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't Hooft loop in SU(2) Yang-Mills theory.

P de Forcrand1, M D'Elia, M Pepe

  • 1Institut für Theoretische Physik, ETH Hönggerberg, Zürich, Switzerland.

Physical Review Letters
|April 6, 2001
PubMed
Summary

We investigated the

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • Computational Physics

Background:

  • The 't Hooft loop is a key observable in Quantum Chromodynamics (QCD) and related gauge theories.
  • Understanding its behavior at finite temperatures is crucial for studying the phase structure of these theories.
  • SU(2) Yang-Mills theory serves as a simplified model to probe non-perturbative phenomena.

Purpose of the Study:

  • To analyze the spatial and temporal 't Hooft loop in 4D SU(2) Yang-Mills theory.
  • To investigate the loop's behavior at both zero and finite temperatures.
  • To explore the phase transition using a novel numerical approach.

Main Methods:

  • Development and application of a new numerical method for lattice gauge theory simulations.
  • Calculation of spatial and temporal 't Hooft loop correlators.
  • Analysis of the loop's behavior across the phase transition temperature T(c).

Main Results:

  • In the deconfined phase (T > T(c)), the spatial 't Hooft loop displays a dual string tension.
  • This dual string tension was observed to vanish at the critical temperature T(c).
  • The vanishing of the string tension follows a critical exponent characteristic of 3D Ising-like behavior.

Conclusions:

  • The study provides insights into the non-perturbative dynamics of SU(2) Yang-Mills theory at finite temperatures.
  • The observed dual string tension and its critical behavior offer a new perspective on deconfinement.
  • The results validate the employed numerical method for studying phase transitions in gauge theories.

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