Vom Fruajahr bis in' Herbst

Braun, Hartmut; Sangerinnen, Roaner; Auracher, Leni; Eck, Traudl; Vogt, Lisi; Sontheim, Sepp; Winkler-Rehle, Duo; Stoaberg-Musi,; Schwab, Franzi; Klarinettenmusi, Kreuther

doi:10.2307/846980

Cited by 3 publications

(5 citation statements)

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“…On the other hand, it is known that there is also "viscosity solution" as a different definition of the weak solution. 15 The viscosity solution can be defined for even some second-order nonlinear partial differential equations to which the definition of Eq. (22) cannot be applied.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…Let us here consider the analysis of the DχSB in the NJL model at finite temperature and density with the functional renormalization group (FRG) method [9][10][11][12][13][14][15][16][17][18][19]; see also [20][21][22][23][24][25][26] as the reviews of the FRG. The advantage of the FRG is that one can systematically improve approximations for the FRG analysis.…”

Section: Introductionmentioning

confidence: 99%

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Phase structure of NJL model with weak renormalization group

2018

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We analyze the chiral phase structure of the Nambu-Jona-Lasinio model at finite temperature and density by using the functional renormalization group (FRG). The renormalization group (RG) equation for the fermionic effective potential V (σ; t) is given as a partial differential equation, where σ :=ψψ and t is a dimensionless RG scale. When the dynamical chiral symmetry breaking (DχSB) occurs at a certain scale t c , V (σ; t) has singularities originated from the phase transitions, and then one cannot follow RG flows after t c . In this study, we introduce the weak solution method to the RG equation in order to follow the RG flows after the DχSB and to evaluate the dynamical mass and the chiral condensate in low energy scales. It is shown that the weak solution of the RG equation correctly captures vacuum structures and critical phenomena within the pure fermionic system. We show the chiral phase diagram on temperature, chemical potential and the four-Fermi coupling constant.

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Section: Summary and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Phase structure of NJL model with weak renormalization group

2018

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“…Note that we do not take into account a possible running of the Yukawa coupling g, as done in, e.g., Refs. [41][42][43][44][45][46][47].…”

Section: Renormalization Group Setupmentioning

confidence: 99%

“…A more detailed discussion of the relation of the present approximation to the mean-field approximation in terms of a derivative expansion and a so-called large-N c expansion of the quantum effective action Γ can be found in Refs. [43,44,46,56,57].…”

Section: Renormalization Group Setupmentioning

confidence: 99%

Effect of fluctuations on the QCD critical point in a finite volume

et al. 2014

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We investigate the effect of a finite volume on the critical behavior of the theory of the strong interaction (QCD) by means of a quark-meson model for N f = 2 quark flavors. In particular, we analyze the effect of a finite volume on the location of the critical point in the phase diagram existing in our model. In our analysis, we take into account the effect of long-range fluctuations with the aid of renormalization group techniques. We find that these quantum and thermal fluctuations, absent in mean-field studies, play an import role for the dynamics in a finite volume. We show that the critical point is shifted towards smaller temperatures and larger values of the quark chemical potential if the volume size is decreased. This behavior persists for antiperiodic as well as periodic boundary conditions for the quark fields as used in many lattice QCD simulations.

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“…The DχSB has been investigated by using low energy effective models such as the Nambu-Jona-Lasinio (NJL) model [8][9][10][11][12][13][14][15] which is described by the four-Fermi interactions. Rebosonization methods [16][17][18]…”

Section: Introductionmentioning

confidence: 99%

The RG flow of Nambu–Jona-Lasinio model at finite temperature and density

Aoki

Yamada

2015

Int. J. Mod. Phys. A

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We study the Nambu-Jona-Lasinio model at finite temperature and finite density by using the functional renormalization group. The RG flows of the four-Fermi coupling constant in the NJL model are investigated. We obtain the chiral phase boundary in cases of the large-N leading approximation and an improved approximation. The large-N nonleading term at the vanishing temperature has a singularity at the Fermi surface. We show that the quantum corrections by the large-N nonleading term largely influence the phase boundary at the low temperature and high density region.

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Vom Fruajahr bis in' Herbst

Cited by 3 publications

References 0 publications

Phase structure of NJL model with weak renormalization group

Phase structure of NJL model with weak renormalization group

Effect of fluctuations on the QCD critical point in a finite volume

The RG flow of Nambu–Jona-Lasinio model at finite temperature and density

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