# HGS-HIRe Lecture Week June 2018

Official website

## Theory Lectures

Lecturer: Hendrik van Hees

Lecture I: QCD and chiral symmetry [pdf]
Lecture II: Heavy-ion phenomenology; theory for dileptons in heavy-ion collisions [pdf]
Lecture III: Dileptons from SIS to LHC Energies  [pdf]

## Theory group work

(1) Understand Noether's theorem and Goldstone's theorem for classical field theories; material: pdf

(2) Derivation of the McLerran-Toimela formula for photon:  First 3 pages of [pdf]

(3) Weinberg sum rules; material:
Weinberg, S. Precise relations between the spectra of vector and axial vector mesons. Phys. Rev. Lett. 18 (1967) 507-509.

## Experimental Lectures

Lecturer: Friederike Bock (CERN) and Thorsten Dahms (Munich)

## Theory 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.

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

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

N. P. Landsmann, C. G. van Weert, Real- and Imaginary-time Field Theory at Finite Temperature and Density, Physics Reports 145 (1987) 141.

H. van Hees, Introduction to Quantum Field Theory (Manuscript).

H. van Hees, Renormierung selbstkonsistenter Näherungen in der Quantenfeldtheorie bei endlichen Temperaturen, Ph.D. thesis, TU Darmstadt (2000).

H. van Hees, Nonequilibrium relativistic many-body theory  (Manuscript)

### 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).

S. Bass, et al., Microscopic models for ultrarelativistic heavy ion collisions, Prog. Part. Nucl. Phys. 41 (1998) 255.

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.

H. van Hees, Introduction to Relativistic Transport Theory (Manuscript)

### Chiral Symmetry and Effective Models

V. Koch, Aspects of chiral symmetry, Int. J. Mod. Phys. E 6 (1997) 203.

S. Scherer, Introduction to chiral perturbation theory, Adv. Nucl. Phys. 27 (2003) 277.

M. Dine, Goldstone Bosons and Chiral Symmetry Breaking in QCD (2011) lecture notes.

U. G. Meissner, Low-Energy Hadron Physics from Effective Chiral Lagrangians with Vector Mesons, Phys. Rept. 161 (1988) 213.

M. Bando, T. Kugo, Is the ? Meson a Dynamical Gauge Boson of Hidden Local Symmetry, Phys. Rev. Lett. 54 (1984) 1215.

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.

J. J. Sakurai, Theory of strong interactions, Ann. Phys. (NY) 11 (1960) 1.

G. J. Gounaris, J. J. Sakurai, Finite-Width Corrections to the Vector-Meson-Dominance Prediction for ?e+e-, Phys. Rev. Lett. 21 (1968) 244.

N. M. Kroll, T. D. Lee, B. Zumino, Neutral Vector Mesons and the Hadronic Electromagnetic Current, Phys. Rev. 157 (1967) 1376.

Brown, G., and Rho, M. Scaling effective Lagrangians in a dense medium. Phys. Rev. Lett. 66 (1991) 2720-2723.

Brown, G., and Rho, M. Chiral restoration in hot and/or dense matter. Phys. Rept. 269 (1996) 333-380.

Weinberg, S. Precise relations between the spectra of vector and axial vector mesons. Phys. Rev. Lett. 18 (1967) 507-509.

Kapusta, J. I., and Shuryak, E. V. Weinberg type sum rules at zero and finite temperature. Phys. Rev. D 49 (1994) 4694-4704.

Leupold, S., Peters, W., and Mosel, U. What QCD sum rules tell about the $\rho$ meson. Nucl. Phys. A 628 (1998) 311-324.

Leupold, S., and Mosel, U. On QCD sum rules for vector mesons in nuclear medium. Phys. Rev. C 58 (1998) 2939-2957.

Landsberg, L. G. Electromagnetic Decays of Light Mesons, Phys. Rept. 128 (1985) 301.

Koch, P. Low mass lepton pair production and pion dynamics in ultrarelativistic heavy ion collisions. Z. Phys. C 57 (1993) 283.

### Electromagnetic Probes in Heavy-Ion Collisions and Medium Modifications of Hadron Properties

I. A. Kenyon, The Drell-Yan Process, Rept. Prog. Phys. 45 (1982) 1261

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

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.

Leupold, S., Metag, V., and Mosel, U. Hadrons in strongly interacting matter. Int. J. Mod. Phys. E 19 (2010) 147-224.

Gale, C., and Kapusta, J. I. Vector Dominance Model at Finite Temperature. Nucl. Phys. B 357 (1991) 65.

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.

R. D. Pisarski, Where does the $\rho$ go? Chirally symmetric vector mesons in the quark - gluon plasma, Phys. Rev. D 52 (1995) 3773.

R. Rapp, J. Wambach, Low mass dileptons at the CERN-SPS: Evidence for chiral restoration?, Eur. Phys. J. A 6 (1999) 415.

R. Rapp, Dileptons in high-energy heavy-ion collisions, Pramana 60 (2003) 675.

R. Rapp, The vector probe in heavy-ion reactions, J. Phys. G 31 (2005) S217.

M. Urban, M. Buballa, J. Wambach, Temperature dependence of ? and a1 meson masses and mixing of vector and axial-vector correlators, Phys. Rev. Lett. 88 (2002) 042002.

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

H. van Hees, R. Rapp, Dilepton Radiation at the CERN Super Proton Synchrotron, Nucl. Phys. A 806 (2008) 339.

H. van Hees, C. Gale, R. Rapp, Thermal Photons and Collective Flow at the Relativistic Heavy-Ion Collider, Phys. Rev. C 84 (2011) 054906.

M. Herrmann, Eigenschaften des ?-Mesons in dichter Kernmaterie, Dissertation, Technische Hochschule Darmstadt, Darmstadt (1992).

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.

Kaptari, L., and Kämpfer, B. Di-Electrons from Resonances in Nucleon-Nucleon Collisions. Phys. Rev. C 80 (2009) 064003.