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## Quark mass thresholds in QCD thermodynamics

- M. Laine, Y. Schroder
- Physics
- 6 March 2006

We discuss radiative corrections to how quark mass thresholds are crossed, as a function of the temperature, in basic thermodynamic observables such as the pressure, the energy and entropy densities,… Expand

## The Pressure of hot QCD up to g6 ln(1/g)

- K. Kajantie, M. Laine, K. Rummukainen, Y. Schroder
- Physics
- 20 November 2002

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… Expand

## Two-loop QCD gauge coupling at high temperatures

- M. Laine, Y. Schroder
- Physics
- 1 March 2005

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… Expand

## Four-loop decoupling relations for the strong coupling

- Y. Schroder, M. Steinhauser
- Physics
- 5 December 2005

We compute the matching relation for the strong coupling constant within the framework of QCD up to four-loop order. This allows a consistent five-loop running (once the β function is available to… Expand

## Four-Loop Vacuum Energy Density of the SU(Nc) + Adjoint Higgs Theory

- K. Kajantie, M. Laine, K. Rummukainen, Y. Schroder
- Physics
- 4 April 2003

We compute the dimensionally regularised four-loop vacuum energy density of the SU(N_c) gauge + adjoint Higgs theory, in the disordered phase. ``Scalarisation'', or reduction to a small set of master… Expand

## Spatial string tension revisited

- M. Laine, Y. Schroder
- Physics
- 23 September 2005

The spatial string tension, a classic non-perturbative probe for the convergence of the weak-coupling expansion at high temperatures, can be determined in full QCD as well as in a dimensionally… Expand

## Four-loop pressure of massless O(N) scalar field theory

- A. Gynther, M. Laine, Y. Schroder, C. Torrero, A. Vuorinen
- Physics
- 29 March 2007

Inspired by the corresponding problem in QCD, we determine the pressure of massless O(N) scalar field theory up to order g 6 in the weak-coupling expansion, where g 2 denotes the quartic coupling… Expand

## Open problems in hot QCD

- Jesse Moeller, Y. Schroder
- Physics
- 7 July 2010

## Four loop renormalization of the Gross-Neveu model

- J. Gracey, T. Luthe, Y. Schroder
- Physics
- 16 September 2016

We renormalize the $SU(N)$ Gross-Neveu model in the modified minimal subtraction scheme at four loops and determine the $\ensuremath{\beta}$ function at this order. The theory ceases to be… Expand

## High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles

- Y. Schroder, A. Vuorinen
- Physics
- 21 March 2005

In this article we present a high-precision evaluation of the expansions in $\e=(4-d)/2$ of (up to) four-loop scalar vacuum master integrals, using the method of difference equations developed by S.… Expand

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