Perturbation theory for nuclear fuel depletion calculations with predictor–corrector method

heating method with perturbation theory

The renormalization constants present in the lattice evaluation of the topolog-ical susceptibility can be non-perturbatively calculated by using the so-called heating method. We test this method for the O(3) non-linear σ-model in two dimensions. We work in a regime where perturbative calculations are exact and useful to check the values obtained from the heating method. The result of the test i...

Chiral Perturbation Theory for Nuclear Physicists

Chiral perturbation theory is the low energy effective theory of the strong interactions for the light pseudoscalar degrees of freedom. This program is based on effective Lagrangian techniques and is an expansion in the powers of the momenta and the powers of the quark masses, which correct the soft-pion theorems. After briefly reviewing these features and some results, we address the implicati...

Testing the heating method with perturbation theory.

Dilute Nuclear Matter in Chiral Perturbation Theory

E. S. Fraga, Y. Hatta, R. D. Pisarski, and J. Schaffner-Bielich Laboratoire de Physique Théorique,Université Paris XI Bâtiment 210, 91405 Orsay Cedex, France Instituto de F́ısica, Universidade Federal do Rio de Janeiro C.P. 68528, Rio de Janeiro, 21941-972 RJ, Brazil Department of Physics, Kyoto University, Kyoto 606-8502, Japan The Institute of Physical and Chemical Research (RIKEN) Wako, Saita...

Chiral Perturbation Theory in a Nuclear Background

We propose a novel way to formulate Chiral Perturbation Theory in a nuclear background, characterized by a static, non-uniform distribution of the baryon number that describes the finite nucleus. In the limiting case of a uniform distribution, the theory reduces to the well-known zerotemperature in-medium ChPT. The proposed approach is used to calculate the self-energy of the charged pion in th...