Finite-temperature gluon condensate with renormalization group flow equations

Schaefer, Bernd-Jochen; Bohr, Oliver; Wambach, J.

doi:10.1103/physrevd.65.105008

Cited by 30 publications

(23 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We will compare later our results with the ones of Ref. [30]. Due to the difficulties associated with the quantization of non-polynomial field theories (see e.g.…”

Section: Gluon-condensate Dynamicsmentioning

confidence: 70%

“…One should also consider the results of Ref. [30], where no hint of a first order transition was found up to temperatures of the order of 200 MeV where their prediction reaches its limit of validity. On the other hand, many calculations of the behavior of the dilaton field at finite temperature do indicate a transition at a temperature similar to the one we get in our approach [28,29,32].…”

Section: Gluon-condensate Dynamicsmentioning

confidence: 99%

“…[29] an attempt to go beyond the mean-field approximation was made, and in Ref. [30] the gluon condensate was studied with renormalization group flow equations. We will compare later our results with the ones of Ref.…”

Section: Gluon-condensate Dynamicsmentioning

confidence: 99%

See 2 more Smart Citations

Evaporation of the gluon condensate: a model for pure gauge SU(3)c phase transition

2004

View full text Add to dashboard Cite

We interpret lattice data for the equation of state of pure gauge SU (3) c by an evaporation model. At low temperatures gluons are frozen inside the gluon condensate, whose dynamics is described in terms of a dilaton lagrangian. Above the critical temperature quasifree gluons evaporate from the condensate: a first order transition is obtained by minimizing the thermodynamical potential of the system. Within the model it is possible to reproduce lattice QCD results at finite temperature for thermodynamical quantities such as pressure and energy. The gluonic longitudinal mass can also be evaluated; it vanishes below the critical temperature, where it shows a discontinuity. At very large temperatures we recover the perturbative scenario and gluons are the only asymptotic degrees of freedom.

show abstract

“…We will compare later our results with the ones of Ref. [30]. Due to the difficulties associated with the quantization of non-polynomial field theories (see e.g.…”

Section: Gluon-condensate Dynamicsmentioning

confidence: 70%

Section: Gluon-condensate Dynamicsmentioning

confidence: 99%

See 1 more Smart Citation

Evaporation of the gluon condensate: a model for pure gauge SU(3)c phase transition

2004

View full text Add to dashboard Cite

show abstract

“…This is discussed, e.g., in Refs. [218,219] and represents a minimal requirement for Λ when considering a given initial condition U (t = 0, σ). However, guaranteeing the inequalities ( 136) and ( 137) does by itself not guarantee RG consistency in the sense of Eq.…”

Section: Tests Of the Uv And Ir Scalesmentioning

confidence: 99%

Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases - Part I: The $O(N)$ model

Koenigstein,

Steil,

Wink

et al. 2021

Preprint

View full text Add to dashboard Cite

The functional renormalization group (FRG) approach is a powerful tool for studies of a large variety of systems, ranging from statistical physics over the theory of the strong interaction to gravity. The practical application of this approach relies on the derivation of so-called flow equations, which describe the change of the quantum effective action under the variation of a coarse-graining parameter. In the present work, we discuss in detail a novel approach to solve such flow equations. This approach relies on the fact that RG equations can be rewritten such that they exhibit similarities with the conservation laws of fluid dynamics. This observation can be exploited in different ways. First of all, we show that this allows to employ powerful numerical techniques developed in the context of fluid dynamics to solve RG equations. In particular, it allows to reliably treat the emergence of non-analytic behavior in the RG flow of the effective action as it is expected to occur in studies of, e.g., spontaneous symmetry breaking. Second, the analogy between RG equations and fluid dynamics offers the opportunity to gain novel insights into RG flows and their interpretation in general, including the irreversibility of RG flows. We work out this connection in practice by applying it to zero-dimensional quantum-field theoretical models. The generalization to higherdimensional models is also discussed. Our findings are expected to help improving future FRG studies of quantum field theories in higher dimensions both on a qualitative and quantitative level.

show abstract

“…At zero density importance sampling lattice simulations are able to provide vital information about the nature of the temperature driven phase transition for 2 and 3 colors Yang-Mills theories with and without matter fields (see [12] for a review). Different models [13,14,15,16,17,18,19,20,21,22,23,24,25,26] are used in literature to tackle/study the features of this phase transition from a theoretical stand point. Some models compute non zero temperature corrections for the glueball Lagrangian with or without elementary gluon degrees of freedom (the latter added to describe the deconfined side of the phase transition).…”

Section: Introductionmentioning

confidence: 99%

Partial deconfinement in color superconductivity

2002

View full text Add to dashboard Cite

We analyze the fate of the unbroken SU(2) color gauge interactions for 2 light flavors color superconductivity at non zero temperature. Using a simple glueball lagrangian model we compute the deconfining/confining critical temperature and show that is smaller than the critical temperature for the onset of the superconductive state itself. The breaking of Lorentz invariance, induced already at zero temperature by the quark chemical potential, is shown to heavily affect the value of the critical temperature and all of the relevant features related to the deconfining transition. Modifying the Polyakov loop model to describe the SU(2) immersed in the diquark medium we argue that the deconfinement transition is second order. Having constructed part of the equation of state for the 2 color superconducting phase at low temperatures our results may be relevant for the physics of compact objects featuring a two flavor color superconductive state.

show abstract

Finite-temperature gluon condensate with renormalization group flow equations

Cited by 30 publications

References 31 publications

Evaporation of the gluon condensate: a model for pure gauge SU(3)c phase transition

Evaporation of the gluon condensate: a model for pure gauge SU(3)c phase transition

Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases - Part I: The $O(N)$ model

Partial deconfinement in color superconductivity

Contact Info

Product

Resources

About