scholarly journals Continuum strong-coupling expansion of Yang-Mills theory: quark confinement and infra-red slavery

1994 ◽  
Vol 418 (1-2) ◽  
pp. 113-130 ◽  
Author(s):  
Paul Mansfield
Keyword(s):  
Strong Coupling ◽  
Strong Coupling Expansion ◽  
Quark Confinement ◽  
Yang Mills ◽  
Infra Red

scholarly journals Lattice study of area law for double-winding Wilson loops

2018 ◽  
Vol 175 ◽  
pp. 12010
Author(s):  
Akihiro Shibata ◽  
Seikou Kato ◽  
Kei-Ichi Kondo ◽  
Ryutaro Matsudo
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Strong Coupling Expansion ◽  
Wilson Loops ◽  
Yang Mills ◽  
Lattice Monte Carlo ◽  
Area Law

We study the double-winding Wilson loops in the SU(N) Yang-Mills theory on the lattice. We discuss how the area law falloff of the double-winding Wilson loop average is modified by changing the enclosing contours C1 and C2 for various values of the number of color N. By using the strong coupling expansion, we evaluate the double-winding Wilson loop average in the lattice SU(N) Yang-Mills theory. Moreover, we compute the double-winding Wilson loop average by lattice Monte Carlo simulations for SU(2) and SU(3). We further discuss the results from the viewpoint of the Non-Abelian Stokes theorem in the higher representations.

scholarly journals QUANTUM STRINGS IN AdS5 × S5 AND GAUGE–STRING DUALITY

2010 ◽  
Vol 25 (02n03) ◽  
pp. 319-331 ◽  
Author(s):  
A. A. TSEYTLIN
Keyword(s):  
String Duality ◽  
Strong Coupling ◽  
Recent Progress ◽  
Anomalous Dimension ◽  
General Structure ◽  
Strong Coupling Expansion ◽  
Massive String ◽  
Yang Mills ◽  
Extract Information

We review some recent progress in understanding the spectrum of energies/dimensions of strings/operators in AdS5 × S5 – planar [Formula: see text] super Yang-Mills correspondence. We consider leading strong coupling corrections to the energy of lightest massive string modes in AdS5 × S5, which should be dual to members of the Konishi operator multiplet in the SYM theory. This determines the general structure of strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for semiclassical string states to extract information about the leading coefficients in this expansion.

scholarly journals A STRONG COUPLING EXPANSION FOR N = 4 SYM THEORY AND OTHER SCFT's

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2143-2152 ◽  
Author(s):  
DAVID BERENSTEIN
Keyword(s):  
Wave Function ◽  
Strong Coupling ◽  
Recent Progress ◽  
Einstein Manifold ◽  
Strong Coupling Expansion ◽  
Field Theories ◽  
Superconformal Field Theories ◽  
Four Dimensions ◽  
Yang Mills

Recent progress towards understanding a strong coupling expansion for various superconformal field theories in four dimensions is described. First, the case of the maximally supersymmetric Yang Mills theory is analyzed, as well as many calculations that can be done directly at strong coupling and matched to the AdS dual geometry. Also, this understanding is extended to other AdS duals where the sphere is replaced by a Sasaki-Einstein manifold. Particular emphasis is made on matching exactly part of the supergravity dual spectrum of various of these field theories by using wave function methods.

scholarly journals The lattice and quantized Yang–Mills theory

2015 ◽  
Vol 30 (36) ◽  
pp. 1530027
Author(s):  
Michael Creutz
Keyword(s):  
Strong Coupling ◽  
First Principles ◽  
Nuclear Force ◽  
Perturbative Expansion ◽  
Strong Interactions ◽  
Strong Coupling Regime ◽  
Quark Confinement ◽  
Yang Mills ◽  
Low Energies

Quantized Yang–Mills fields lie at the heart of our understanding of the strong nuclear force. To understand the theory at low energies, we must work in the strong coupling regime. The primary technique for this is the lattice. While basically an ultraviolet regulator, the lattice avoids the use of a perturbative expansion. I discuss the historical circumstances that drove us to this approach, which has had immense success, convincingly demonstrating quark confinement and obtaining crucial properties of the strong interactions from first principles.

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