Hard-thermal-loop perturbation theory to two loops

Andersen, Jens O.; Braaten, Eric; Petitgirard, E.; Strickland, Michael

doi:10.1103/physrevd.66.085016

Cited by 154 publications

(248 citation statements)

References 44 publications

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“…These asymptotic pieces satisfy simplified equations of motion obtained after removing all the mass scales (but the renormalization scale µ) in the initial equations of motion (17). For the one-loop case, we obtain…”

Section: Asymptotic Self-energiesmentioning

confidence: 99%

“…We shall show that it is possible to absorb consistently all the UV singularities in the counterterms present in (17). In what follows, and to simplify the discussion we study the massless case both at zero and finite temperature.…”

Section: A Renormalized Quantities and Countertermsmentioning

confidence: 99%

“…Note that the field strength counterterms only depend on the dominant asymptotic pieces of the self-energies. Consecuently they are those needed in the initial equations of motion (17). The value of the coupling counterterm δλ does not play a role since in dimensional regularization Q D 2 (Q) = 0.…”

Section: Asymptotic Self-energiesmentioning

confidence: 99%

“…This is for example the case of the so-called screened perturbation theory for scalar fields [14,15] or its generalization to QCD [16,17,18]. These other approaches are based on a resummation of the leading contribution to the self-energy for the soft modes (Hard Thermal Loops [19,20]).…”

Section: Introductionmentioning

confidence: 99%

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Non-perturbative renormalization of Φ-derivable approximations in theories with fermions

Reinosa

2006

Nuclear Physics A

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We show how to renormalize Φ-derivable approximations in a theory with a fermionic field coupled to a self-interacting scalar field through a Yukawa interaction. The nonperturbative renormalization concerns the self-interaction coupling of the scalar field which is renormalized via a set of nested Bethe-Salpeter equations for the scalar and fermionic four-point functions. We use this information to construct explicit finite equations of motion in the symmetric phase. We work in the context of equilibrium quantum field theory and show that the renormalization can be carried out without introducing temperature dependent counterterms. * Electronic address: u.reinosa@thphys.uni-heidelberg.de

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Section: Asymptotic Self-energiesmentioning

confidence: 99%

Section: A Renormalized Quantities and Countertermsmentioning

confidence: 99%

Section: Asymptotic Self-energiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Non-perturbative renormalization of Φ-derivable approximations in theories with fermions

Reinosa

2006

Nuclear Physics A

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“…However, this is not so for an excitation at the soft loop-momenta which is nonperturbatively renormalized by the hard thermal fluctuations. The free energy due to the gluon contribution is therefore calculated up to O g 4 from both the hard and soft scales in [51],…”

Section: Jhep12(2017)098mentioning

confidence: 99%

One-loop QCD thermodynamics in a strong homogeneous and static magnetic field

Rath

Patra

2017

J. High Energ. Phys.

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Abstract:We have studied how the equation of state of thermal QCD with two light flavors is modified in a strong magnetic field. We calculate the thermodynamic observables of hot QCD matter up to one-loop, where the magnetic field affects mainly the quark contribution and the gluon part is largely unaffected except for the softening of the screening mass. We have first calculated the pressure of a thermal QCD medium in a strong magnetic field, where the pressure at fixed temperature increases with the magnetic field faster than the increase with the temperature at constant magnetic field. This can be understood from the dominant scale of thermal medium in the strong magnetic field, being the magnetic field, in the same way that the temperature dominates in a thermal medium in the absence of magnetic field. Thus although the presence of a strong magnetic field makes the pressure of hot QCD medium larger, the dependence of pressure on the temperature becomes less steep. Consistent with the above observations, the entropy density is found to decrease with the temperature in the presence of a strong magnetic field which is again consistent with the fact that the strong magnetic field restricts the dynamics of quarks to two dimensions, hence the phase space becomes squeezed resulting in the reduction of number of microstates. Moreover the energy density is seen to decrease and the speed of sound of thermal QCD medium increases in the presence of a strong magnetic field. These findings could have phenomenological implications in heavy ion collisions because the expansion dynamics of the medium produced in non-central ultra-relativistic heavy ion collisions is effectively controlled by both the energy density and the speed of sound.

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Principal problems in Bose-Einstein condensation of dilute gases

2004

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A survey is given of the present state of the art in studying Bose-Einstein condensation of dilute atomic gases. The bulk of attention is focused on the principal theoretical problems, though the related experiments are also mentioned. Both uniform and nonuniform trapped gases are considered. Existing theoretical contradictions are critically analysed. A correct understanding of the principal theoretical problems is necessary for gaining a more penetrating insight into experiments with trapped atoms and for their proper interpretation.Comment: Brief review, 53 pages, 2 figure

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Hard-thermal-loop perturbation theory to two loops

Cited by 154 publications

References 44 publications

Non-perturbative renormalization of Φ-derivable approximations in theories with fermions

Non-perturbative renormalization of Φ-derivable approximations in theories with fermions

One-loop QCD thermodynamics in a strong homogeneous and static magnetic field

Principal problems in Bose-Einstein condensation of dilute gases

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