Abstract
These lectures are a brief introduction to the methods of “finite temperature field theory”. By this one refers to a collection of techniques which have been de- veloped, for a large part of them, long ago in the context of quantum statistical mechanics, the so-called “many-body” problem. These were typically applied to non relativistic systems such as the electron gas, liquid Helium, nuclear matter, etc. More recently, these methods have been extended to systems of relativistic particles interacting with gauge fields, for which new interesting technical and conceptual issues appear.
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References
A.A. Abrikosov, L.P. Gorkov and I.E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics, (Dover, New-York, 1963).
L. Kadanov and G. Baym, Quantum Statistical mechanics, (Benjamin/Cummings, London, 1962).
A. Fetter and J.D. Walecka, Quantum Theory of Many Particle Systems, (McGraw Hill, New-York, 1971).
J.P. Blaizot and G. Ripka, Quantum Theory of Finite Systems, (MIT Press, Cambridge, 1986).
M. Le Bellac, Thermal field theory, Cambridge Monographs in Mathematical Physics, (Cambridge University Press, 1996).
J.I. Kapusta, Finite temperature field theory, Cambridge Monographs in Mathematical Physics, (Cambridge University Press, 1989).
J. Blaizot and E. Iancu, “The quark-gluon plasma: Collective dynamics and hard thermal loops,” Phys. Repts. 359 (2002) 355, hep-ph/0101103.
J.P. Blaizot, “QCD at finite temperature”, in “Probing the Standard Model of Particle Interactions”, Les Houches, Session LXVIII, 1997, ed. by R. Gupta et al. (Elsevier, Amsterdam, 1999).
J. P. Blaizot, “The quark-gluon plasma and nuclear collisions at high energy,” Lecture given at Les Houches Summer School on Theoretical Physics, Session 66: Trends in Nuclear Physics, 100 Years Later, Les Houches, France, 30 Jul—30 Aug 1996.
J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, Clarendon Press (Oxford 1989, third ed. 1996).
P. Arnold and C. Zhai, Phys. Rev. D50 (1994) 7603.
J. P. Blaizot, E. Iancu and A. Rebhan, “Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma. I: Entropy and density,” Phys. Rev. D 63 (2001) 065003 [hep-ph/0005003].
A. Linde, Phys. Lett. B96 (1980) 289
E. Braaten and A. Nieto, Phys. Rev. D51 (1995) 6990.
K. Kajantie, M. Laine, K. Rummukainen and Y Schroder, Phys. Rev. Lett. 86 (2001) 10 [arXiv:hep-ph/0007109].
R.D. Pisarski, Phys. Rev. Lett. 63 (1989) 1129
E. Braaten and R.D. Pisarski, Phys. Rev. Lett. 64 (1990) 1338; Phys. Rev. D42 (1990) 2156; Nucl. Phys. B337 (1990) 569.
J. Frenkel and J.C. Taylor, Nucl. Phys. B334 (1990) 199; J.C. Taylor and S.M.H. Wong, ibid. B346 (1990) 115.
R. Efraty and V.P. Nair, Phys. Rev. Lett. 68 (1992) 2891; R. Jackiw and V.P. Nair, Phys. Rev. D48 (1993) 4991.
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Blaizot, JP. (2002). Quantum Fields at Finite Temperature: A Brief Introduction. In: Blaizot, JP., Iancu, E. (eds) QCD Perspectives on Hot and Dense Matter. NATO Science Series, vol 87. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0267-7_9
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DOI: https://doi.org/10.1007/978-94-010-0267-7_9
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