Create Presentation
Download Presentation

Hiden symmetry and strongly interacting fermions correlations at Finite T and ρ N

Hiden symmetry and strongly interacting fermions correlations at Finite T and ρ N

129 Views

Download Presentation
Download Presentation
## Hiden symmetry and strongly interacting fermions correlations at Finite T and ρ N

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

**Ji-sheng Chen**Central China Normal Univ. Wuhan 430079 Chenjs@iopp.ccnu.edu.cn With P.-F Zhuang (Tsinghua Univ.) ,J.-R Li (CCNU) and M. Jin Hiden symmetry and strongly interacting fermions correlations at Finite T and ρN**Contents**• Introduction • Dyson-Schwinger Equations: RHA+RPA • In-medium meson effects on EOS • Superfluidity with Debye screening effects • Model of broken U(1) Em symmetry and EM interaction on the correlations of nucleons in nuclear matter • Conclusions**Phase or Correlation in strongly**interaction field theory with Continuous Field theory**1. Introduction**• Heavy ion collisions • High T/ρ Physics • QGP-deconfinement • Chiral symmetry (partial) restoration phase transition • Medium effects?**Phase diagram of strongly interacting matter**Superfluidity as well as BEC Superconductivity CERN-SPS, RHIC, LHC: high temperature, low baryon density AGS, GSI (SIS200) & CSR: moderate temperature, high (moderate) baryon density**Central collisions**SPS RHIC LHC s1/2(GeV) 17 200 5500 dNch/dy 500 650 3-8 x103 e (GeV/fm3) 2.5 3.5 15-40 Vf(fm3) 103 7x103 2x104 tQGP (fm/c) <1 1.5-4.0 4-10 t0 (fm/c) ~1 ~0.5 <0.2 • Experiments**3、Space-time Evolution**Loosely pairs of quasiparticles (BEC)?**Signals of QGP**• Probes of EOS: Effective member of degrees of freedom, Collective flows (transverse & epileptic flows) • EM signals (background) • Probes of Color Deconfinement • Signatures of Chiral Symmetry**Dilepton production**• Background • Partial chiral symmetry restoration(CSR) • Adv. Nucl. Phys. 25 (2000) 1**Light vector mesons**• EM signal of QGP：Dilepton and photons; background? ~ , , • The partial Chiral Symmetry Restoration(CSR): The property of esp. meson in hot/dense nuclear environment(?). CERES/NA45, e+e- HELIOS-3, + - DLS (BEVALAC), e+e- Believed to be observed in CSR certainly!**Physics**• Has QGP been produced? • From hadronic view, if without medium effects, the data can not be explained. • Broadening (R. Rappet al.) • Mass decreasing of (Brown-Rho, G. Q. Li) • Too many works in the literature!**Framework Review**• QHD The saturation property of nuclear matter and to finite nuclei successfully (MFT) • Following the proposal of Brown-Rho scaling law (PRL 66, (1991) 2720), QHD is used to discuss the property ofhadronic matter under the hot/dense extreme conditions.**No chiral symmetry explicitly Lagrangian**• Hides and reflects the vacuum effect , short and long range correlation effects etc.? • Argued: the obtained result is consistent with(?) the result of partial chiral symmetry restoration**PRL 67 (1991) 961; PRC 63 (2001) 025206**Phys. Rep. 363, 85 ( 2002); 347, 289 (2001) Modified QHD? Nuclear matter: effective theory? Refinement of microscopic description for nuclear matter theory with in-medium meson (Self-consistency?)**Addressing**• EOS of hot/dense nuclear matter • Relation between mN*, mσ* , m*, m* etc. improved • Superfluidity with relativistic nuclear theory more self-consistently (screening effects) • U(1) EM symmetry and the correlations of nucleons in nuclear matter (emphasis on the mechanism and Model)**2.QHD-I &RHA+RPA**• The simplest renormalizble QHD-I Adv. Nucl. Phys.16 (1986)1**Attributed to calculation**of self-energies**RHA result=MFT+εvac**• The saturation condition at normal density at T=0 fixes the coupling constants. • The EOS is hard. • Nonlinear σ- and ZM model NPA292 (1977) 413; PRC42 (1990) 1416.**Meson property and RPA**• Determined by the full propagator: using the relativistic random phase approximation (RPA)**To discuss the effective meson masses, spectral function,**and dispersion relation of meson excitations**I.In-medium Meson Effects on the EOS of Hot and dense**Nuclear Matter Nucl-th/0209074, Phys. Rev. C 68, 045209 (2003) . The origin of “Hidden Local Symmetry” suggested by one of the referees**Back interaction of in-medium meson with**nucleon~Improvement of the solution consistency? • EOS of nuclear matter. • The relation of MN*, m* , m* etc.**Along a single direction(?)**• MN*, μN*m* , m* ,**Results**• Softer EOS with compressibility K=318.2 MeV (acceptable 250 MeV~350 MeV) • Relation between m* , m* , mρ* and MN* more closer to Brown-Rho scaling law.**Compared with existed result in literature**• Similar work at T=0 in the literature: PRC60 (1999) 044903 But numerical results might be incorrect K ~ 380 MeV?**Binding Energy vs density**At T=0. Dot-dashed to MFT, dashed to RHA and solid to RHA+RPA**LG phase transition still exists**Pressure vs scaled density for fixed temperature**Eff. masses vs scale density**Dotted to σ, Dot-dashed to , Solid to N**II Dybe screening effects of mesons on 1S0 correlation with**Dyson-Schwinger Equation Nucl-th/0309033, Phys. Lett.B585, 85 (2004) “Original work” ?**S-wave pairing correlation: Important in physics**• A theoretical long-standing problem. • Background of other pairing correlations (P,D –waves etc. ) • How to beyond MFT approach? A hot topic in temporary physics (condensed physics, nuclear theory)**Superfluidity in nuclear matter**• Phys. Rev. 110, 936 (1958). Bohr, B.R. Mottelson, and D. Pines • Field theory with Nambu-Gorkov formalism H. Kucharek and P. Ring, Z. Phys. A 339, 23 (1991) • “standard” but non-relativistic: J. Decharge and D. Gogny, Phys. Rev. C 21, 1568 (1980).**Quite unacceptable results of superfluidity with frozen**meson propagators (MFT and RHA) even with additional parametersImprovement: with external potential (Bonn) as input? • Important topic in contemporary physics screening effects on1S0 correlation widely discussed within the frame of nonrelativistic frame! • Improvement of description for fundamental 1S0 correlation with self-consistent Dyson-Schwinger equations ?**Formalism**• Solution of gap equations for full nucleon and meson propagators as well as the that for superfluidity pairing • Diagrammatic representations for the coupled equations**Debye Screening effectsin the in-medium particle-particle**interaction potential**Main results**• Numerical results, two respects. One is crucial. • The numerical results are not sensitive again to the concrete coupling constants and the momentum cutoffs as well as the bulk EOS (very mandatory)**III Broken U(1) EM symmetry related with LG phase transition**and breached pairing strengthsnucl-th/0402022**Motivation**• Inspired by the low temperature superconductivity • The article citing our previous work (Phys. Lett.B) tells us one important fact: the quite different scattering lengths of nucleons! But no works addressing this problem either in nonrelativistic or relativistic frame?**Frame: relativistic field theory**• Symmetry in physics • QHD hidden Chiral symmetry • How about EM symmetry? • Coulomb interaction role on the EOS? Multi-canonical formalism just published in PRL (2003), the theoretical background to be explored as clearly pointed out by the authors