DM12 Helmholtz International Summer School in Dubna

Dileptons in Heavy-Ion Collisions

Lecturer: Hendrik van Hees

Lectures (Theory)

  1. Lecture I: Introduction to electromagnetic probes, QCD, chiral symmetries (Hendrik van Hees) [pdf]
  2. Lecture II: Elementary hadronic interactions, QED of hadrons, Dileptons in pp, pn and pA reactions at SIS (GSI, HADES experiment) [pdf]
  3. Lecture III: Partonic and Hadronic Many-Body Theory; Dileptons in AA collisions at SPS (CERN, Ceres/NA45, NA60) and RHIC (BNL, PHENIX and STAR) [pdf]
  4. Quiz for the discussion session [pdf]

Literature

Elementary-Particle Physics and (Thermal) Quantum Field Theory

Halzen, F., and Martin, A. D. Quarks and Leptons: An Introductory Course in Modern Particle Physics. John Wiley&Sons, 1984.

D. Bailin, A. Love, Introduction to Gauge Field Theory, Adam Hilger, Bristol and Boston (1986).

J. F. Donoghue, E. Golowich, B. R. Holstein, Dynamics of the Standard Model, Cambridge University press (1992).

S. Pokorski, Gauge Field Theories, Cambridge University Press, Cambridge, New York, Melbourne, 2nd ed. (2000).

L. H. Ryder, Quantum Field Theory, Cambridge University Press, Cambridge, New York, Melbourne, 2nd ed. (1996).

J. C. Taylor, Gauge Theories of Weak Interactions, Cambridge University Press (1976).

J. I. Kapusta, C. Gale, Finite-Temperature Field Theory; Principles and Applications, Cambridge University Press, 2nd ed. (2006).

M. LeBellac, Thermal Field Theory, Cambridge University Press, Cambridge, New York, Melbourne (1996).

K. Chou, Z. Su, B. Hao, L. Yu, Equilibrium and Nonequilibrium Formalisms made unified, Phys. Rept. 118 (1985) 1.
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N. P. Landsmann, C. G. van Weert, Real- and Imaginary-time Field Theory at Finite Temperature and Density, Physics Reports 145 (1987) 141.
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H. van Hees, Introduction to Quantum Field Theory (Manuscript).
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H. van Hees, Renormierung selbstkonsistenter Näherungen in der Quantenfeldtheorie bei endlichen Temperaturen, Ph.D. thesis, TU Darmstadt (2000).
Link to paper

H. van Hees, Green's Functions (Manuscript)
Link to paper

General Literature on Heavy-Ion Collisions

C. Y. Wong, Introduction to High-Energy Heavy-Ion collisions, World Scientific, Singapore (1994).

B. Friman, et al. (eds.), The CBM Physics Book, vol. 814 of Lecture Notes in Physics, Springer-Verlag, Berlin, Heidelberg (2011).
Link to paper

Hadronic Transport

S. Bass, et al., Microscopic models for ultrarelativistic heavy ion collisions, Prog. Part. Nucl. Phys. 41 (1998) 255.
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H. Petersen, J. Steinheimer, G. Burau, M. Bleicher, H. Stöcker, A Fully Integrated Transport Approach to Heavy Ion Reactions with an Intermediate Hydrodynamic Stage, Phys. Rev. C 78 (2008) 044901.
Link to paper

