Dy Dyna namical Th Ther erma maliz lizatio ion in in the e - PowerPoint PPT Presentation

Dy Dyna namical Th Ther erma maliz lizatio ion in in the e Quark-Me Meson Mo Model with J. Berges, J. Pawlowski, A. Rothkopf (in preparation) Cold Quantum Coffee ITP Heidelberg Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg

From heavy ion collisions towards the QCD phase diagram: an equilibration process temperature Figures from http://wl33.web.rice.edu/images/HI-cartoon.png, http://images.slideplayer.com/25/7893277/slides/slide_3.jpg baryon chemical potential o QCD phase diagram: an equilibrium concept o deconfinement + chiral phase transition Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04.02. 04. 02.20 20 2

From heavy ion collisions towards the QCD phase diagram: an equilibration process temperature Figures from http://wl33.web.rice.edu/images/HI-cartoon.png, http://images.slideplayer.com/25/7893277/slides/slide_3.jpg baryon chemical potential non-equilibrium o QCD phase diagram: an equilibrium concept o need out-of-equilibrium dynamics to describe initial stages of heavy ion collision Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04.02. 04. 02.20 20 3

From heavy ion collisions towards the QCD phase diagram: an equilibration process non-perturbative temperature regime of QCD Figures from http://wl33.web.rice.edu/images/HI-cartoon.png, http://images.slideplayer.com/25/7893277/slides/slide_3.jpg baryon chemical potential non-equilibrium o QCD phase diagram: an equilibrium concept o need out-of-equilibrium dynamics to describe initial stages of heavy ion collision Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04.02. 04. 02.20 20 4

�������� ����� ������ ��������� ������ ������ We can investigate this equilibration using effective field theories. T 1) Quark-meson model & non-equilibrium methods φ = 0 2) Numerical results thermal state φ � = 0 µ B initial state � � � � � � � � � � � � � � � Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04.02. 04. 02.20 20 5

The quark-meson model provides a successful formulation of QCD below scales ~ 1 GeV. o d.o.f.: light quarks and mesons o chiral symmetry breaking o phase diagram with first order & crossover transition Jungnickel, Wetterich. PRD (1996) Birse. J. Phys. G: Nucl. Part. Phys. (1994) Petropoulos. J. Phys. G: Nucl.Part. Phys (1998) Berges, Jungnickel, Wetterich.Int. J. Mod. Phys. A (2003) Schaefer, Pirner. arXiv nucl-th/9903003 (1999) Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04.02. 04. 02.20 20 6

�������� ����� ������ ��������� ������ ������ The quark-meson model provides a successful formulation of QCD below scales ~ 1 GeV. T o d.o.f.: light quarks and mesons φ = 0 o chiral symmetry breaking o phase diagram with first order & crossover transition φ � = 0 µ B Jungnickel, Wetterich. PRD (1996) Birse. J. Phys. G: Nucl. Part. Phys. (1994) Petropoulos. J. Phys. G: Nucl.Part. Phys (1998) Berges, Jungnickel, Wetterich.Int. J. Mod. Phys. A (2003) Schaefer, Pirner. arXiv nucl-th/9903003 (1999) Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04.02. 04. 02.20 20 7

The quark-meson model provides a successful formulation of QCD below scales ~ 1 GeV. � � ψ [ i γ µ ∂ µ − m ψ ] ψ − g S [ ¯ ¯ ¯ ψ [ σ + i γ 5 τ α π α ] ψ ψ , ψ , σ , π ] = N f x + 1 2 [ ∂ µ σ∂ µ σ + ∂ µ π∂ µ π ] − 1 σ 2 + π α π α � 2 � λ σ 2 + π α π α � 2 m 2 � � − 4! N Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04. 04.02. 02.20 20 8

The quark-meson model provides a successful formulation of QCD below scales ~ 1 GeV. u & d quark � � ψ [ i γ µ ∂ µ − m ψ ] ψ − g S [ ¯ ¯ ¯ ψ [ σ + i γ 5 τ α π α ] ψ ψ , ψ , σ , π ] = N f x + 1 2 [ ∂ µ σ∂ µ σ + ∂ µ π∂ µ π ] − 1 σ 2 + π α π α � 2 � λ σ 2 + π α π α � 2 m 2 � � − 4! N Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04. 04.02. 02.20 20 9

The quark-meson model provides a successful formulation of QCD below scales ~ 1 GeV. u & d quark � � ψ [ i γ µ ∂ µ − m ψ ] ψ − g S [ ¯ ¯ ¯ ψ [ σ + i γ 5 τ α π α ] ψ ψ , ψ , σ , π ] = N f x + 1 2 [ ∂ µ σ∂ µ σ + ∂ µ π∂ µ π ] − 1 σ 2 + π α π α � 2 � λ σ 2 + π α π α � 2 m 2 � � − 4! N sigma meson & pions Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04.02. 04. 02.20 20 10 10

The quark-meson model provides a successful formulation of QCD below scales ~ 1 GeV. Yukawa coupling u & d quark � � ψ [ i γ µ ∂ µ − m ψ ] ψ − g S [ ¯ ¯ ¯ ψ [ σ + i γ 5 τ α π α ] ψ ψ , ψ , σ , π ] = N f x + 1 2 [ ∂ µ σ∂ µ σ + ∂ µ π∂ µ π ] − 1 σ 2 + π α π α � 2 � λ σ 2 + π α π α � 2 m 2 � � − 4! N sigma meson & pions Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04.02. 04. 02.20 20 11 11

The quark-meson model provides a successful formulation of QCD below scales ~ 1 GeV. Yukawa coupling u & d quark � � ψ [ i γ µ ∂ µ − m ψ ] ψ − g S [ ¯ ¯ ¯ ψ [ σ + i γ 5 τ α π α ] ψ ψ , ψ , σ , π ] = N f x + 1 2 [ ∂ µ σ∂ µ σ + ∂ µ π∂ µ π ] − 1 σ 2 + π α π α � 2 � λ σ 2 + π α π α � 2 m 2 � � − 4! N sigma meson & pions scalar potential V ( φ ) m 2 > 0 m 2 < 0 φ Lin inda Shen | Instit itute for or Th Theor oretic ical l Physic ics | Heid idelb lberg 04.02. 04. 02.20 20 12 12

��������� ������ ��������� ��������� ��� �������� ������ Non-equilibrium time-evolution S [ ϕ ] ⇒ initial va value p problem non-equilibrium Γ [ φ , G ] non-equilibrium ��� φ ��� G Lin inda Shen | ITP TP & KIP | Heid idelb lberg 04. 04.02. 02.20 20 13 13