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Compact Gauge Fields and the Infrared Catastrophe by A.M. Polyakov is a Physics and Astronomy article available to read on EtoBox.
What is Compact Gauge Fields and the Infrared Catastrophe about?
It is shown that infrared phenomena in the gauge theories are guided by certain classical solutions of the Yang-Mills equations. The existence of such solutions can lead to a finite correlation length which stops infrared catastrophe. In the present paper we deal only with theories with a compact but abelian gauge group. In this case the problems of correlation length and charge confinement are completely solved. It was pointed out by different authors [ 1 ] several years ago that the infrared phenomena, occurring with a gauge field, might provide a natural explanation for the confinement of quarks. At the same time there exist no methods for analyzing the interaction of gauge fields in the deep infrared region. It is the purpose of the present paper to work out a formalism which permits, at least partly, to take into account the infrared effects in gauge-field interactions. Our main idea is that the system of gauge fields acquires a finite correlation length through the following phenomenon. Imagine that we are calculating a certain correlation function in the euclidean formulation of the gauge theory. This means averaging over all possible fields A~ with the weight equal to:
Who reads Compact Gauge Fields and the Infrared Catastrophe?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- A.M. Polyakov
- Publisher
- Elsevier BV
- Published
- 1975
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)