Dilaton in Baryonic Matter

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Presentation transcript:

Dilaton in Baryonic Matter Hyun Kyu Lee Hanyang University M. Harada, T. Kuo, Y.Ma , C. Sasaki, W. Paeng, B.Y. Park and M. Rho 4th APCTP-WCU Focus Program, April 14-24, 2013,

Manifestations of symmetries of QCD in dense baryonic matter. I. Introduction Manifestations of symmetries of QCD in dense baryonic matter. 1. Chiral symmetry 2. Scale symmetry 3. Hidden local symmetry Density frontier Temperature frontier

- Dilaton : Higgs particle in hidden local symmetry(HLS) Phenomenology of dilaton for dense baryonic matter : Symmetry energy, Equation of state

II. Dilaton and chiral symmetry breaking Linear sigma model SU(2) x SU(2) symmetry  SSB for masless pions Explicit scale symmetry breaking :

A. - Degeneracy is removed  no SSB - Scale symmetry - Approximate scale symmetry - SSB Scale symmetry breaking  SSB of chiral symmetry

QCD Goldstone theorem for SSB Broken generators  Goldstone bosons Massless  no scale but decay constant, F  scale Linear sigma model Pion and massive sigma decay constant Nonlinear realization pion and decay constant QCD

Freund –Nambu model matter field dilaton 1.The mass of matter field comes from Va and is independent of tau and is arbitrary. 2.The mass of dilaton depends on tau, going to zero liniearly as tau  0. 3. vev does not depend on tau. (approximate) SSB of scale symmetry: only the mass of Goldstone boson(dilaton) must be small while all other fields can be arbitrary. Freund & Nambu, 1968; B. Zumino, 1970

pion dynamics in nonlinear realization QCD - Running coupling constant -Trace anomaly: chiral singlet scalar

Dilaton-pion coupling Scale symmetry breaking

III. Dilaton and Hidden local symmetry Chiral symmetry breaking Hidden symmetry

Spontaneous breaking of hidden local symmetry Vector meson Goldstone boson Higgs mechanism

Dilaton: Higgs in hidden local symmetry

IV. Dilaton in dense hadronic matter (1) Effective theory for hadronic matter - hidden local symmetry (HLS) Harada & Yamawaki(01) Skyrmion on the lattice, Skyrmion and hQCD, vetor meson Dilaton limit and mean field Talk by B.Y. Park, Y. Oh, Y.-L. Ma, W. Paeng, M. Rho

Dong, Kuo, HKL,Machleidt, Rho(12) (2) Stiffer equation of state: half skyrmion phase Omega-nucleon coupling Dong, Kuo, HKL,Machleidt, Rho(12) EoS with new scaling Mean field calculation is now in progress

2. weak equilibrium: proton, neutron, electron, muon  Softer EoS Neutron star with 1. charge neutrality 2. weak equilibrium: proton, neutron, electron, muon  Softer EoS Jaehyun Lee(2013) in preperation

PSR J1614-2230 (1.97 ± 0.04)M⊙

astrophysical observation : PSR J1614-2230 : (1.97 ± 0.04)M⊙ V. Summary Effective theory with chiral and scale symmetry. - pion, vector meson, nucleon, dilaton - vector mesons: hidden local symmetry (HLS) - dilaton: Higgs in HLS Dilaton  density dependence of hadronic natter - skyrmion matter - dialton limit , mean field approach Stiffer symmetry energy and EoS for star matter astrophysical observation : PSR J1614-2230 : (1.97 ± 0.04)M⊙ new RIB machines, advanced LIGO