energy Local Well-Posedness for the Yang–Mills–Higgs Equations in Lorenz Gauge