EPJ

2021 Impact factor 4.991
EPJ C - Particles and Fields
Particles and Fields
Eur. Phys. J. C 7, 355-362
DOI 10.1007/s100529801004

The super-heat-kernel expansion and the renormalization
of the pion-nucleon interaction

H. Neufeld1,2

1 CERN, CH-1211 Geneva 23, Switzerland
2 Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Vienna, Austria

Received: 21 July 1998 / Published online: 5 October 1998

Abstract
A recently proposed super-heat-kernel technique is applied to $SU(2)_L \times SU(2)_R$ heavy baryon chiral perturbation theory. A previous result for the one-loop divergences of the pion-nucleon system to ${\cal O}(p^3)$ is confirmed, giving at the same time an impressive demonstration of the efficiency of the new method. The cumbersome and tedious calculations of the conventional approach are now reduced to a few simple algebraic manipulations. The present computational scheme is not restricted to chiral perturbation theory, but can easily be applied or extended to any (in general non-renormalizable) theory with boson-fermion interactions.

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