UV Fixed Point

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:

    Popular culture entered my life as Shirley Temple, who was exactly my age and wrote a letter in the newspapers telling how her mother fixed spinach for her, with lots of butter.... I was impressed by Shirley Temple as a little girl my age who had power: she could write a piece for the newspapers and have it printed in her own handwriting.
    Adrienne Rich (b. 1929)

    What I am anxious to do is to secure my legislation.... What I want to do is to get through that, and if I can point to a record of usefulness of that kind, I am entirely willing to quit office.
    William Howard Taft (1857–1930)