# Gauge-invariant scalar and field strength correlators in three dimensions

Laine M, Philipsen O (1998)

Nuclear Physics B 523(1-2): 267-289.

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Gauge-invariant non-local scalar and field strength operators have been argued to have significance, e.g., as a way to determine the behaviour of the screened static potential at large distances, as order parameters for confinement, as input parameters in models of confinement, and as gauge-invariant definitions of light constituent masses in bound-state systems. We measure such "correlators" in the 3d pure SU(2) and SU(2) + Higgs models on the lattice. We extract the corresponding mass parameters and discuss their scaling and physical interpretation. We find that the finite part of the <(MS)over bar> scheme mass measured from the field strength correlator is large, more than half the glueball mass, We also determine the non-perturbative contribution to the Debye mass in the 4d finite T SU(2) gauge theory with a method due to Arnold and Yaffe, finding delta m(D) approximate to 1.06(4) g(2)T. (C) 1998 Elsevier Science B.V.

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Laine M, Philipsen O. Gauge-invariant scalar and field strength correlators in three dimensions.

*Nuclear Physics B*. 1998;523(1-2):267-289.Laine, M., & Philipsen, O. (1998). Gauge-invariant scalar and field strength correlators in three dimensions.

*Nuclear Physics B*,*523*(1-2), 267-289.Laine, M., and Philipsen, O. (1998). Gauge-invariant scalar and field strength correlators in three dimensions.

*Nuclear Physics B*523, 267-289.Laine, M., & Philipsen, O., 1998. Gauge-invariant scalar and field strength correlators in three dimensions.

*Nuclear Physics B*, 523(1-2), p 267-289.M. Laine and O. Philipsen, “Gauge-invariant scalar and field strength correlators in three dimensions”,

*Nuclear Physics B*, vol. 523, 1998, pp. 267-289.Laine, M., Philipsen, O.: Gauge-invariant scalar and field strength correlators in three dimensions. Nuclear Physics B. 523, 267-289 (1998).

Laine, Mikko, and Philipsen, O. “Gauge-invariant scalar and field strength correlators in three dimensions”.

*Nuclear Physics B*523.1-2 (1998): 267-289.
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