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How to resum long-distance contributions to the QCD pressure?
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The strict coupling constant expansion for the free energy of hot QCD plasma shows bad convergence at all reasonable temperatures, and does not agree well with its 4d lattice determination. This has recently lead to various refined resummations, whereby the agreement with the lattice result should improve, at the cost of a loss of a formal agreement with the coupling constant expansion and particularly with its large infrared sensitive ``long-distance'' contributions. We show here how to resum the dominant long-distance effects by using a 3d effective field theory, and determine their magnitude by simple lattice Monte Carlo simulations.
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Cosmological phase transitions without high-temperature expansions
A hard-soft split combined with a finite-temperature Loop-Tree Duality method computes the resummed 4d thermal effective potential without high-temperature expansions, demonstrated in a scalar-Yukawa model.
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