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Proseminar on Perturbative and Non-Perturbative Methods for Strong Interactions – FS 2009

Philippe de Forcrand

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Assignment of topics (View with Firefox, not Explorer)

Topic                                     

References

Talk Date

Student

Supervisor
Euclidean path integral formalism: from quantum mechanics to quantum field theory.

Talk

Presentation

 Euclidean path integral formalism: from quantum mechanics to quantum field theory.
Introduce the path integral formalism: 1-particle quantum mechanics; Euclidean rotation; bosonic
field theory; connection with perturbative expansion.
MM Ch.1.2 – 1.4; R Ch.2.
 March 30, 2009
 Enea Di Dio
 Marco Panero
Yang-Mills theory and the QCD Lagrangian

Talk

Presentation

 Yang-Mills theory and the QCD Lagrangian.
Explain non-Abelian gauge symmetry, Yang-Mills Lagrangian, Wilson loop; introduce quarks.
Ryder Ch.4.4 (beginning); PS Ch.15.1 – 15.3 + 17.1.
 April 6, 2009
 Christopher Cedzich
 Ph. de Forcrand
M. Fromm
Asymptotic freedom and the beta-function:  4, 2d  -model, QCD

Talk

Presentation

 Asymptotic freedom and the beta-function:  4, 2d  -model, QCD.
Introduce renormalization, and explain beta-function calculation for  4 and  -model; explain
consequences for QCD.
KG Ch.4.1 – 4.2; Ryder Ch. 9.3; PS Ch.13.3, Sec.1.
 April 20, 2009
 David Oehri
  
Lattice formulation of Yang-Mills theory and confinement at strong coupling

Talk

Presentation

 Lattice formulation of Yang-Mills theory and confinement at strong coupling.
Discretize Yang-Mills theory; explain continuum limit via asymptotic freedom; reproduce Wilson’s
proof of confinement at strong coupling.
MM Ch. 3.2; R Ch. 9; Wilson.
 April 27, 2009
 Basil Schneider
 Marco Panero
Goldstone’s theorem and chiral symmetry breaking

Talk

Presentation

 Goldstone’s theorem and chiral symmetry breaking.
Review the chiral symmetry of QCD, its explicit and its spontaneous breaking. Explain Goldstone’s
theorem and apply it to QCD.
Ryder Ch. 8.1 – 8.2; Scherer Ch. 2.
 May 4,2009
 Felix Traub,
 Marco Panero
Finite temperature QCD: formulation and symmetries

Talk

Presentation

 Finite temperature QCD: formulation and symmetries.
Finite temperature in the Euclidean path integral; bosons and fermions; Polyakov loop and center
symmetry.
KG Ch.2; R Ch. 20.1 – 20.4.
 May 11, 2009
 Roman Mani
 Aleksi Kurkela
The finite-temperature transition in QCD

Talk

Presentation

 The finite-temperature transition in QCD.
Explain symmetries and expected thermal behaviour of QCD with infinitely heavy and with
massless quarks (Columbia plot).
KG Ch. 10.4 – 10.5; KS Ch. 7

MM: I. Montvay and G. M¨unster, “Quantum fields on a lattice,” Cambridge, UK: Univ.
Pr. (1994) 491 p. (Cambridge monographs on mathematical physics)
• R: H. J. Rothe, “Lattice gauge theories: An Introduction,” World Sci. Lect. Notes Phys.
74 (2005) 1.
• PS: M. E. Peskin and D. V. Schroeder, “An Introduction To Quantum Field Theory,”
Reading, USA: Addison-Wesley (1995) 842 p
• KG: J. I. Kapusta and C. Gale, “Finite-temperature field theory: Principles and applications,”
Cambridge, UK: Univ. Pr. (2006) 428 p
• Ryder: L. H. Ryder, “Quantum Field Theory,” Cambridge, Uk: Univ. Pr. ( 1985) 443p
• KS: J. B. Kogut and M. A. Stephanov, “The phases of quantum chromodynamics: From
confinement to extreme environments,” Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 21
(2004) 1.
• Wilson: K. G. Wilson, “Confinement of quarks,” Phys. Rev. D 10 (1974) 2445.
• Scherer: S. Scherer and M. R. Schindler, “A chiral perturbation theory primer,” arXiv:hepph/
0505265.
 May 18, 2009
 Raffaele Solcà
 Aleksi Kurkela