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- M Laine, Y Schröder
- 2008

We determine the 2-loop effective gauge coupling of QCD at high temperatures, defined as a matching coefficient appearing in the dimensionally reduced effective field theory. The result allows to improve on one of the classic non-perturbative probes for the convergence of the weak-coupling expansion at high temperatures, the comparison of full and effective… (More)

- M. Laine
- 1997

3d lattice studies have recently attracted a lot of attention, especially in connection with finite temperature field theories. One ingredient in these studies is a perturbative computation of the 2-loop lattice counterterms, which are exact in the continuum limit. We extend previous such results to SU(N) gauge theories with Higgs fields in the fundamental… (More)

- K Kajantie, M Laine, K Rummukainen, M Shaposhnikov
- 1997

We study to what extent the three-dimensional SU(N) + adjoint Higgs theory can be used as an effective theory for finite temperature SU(N) gauge theory, with N = 2, 3. The parameters of the 3d theory are computed in 2-loop perturbation theory in terms of T /Λ MS , N, N f. The perturbative effective potential of the 3d theory is computed to two loops for N =… (More)

- M Laine, O Philipsen, P Romatschke, M Tassler
- 2006

We determine the static potential for a heavy quark-antiquark pair propagating in Minkowski time at finite temperature, to leading non-trivial order in Hard Thermal Loop resummed perturbation theory. The result clarifies which Debye-screened potential should be used in models that attempt to describe the " melting " of heavy quarkonium at high temperatures.… (More)

- Y. Burnier, M. Laine, M. Vepsäläinen
- 2007

We elaborate on the fact that quarkonium in hot QCD should not be thought of as a stationary bound state in a temperature-dependent real potential, but as a short-lived transient, with an exponentially decaying wave function. The reason is the existence of an imaginary part in the pertinent static potential, signalling the " disappearance " , due to… (More)

It has been suggested recently that in the presence of suitably " warped " extra dimensions , the low-energy limit of pure gauge field theory may contain massive elementary vector bosons localised on a " brane " , but no elementary Higgs scalars. We provide non-perturbative evidence in favour of this conjecture through numerical lattice measurements of the… (More)

- K Kajantie, M Laine, K Rummukainen, Y Schröder
- 2002

The pressure of hot QCD up to g 6 ln(1/g) The free energy density, or pressure, of QCD has at high temperatures an expansion in the coupling constant g, known so far up to order g 5. We compute here the last contribution which can be determined perturbatively, g 6 ln(1/g), by summing together results for the 4-loop vacuum energy densities of two different… (More)

- K Kajantie, M Laine, K Rummukainen, M Shaposhnikov
- 1995

We formulate the rules for dimensional reduction of a generic nite temperature gauge theory to a simpler three-dimensional eeective bosonic theory in terms of a matching of Green's functions in the full and the eeective theory, and present a computation of a generic set of 1-and 2-loop graphs needed for the application of these rules. As a concrete… (More)

- K Kajantie, M Laine, K Rummukainen, M Shaposhnikov
- 1995

We study on the lattice the 3d SU(2)+Higgs model, which is an effective theory of a large class of 4d high temperature gauge theories. Using the exact constant physics curve, continuum (V → ∞, a → 0) results for the properties of the phase transition (critical temperature, latent heat, interface tension) are given. The 3-loop correction to the effective… (More)

- K Kajantie, M Laine, K Rummukainen, M Shaposhnikov
- 1996

We provide non-perturbative evidence for the fact that there is no hot electroweak phase transition at large Higgs masses, m H = 95, 120 and 180 GeV. This means that the line of first order phase transitions separating the symmetric and broken phases at small m H has an end point m H,c. In the minimal standard electroweak theory 70 GeV < m H,c < 95 GeV and… (More)