Monopoles in Real Time for Classical U(1) Gauge Field Theory

Details Monopoles in Real Time for Classical U(1) Gauge Field Theory Monopoles in Real Time for Classical U(1) Gauge Field Theory

2004-02-13

arxiv.org/abs/hep-lat/0402013v1

Physics

High Energy Physics

High Energy Physics - Lattice

Contribution to the "International Conference on Color Confinement and Hadrons in Quantum Chromodynamics - Confinement 2003" (

Scientific paper

U(1) gauge fields are decomposed into a monopole and photon part across the phase transition from the confinement to the Coulomb phase. We analyze the leading Lyapunov exponents of such gauge field configurations on the lattice which are initialized by quantum Monte Carlo simulations. We observe that the monopole field carries the same Lyapunov exponent as the original U(1) field. As a long awaited result, we show that monopoles are created and annihilated in pairs as a function of real time in excess to a fixed average monopole number.

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