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Yang-Mills is a gauge theory of quantum field theory based on the SU(N) group. In quantum field theory (QFT the forces between particles are mediated by other particles Motivation and history When calculating Scattering cross sections in Particle physics, the interaction between particles can be described The history of quantum field theory starts with its creation by Dirac when he attempted to quantize the Electromagnetic field in the late 1920s Gauge theory is a peculiar Quantum field theory where the Lagrangian is invariant under certain transformations In quantum field theory (QFT the forces between particles are mediated by other particles Special Unit 2In Mathematics, the special unitary group of degree n, denoted SU( n) is the group of n × n It was formulated by Yang and Mills in the 1950s and formed the basis for the electroweak unification and quantum chromodynamics (QCD). Chen-Ning Franklin Yang ( (born October 1, 1922) is a Chinese -born American Physicist who worked on Statistical mechanics Robert L Mills ( April 15, 1927 - October 27, 1999) was a Physicist, specializing in Quantum field theory, the theory In Particle physics, the electroweak interaction is the unified description of two of the four Fundamental interactions of nature Electromagnetism and the Quantum chromodynamics (abbreviated as QCD is a theory of the Strong interaction ( color force a Fundamental force describing the interactions of the The weak interaction is described by SU(2) while QCD is a SU(3) gauge theory. The weak interaction (often called the weak force or sometimes the weak nuclear force) is one of the four Fundamental interactions of nature Special Unit 2In Mathematics, the special unitary group of degree n, denoted SU( n) is the group of n × n The electroweak theory was combined using U(1)xSU(2), as quantum electrodynamics was described by U(1). Quantum electrodynamics ( QED) is a relativistic Quantum field theory of Electrodynamics. In Mathematics, the circle group, denoted by T (or in Blackboard bold by \mathbb T is the multiplicative group of all Complex For the Standard Model that unifies the strong, weak and electromagnetic interaction, the symmetry group is U(1)xSU(2)xSU(3). The Standard Model of Particle physics is a theory that describes three of the four known Fundamental interactions together with the Elementary particles In particle physics the strong interaction, or strong force, or color force, holds Quarks and Gluons together to form Protons and The weak interaction (often called the weak force or sometimes the weak nuclear force) is one of the four Fundamental interactions of nature In Physics, the electromagnetic force is the force that the Electromagnetic field exerts on electrically charged particles