Abstract
In this chapter we present some selected topics in the quantum field theory of the strong interaction, Quantum Chromodynamics. After an introduction on the gauge symmetry in Sect. 1, we briefly present the Renormalisation Group Equation in Sect. 2. Afterwards we turn to asymptotic freedom in Sect. 3 and confinement in Sect. 4. Then, after briefly reviewing the QCD colour factors in Sect. 5, we describe the symmetries of the theory in Sect. 6: isospin, chiral and scale symmetries, and the vacuum structure is reviewed with an introduction about instantons. In Sect. 7 the phase diagram is presented. Finally, in Sect. 8 some phenomenological applications of perturbative Quantum Chromodynamics are reviewed: \(e^+e^-\) annihilation, deep inelastic scattering, factorisation, radiation and jets.
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References
D.J. Gross, F. Wilczek, Phys. Rev. Lett. 30, 1343–1346 (1973)
H.D. Politzer, Phys. Rev. Lett. 30, 1346–1349 (1973)
F.J. Yndurain, The Theory of Quark and Gluon Interactions (Springer, Berlin, 1999)
P. Pascual, R. Tarrach, QCD: Renormalization for the Practitioner (Springer, New York, 1984)
A.V. Smilga, Lectures on Quantum Chromodynamics (World Scientific, London, 2001)
B.L. Ioffe, V.S. Fadin, L.N. Lipatov, Quantum Chromodynamics: Perturbative and Nonperturbative Aspects (Cambridge University Press, Cambridge, 2010)
R.K. Ellis, W.J. Stirling, B.R. Webber, QCD and Collider Physics (Cambridge University Press, Cambridge, 2003)
E. Leader, E. Predazzi, An Introduction to Gauge Theories and Modern Particle Physics, vols. 1 and 2 (Cambridge University Press, Cambridge, 1996)
Y.L. Dokshitzer, V.A. Khoze, A.H. Mueller, S.I. Troyan, Basics of Perturbative QCD (Editions Frontières, Gif-sur-Yvette, 1991)
H. Fritzsch, M. Gell-Mann, H. Leutwyler, Phys. Lett. B47, 365–368 (1973)
S. Bethke, Eur. Phys. J. C64, 689–703 (2009)
R. Alkofer, J. Greensite, J. Phys. G 34, S3 (2007). arXiv:hep-ph/0610365
J. Greensite, Lect. Notes Phys. 821, 1 (2011)
Z. Fodor, C. Hoelbling, Rev. Mod. Phys. 84, 449 (2012). arXiv:1203.4789 [hep-lat]
G.F. Sterman, S. Weinberg, Phys. Rev. Lett. 39, 1436 (1977)
A. Dobado, A. Gomez-Nicola, A.L. Maroto, J.R. Pelaez, Effective Lagrangians for the Standard Model (Springer, Berlin, 1997)
Y. Nambu, Phys. Rev. Lett. 4, 380 (1960)
J. Goldstone, Nuovo Cimento 19, 154 (1961)
H.-Y. Cheng, Phys. Rep. 158, 1 (1988)
R.D. Peccei, H.R. Quinn, Phys. Rev. D 16, 1791 (1977)
G. ’t Hooft, Phys. Rev. Lett. 37, 8 (1976)
G. ’t Hooft, Phys. Rep. 142, 357 (1986)
T.D. Lee, G.C. Wick, Phys. Rev. D 9, 2291 (1974)
J.C. Collins, M.J. Perry, Phys. Rev. Lett. 34, 1353 (1975)
J. Hofmann, H. Stöcker, W. Scheid, W. Greiner, in Report of the Workshop on BeV/Nucleon Collisions of Heavy Ions: How and Why, Bear Mountain, New York, 29 Nov–1 Dec 1974
B.A. Freedman, L.D. McLerran, Phys. Rev. D 16, 1169 (1977)
N. Cabibbo, G. Parisi, Phys. Lett. B 59, 67 (1975)
E.V. Shuryak, Phys. Lett. B 78, 150 (1978)
E.V. Shuryak, Sov. J. Nucl. Phys. 28, 408 (1978)
