Fully Quantum String Representation of a Wilson Loop in the Finite-Temperature 3D Yang–Mills Theory

• Main Author: Dmitry Antonov
• Format: Article
• Language: English
• Published: MDPI AG 2020-04-01
• Series: Symmetry
• Subjects: effective string description of confinement; models of the quark–antiquark string; finite-temperature effects in quantum field theory; Wilson loop; Yang–Mills theory
• Online Access: https://www.mdpi.com/2073-8994/12/5/688
• ISSN: 2073-8994

We demonstrate the emergence of the Polchinski–Strominger term in the string representation of a Wilson loop in the confinement phase of the finite-temperature 3D Yang–Mills theory. At a temperature which is roughly twice smaller than the deconfinement critical temperature, the value of the coupling of that term becomes such that the string conformal anomaly cancels out, thereby admitting a fully quantum description of the quark–antiquark string in 3D rather than 26D.