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Theory of the weakly interacting Bose gas
This article reviews recent advances in the theory of the three-dimensional dilute homogeneous Bose gas at zero and finite temperature. Effective-field-theory methods are used to formulate aExpand
Low dimensional Bose gases
We present an improved many-body T-matrix theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. The resulting mean-field theory is valid in arbitraryExpand
Three-loop HTL QCD thermodynamics
The hard-thermal-loop perturbation theory (HTLpt) framework is used to calculate the thermodynamic functions of a quark-gluon plasma to three-loop order. This is the highest order accessible byExpand
Hard thermal loop resummation of the free energy of a hot gluon plasma
We calculate the free energy of a hot gluon plasma to leading order in hard-thermal-loop perturbation theory. Effects associated with screening, gluon quasiparticles, and Landau damping are resummedExpand
The chiral transition in a magnetic background: finite density effects and the functional renormalization group
A bstractWe compute the phase diagram of the quark-meson model at finite temperature, finite baryon chemical potential μB = 3 μ and constant external magnetic field B, using the functionalExpand
HTL Perturbation Theory to Two Loops
We calculate the pressure for pure-glue QCD at high temperature to two-loop order using hard-thermal-loop (HTL) perturbation theory. At this order, all the ultraviolet divergences can be absorbedExpand
Four-loop screened perturbation theory
We study the thermodynamics of massless {phi}{sup 4}-theory using screened perturbation theory. In this method, the perturbative expansion is reorganized by adding and subtracting a thermal mass termExpand
Pressure to order g8log g of massless ϕ4 theory at weak coupling
We calculate the pressure of massless 4-theory to order g8log (g) at weak coupling. The contributions to the pressure arise from the hard momentum scale of order T and the soft momentum scale ofExpand
Thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions
The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions is studied. We calculate the pressure to next-to-leading order in the 1/N expansion and show that at this order, only theExpand
Phase fluctuations in atomic Bose gases.
We improve on the Popov theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. As a result, the theory becomes valid in arbitrary dimensions and is ableExpand
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