Berlin 2005 – scientific programme

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HK: Physik der Hadronen und Kerne

HK 36: Hauptvortr
äge

HK 36.1: Invited Talk

Wednesday, March 9, 2005, 10:15–10:45, TU MA001

Recent progress in effective field theory — •Stefan Scherer — Institut für Kernphysik, Johannes Gutenberg-Universität, Mainz

The implementation of a successful effective field theory program requires two main ingredients, namely: (a) a knowledge of the most general effective Lagrangian and (b) an expansion scheme for observables in terms of a consistent power counting method [1]. In Ref. [2] we have proposed a renormalization scheme which provides a simple and consistent power counting for manifestly Lorentz-invariant baryon chiral perturbation theory. Our approach may be used in an iterative procedure to renormalize higher-order loop diagrams and also allows for implementing vector (and axial-vector) mesons as explicit degrees of freedom [3]. As an application we will discuss the electromagnetic form factors of the nucleon. Finally, requiring the consistency of effective field theory with respect to renormalization results in constraints such as, e.g., the universal ρ coupling [4].

[1] S. Scherer, Adv. in Nucl. Phys. 27 (Kluwer Academic/Plenum Publishers, New York, 2003)

[2] T. Fuchs, J. Gegelia, G. Japaridze, S. Scherer, Phys. Rev. D 68, 056005 (2003)

[3] T. Fuchs, M. R. Schindler, J. Gegelia, S. Scherer, Phys. Lett. B 575, 11 (2003); M. R. Schindler, J. Gegelia, S. Scherer, Nucl. Phys. B 682, 367 (2004)

[4] D. Djukanovic, M. R. Schindler, J. Gegelia, G. Japaridze, S. Scherer, Phys. Rev. Lett. 93, 122002 (2004)