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Showing 1 to 6 of 6 for “"wilson loop"”.
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Random surface interpretations of two-dimensional Liouville quantum gravity and Yang-Mills theory
… formula on non-smooth surfaces with Brownian loops instead of the zeta-regularized Laplacian determinant. Consequently, "weighting by a Brownian loop soup" changes the so-called central charge of the regularized random surfaces, as expected in physic literature. This result justifies a …
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The effects of instantons in a finite temperature quantum field theory
… to the inter-quark potential and spatial Wilson Loop in the dilute gas approximation at finite temperature. Finally, we point out the resemblance between these ρ > β instantons and monopoles. Our results are compared with those obtained from simulations and numerical calculations.
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Dual mappings and phase transitions in a short-range random valence bond theory
… emphasis on the Compact U(1) model, the monopole loop gas picture, and the confinement/deconfinement phase transition. The argument is then made that an equivalent phase transition may exist in the 3-D SRRVB, based on its mapping onto a similar monopole loop gas picture, albeit complicated by the …
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Perturbative Check of the Action and Energy Lattice Sum Rules
… gauge invariance of the expectation value of the Wilson loop up to next-to-leading order is proven. The possibility of restricting the expectation value of the action to one fixed time slice is discussed. The energy sum rule is checked perturbatively up to next-to-leading order and shown to be …
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Two topics in non-perturbative lattice field theories : the U(1) quantum link model and perfect actions for scalar theories
… gauge theory in 4-d. Based on the idea of the loop-cluster algorithm for quantum spins, we present the construction of a flux-cluster algorithm for the U(1) quantum link model for the spin-1/2 quantization of the electric flux. It is shown how improved estimators for Wilson loop expectation …
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Topological Objects and Confinement in Non-Abelian Lattice Gauge Theory
We use lattice methods to study the connection between topological objects and the confining potential in SU(2) and SU(3) Yang-Mills theories. We use Monte Carlo techniques, generating and performing measurements on sample configurations of SU(2) and SU(3) gauge fields. We isolate topological …