Unsolved problem in physics Yang–Mills theory and the mass gap. Quantum particles described by the theory have mass but the classical waves of the field...

as follows: Yang–Mills Existence and Mass Gap. Prove that for any compact simple gauge group G, a non-trivial quantum Yang–Mills theory exists on R 4...

N = 4 supersymmetric Yang–Mills (SYM) theory is a relativistic conformally invariant Lagrangian gauge theory describing the interactions of fermions via...

content of Yang–Mills theory being a single vector gauge field (in particle theory language) or connection (in geometric language). The theory was studied...

Yang–Mills theory N = 4 supersymmetric Yang–Mills theory This disambiguation page lists articles associated with the title Supersymmetric Yang–Mills theory...

Yang is also well known for his collaboration with Robert Mills in developing non-abelian gauge theory, widely known as the Yang–Mills theory. Yang was...

National Laboratory, Frank Yang Chen-Ning and Robert Mills formulated in 1954 a theory now known as the Yang–Mills theory – "the foundation for current...

used to study the tunneling behavior in various systems such as a Yang–Mills theory. Relevant to dynamics, families of instantons permit that instantons...

In mathematical physics, two-dimensional Yang–Mills theory is the special case of Yang–Mills theory in which the dimension of spacetime is taken to be...

and mathematics, and especially differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection...

In gauge theory, topological Yang–Mills theory, also known as the theta term or θ {\displaystyle \theta } -term is a gauge-invariant term which can be...

theory in mathematical physics arose as a significant field of study with the seminal work of Robert Mills and Chen-Ning Yang on so-called Yang–Mills...

more specifically in quantum field theory and supersymmetry, supersymmetric Yang–Mills, also known as super Yang–Mills and abbreviated to SYM, is a supersymmetric...

is referred to as non-abelian gauge theory, the usual example being the Yang–Mills theory. Many powerful theories in physics are described by Lagrangians...

renormalization of Yang–Mills theories. In 1971 his first paper was published. In it he showed how to renormalize massless Yang–Mills fields, and was able...

quantum Yang-Mills theory exists without restriction to low energy scales. The problem is to establish rigorously the existence of the quantum Yang–Mills theory...

lines and the full Yang–Mills field equations. Witten showed that a further extension, within the framework of super Yang–Mills theory, including fermionic...

anomaly of 4 dimensional pure Yang–Mills theory can be precisely written as a 5 dimensional invertible topological field theory or mathematically a 5 dimensional...

generalizations of twistor theory, introduced by Roger Penrose in the 1960s. They have been applied to the study of supersymmetric Yang-Mills theory in 10D, superstrings...

means that instanton solutions have to be periodic as well. In SU(2) Yang–Mills theory at zero temperature, the instantons have the form of the BPST instanton...

In quantum field theory, the theta vacuum is the semi-classical vacuum state of non-abelian Yang–Mills theories specified by the vacuum angle θ that arises...

Supersymmetric Yang–Mills 4D N = 1 global supersymmetry Seiberg–Witten theory Super QCD (sQCD) N = 4 supersymmetric Yang–Mills theory ABJM superconformal...

the theory is preserved after quantization in the limit of momenta going to zero. While lattice computations have suggested that Yang–Mills theory indeed...

1954, Yang Chen-Ning and Robert Mills generalized the local symmetry of QED, leading to non-Abelian gauge theories (also known as Yang–Mills theories), which...

vortices are line-like topological defects that exist in the vacuum of Yang–Mills theory and QCD. There is evidence in lattice simulations that they play an...

ones, the quark potential is really directly related to the pure Yang–Mills theory structure and is a phenomenon independent of the matter content. Elitzur's...

quantum field theory. There is a firm belief in the physics community that the gauge theory of C.N. Yang and Robert Mills (the Yang–Mills theory) can lead...

measure. Yang–Mills theory has been another focus of Gross's works. Since 2013, Gross and Nelia Charalambous have made a deep study of the Yang–Mills heat...

In quantum field theory, gauge gravitation theory is the effort to extend Yang–Mills theory, which provides a universal description of the fundamental...

Lagrangian for the ghost fields c a ( x ) {\displaystyle c^{a}(x)\,} in Yang–Mills theories (where a {\displaystyle a} is an index in the adjoint representation...