Chiral Symmetry and Effective Models

V. Koch, Aspects of chiral symmetry, Int. J. Mod. Phys. E 6 (1997) 203.
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S. Scherer, Introduction to chiral perturbation theory, Adv. Nucl. Phys. 27 (2003) 277.
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M. Dine, Goldstone Bosons and Chiral Symmetry Breaking in QCD (2011) lecture notes.
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U. G. Meissner, Low-Energy Hadron Physics from Effective Chiral Lagrangians with Vector Mesons, Phys. Rept. 161 (1988) 213.
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M. Bando, T. Kugo, Is the ρ Meson a Dynamical Gauge Boson of Hidden Local Symmetry, Phys. Rev. Lett. 54 (1984) 1215.
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M. Harada, K. Yamawaki, Hidden local symmetry at loop: A new perspective of composite gauge boson and chiral phase transition, Phys. Rept. 381 (2003) 1.
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J. J. Sakurai, Theory of strong interactions, Ann. Phys. (NY) 11 (1960) 1.
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G. J. Gounaris, J. J. Sakurai, Finite-Width Corrections to the Vector-Meson-Dominance Prediction for ρe+e-, Phys. Rev. Lett. 21 (1968) 244.
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N. M. Kroll, T. D. Lee, B. Zumino, Neutral Vector Mesons and the Hadronic Electromagnetic Current, Phys. Rev. 157 (1967) 1376.
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Brown, G., and Rho, M. Scaling effective Lagrangians in a dense medium. Phys. Rev. Lett. 66 (1991) 2720-2723.
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Brown, G., and Rho, M. Chiral restoration in hot and/or dense matter. Phys. Rept. 269 (1996) 333-380.
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Weinberg, S. Precise relations between the spectra of vector and axial vector mesons. Phys. Rev. Lett. 18 (1967) 507-509.
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Kapusta, J. I., and Shuryak, E. V. Weinberg type sum rules at zero and finite temperature. Phys. Rev. D 49 (1994) 4694-4704.
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Leupold, S., Peters, W., and Mosel, U. What QCD sum rules tell about the ρ meson. Nucl. Phys. A 628 (1998) 311-324.
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Leupold, S., and Mosel, U. On QCD sum rules for vector mesons in nuclear medium. Phys. Rev. C 58 (1998) 2939-2957.
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Landsberg, L. G. Electromagnetic Decays of Light Mesons, Phys. Rept. 128 (1985) 301.
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Koch, P. Low mass lepton pair production and pion dynamics in ultrarelativistic heavy ion collisions. Z. Phys. C 57 (1993), 283-304.
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S. L. Adler, Axial vector vertex in spinor electrodynamics, Phys. Rev. 177 (1969) 2426.
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J. S. Bell, R. Jackiw, A PCAC puzzle: π0 to γγ in the sigma model, Nuovo Cim. A 60 (1969) 47.
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Electromagnetic Probes in Heavy-Ion Collisions and Medium Modifications of Hadron Properties

Rapp, R., and Wambach, J. Chiral symmetry restoration and dileptons in relativistic heavy-ion collisions. Adv. Nucl. Phys. 25 (2000) 1.
Link to paper

Rapp, R., Wambach, J., and van Hees, H. The Chiral Restoration Transition of QCD and Low Mass Dileptons. Landolt-Börnstein I/23 (2009) 4-1.
Link to paper

Leupold, S., Metag, V., and Mosel, U. Hadrons in strongly interacting matter. Int. J. Mod. Phys. E 19 (2010) 147-224.
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Gale, C., and Kapusta, J. I. Vector Dominance Model at Finite Temperature. Nucl. Phys. B 357 (1991) 65.
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S. H. Lee, C. Song, H. Yabu, Photon - vector meson coupling and vector meson properties at low temperature pion gas, Phys. Lett. B 341 (1995) 407.
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R. D. Pisarski, Where does the ρ go? Chirally symmetric vector mesons in the quark - gluon plasma, Phys. Rev. D 52 (1995) 3773.
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R. Rapp, J. Wambach, Low mass dileptons at the CERN-SPS: Evidence for chiral restoration?, Eur. Phys. J. A 6 (1999) 415.
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R. Rapp, Dileptons in high-energy heavy-ion collisions, Pramana 60 (2003) 675.
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R. Rapp, The vector probe in heavy-ion reactions, J. Phys. G 31 (2005) S217.
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M. Urban, M. Buballa, J. Wambach, Temperature dependence of ρ and a1 meson masses and mixing of vector and axial-vector correlators, Phys. Rev. Lett. 88 (2002) 042002.
Link to paper

H. van Hees, R. Rapp, Comprehensive interpretation of thermal dileptons at the SPS, Phys. Rev. Lett. 97 (2006) 102301.
Link to paper

H. van Hees, R. Rapp, Dilepton Radiation at the CERN Super Proton Synchrotron, Nucl. Phys. A 806 (2008) 339.
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M. Herrmann, Eigenschaften des ρ-Mesons in dichter Kernmaterie, Dissertation, Technische Hochschule Darmstadt, Darmstadt (1992).
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Shyam, R., and Mosel, U. Dilepton production in proton-proton and quasi-free proton-neutron reactions at 1.25 GeV. Phys. Rev. C 82 (2010) 062201.
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Kaptari, L., and Kämpfer, B. Di-Electrons from Resonances in Nucleon-Nucleon Collisions. Phys. Rev. C 80 (2009) 064003.
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Kaptari, L., and Kämpfer, B. Di-electron bremsstrahlung in intermediate-energy pn and Dp collisions. Nucl. Phys. A 764 (2006) 338-370.
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E. Santini, J. Steinheimer, M. Bleicher, S. Schramm, Dimuon radiation at the CERN SPS within a (3+1)d hydrodynamic+cascade model, Phys. Rev. C 84 (2011) 014901.
Link to paper

K. Schmidt, et al., Production and evolution path of dileptons at energies accessible to the HADES detector, Phys. Rev. C 79 (2009) 064908.
Link to paper

Last Change: August 30, 2012