- 113 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' QCD Phase Diagram from Finite Energy Sum Rules' - serina-stephenson

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

### QCD Phase Diagram from Finite Energy Sum Rules

Alejandro Ayala

Instituto de CienciasNucleares, UNAM

(In collaboration with A. Bashir,

C. Domínguez, E. Gutiérrez, M. Loewe, and A. Raya)

arXiv:1106.5155 [hep-ph]

Outline

- Deconfinement and chiral symmetry restoration
- Resonance threshold energy as phenomenological tool to study deconfinement
- QCD sum rules at finite temperature/chemical potential
- Results

Deconfinement and chiral symmetry restoration

- Driven by same effect:
- With increasing density, confining interaction gets screened and
- eventually becomes less effective (Deconfinement)
- Inside a hadron, quark mass generated by confining
- interaction. When deconfinement occurres, generated
- mass is lost (chiral transition)

Lattice quark condensate and Polyakov loop

A. Bazavov et al., Phys. Rev. D 90, 014504 (2009)

Status of phase diagram

- =0: Physical quark masses, deconfinement and chiral symmetry restoration coincide. Smooth crossover for 170 MeV < Tc < 200 MeV
- Analysis tools:
- Lattice (not applicable at finite )
- Models (Polyakov loop, quark condesate)
- Lattice vs. Models:
- Lattices gives:

smaller/larger

chemical potential/temperature values for endpoint than models

- Critical end point might not even exist!

Alternative signature: Melting of resonances

Im

s0

s

pole

For increasing T and/or B the energy threshold for the continuum goes to 0

Pert part: imaginary parts at finite T and

- Twocontributions:
- Annihilationchannel (availablealso at T==0)
- Dispersionchannel (Landaudamping)

A. Bazavov et al., Phys. Rev. D 90, 014504 (2009)

Lose of Lorentz covariance means that

Parametrize S-D solution in terms of “free-like” propagators

Parameters fixed by requiring S-D conditions and description of lattice data

Summary and conclusions

- QCD phase diagram rich in structure: critical end point?
- Polyakov loop, quark condensate analysis can be supplemented with other signals: look at threshold s0as function of T and
- Finite energy QCD sum rules provide ideal framework. Need calculation of quark condesnate. Use S-D quark propagator parametrized with “free-like” structures.
- Transition temperatures coincide, method not accurate enough to find critical point, stay tuned.

Download Presentation

Connecting to Server..