UV Fixed Point
In a quantum field theory, one may calculate an effective or running coupling constant that defines the coupling of the theory measured at a given momentum scale. One example of such a coupling constant is the electric charge. In approximate calculations in several quantum field theories, notably quantum electrodynamics and theories of the Higgs particle, the running coupling appears to become infinite at a finite momentum scale. This is sometimes called the Landau pole problem. It is not known whether the appearance of these inconsistencies is an artifact of the approximation, or a real fundamental problem in the theory. However, the problem can be avoided if an ultraviolet or UV fixed point appears in the theory. A quantum field theory has a UV fixed point if its renormalization group flow approaches a fixed point in the ultraviolet (i.e. short length scale/large energy) limit. This is related to zeroes of the beta-function in the Callan-Symanzik equation.
The large length scale/small energy limit counterpart is the infrared fixed point.
Read more about UV Fixed Point: Specific Cases and Details, Asymptotic Safety Scenario in Quantum Gravity
Famous quotes containing the words fixed and/or point:
“Indeed, I thought, slipping the silver into my purse ... what a change of temper a fixed income will bring about. No force in the world can take from me my five hundred pounds. Food, house and clothing are mine for ever. Therefore not merely do effort and labour cease, but also hatred and bitterness. I need not hate any man; he cannot hurt me. I need not flatter any man; he has nothing to give me.”
—Virginia Woolf (1882–1941)
“People talk about the conscience, but it seems to me one must just bring it up to a certain point and leave it there. You can let your conscience alone if you’re nice to the second housemaid.”
—Henry James (1843–1916)