H. Satz, Lect. Notes Phys. 841, 1 (2012)
F. Karsch, Lect. Notes Phys. 583, 209 (2002) arXiv:0711.0656 [hep-lat]
F. Karsch, J. Phys. Conf. Ser. 46, 122 (2006) arXiv:0711.0661 [hep-lat]
J.D. Bjorken, Phys. Rev. D 27, 140 (1983)
C.-Y. Wong, Introduction to High-energy Heavy–ion Collisions (World Scientific, Singapore, 1994)
R. Hwa (ed.), Quark-Gluon Plasma, vol. 1 (World Scientific, Singapore, 1990)
R. Hwa (ed.), Quark-Gluon Plasma, vol. 2 (World Scientific, Singapore, 1995)
R. Hwa, X.N. Wang (eds.), Quark-Gluon Plasma, vol. 3 (World Scientific, Singapore, 2004)
R. Hwa, X.N. Wang (eds.), Quark-Gluon Plasma, vol. 4 (World Scientific, Singapore, 2010)
C. Pajares, Yu.M. Shabelski, Relativistic Nuclear Interactions (URSS, Moscow, 2007)
J.-P. Blaizot, Lect. Notes Phys. 583, 117 (2002). arXiv:hep-ph/0107131
G.P. Salam, CERN Yellow Report CERN-2010-002, 45–100. arXiv:011.5131 [hep-ph]
V.V. Ezhela, S.B. Lugovsky, O.V. Zenin, arXiv:hep-ph/0312114
J. Beringer et al., [Particle Data Group Collaboration], Phys. Rev. D 86, 010001 (2012)
R.D. Ball, S. Carrazza, L. Del Debbio, S. Forte, J. Gao, N. Hartland, J. Huston, P. Nadolsky et al., JHEP 1304, 125 (2013). arXiv:1211.5142 [hep-ph]
N. Armesto, J. Phys. G 32, R367 (2006). arXiv:hep-ph/0604108
F.D. Aaron et al. [H1 and ZEUS Collaboration], JHEP 1001, 109 (2010). arXiv:0911.0884 [hep-ex]
A. Accardi, J.L. Albacete, M. Anselmino, N. Armesto, E.C. Aschenauer, A. Bacchetta, D. Boer, W. Brooks et al., arXiv:1212.1701 [nucl-ex]
Yu.V. Kovchegov, E.M. Levin, Quantum Chromodynamics at High Energy (Cambridge University Press, Cambridge, 2012)
ATLAS Collaboration, ATL-PHYS-PUB-2012-004
G. Aad et al., [ATLAS Collaboration], Phys. Rev. D 85, 072004 (2012). arXiv:1109.5141 [hep-ex]
A. Buckley, J. Butterworth, S. Gieseke, D. Grellscheid, S. Hoche, H. Hoeth, F. Krauss, L. Lonnblad et al., Phys. Rep. 504, 145 (2011). arXiv:1101.2599 [hep-ph]
R. Itoh et al., [TOPAZ Collaboration], Phys. Lett. B 345, 335 (1995). arXiv:hep-ex/9412015
G.P. Salam, Eur. Phys. J. C 67, 637 (2010). arXiv:0906.1833 [hep-ph]
V.M. Abazov et al., [D0 Collaboration], Phys. Rev. D 85, 052006 (2012). arXiv:1110.3771 [hep-ex]
G. Aad et al., [ATLAS Collaboration], Phys. Rev. D 86, 014022 (2012). arXiv:1112.6297 [hep-ex]
Acknowledgments
We thank Tolga Altinoluk for help in producing Feynman diagrams. This work is supported by the European Research Council grant HotLHC ERC-2011-StG-279579; by Ministerio de Ciencia e Innovación of Spain under projects FPA2009-11951 and FPA2011-22776; by Xunta de Galicia (Consellería de Educación and Consellería de Innovación e Industria—Programa Incite); by the Spanish Consolider-Ingenio 2010 Programme CPAN and by FEDER.
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Armesto, N., Pajares, C. (2015). Quantum Chromodynamics. In: Merino, C. (eds) Lectures on Particle Physics, Astrophysics and Cosmology. Springer Proceedings in Physics, vol 161. Springer, Cham. https://doi.org/10.1007/978-3-319-12238-0_2
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