Polyakov Loop
The Polyakov Loop is a mathematical construct used in quantum field theory, particularly in the study of gauge theories and quantum chromodynamics (QCD). It represents a path integral over a closed loop in time, allowing physicists to analyze the behavior of quarks and gluons in a thermal environment. The loop is essential for understanding confinement and phase transitions in these theories.
In the context of lattice gauge theory, the Polyakov Loop serves as an order parameter for the deconfinement phase transition. When the temperature exceeds a critical value, the expectation value of the Polyakov Loop changes, indicating a transition from a confined phase, where quarks are bound within hadrons, to a deconfined phase, where quarks and gluons can move freely.