124737718
Axial anomaly induced suppression of the eta-prime NN vertex
1539153
Regularization for effective field theory with two heavy particles
A regularization for effective field theory with two propagating heavy particles is constructed. This regularization preserves the low-energy analytic structure, implements a low-energy power counting for the one-loop diagrams, and preserves symmetries respected by dimensional regularization.
15695141
Effective field theory dimensional regularization
A Lorentz-covariant regularization scheme for effective field theories with an arbitrary number of propagating heavy and light particles is given. This regularization scheme leaves the low-energy analytic structure of Greens functions intact and preserves all the symmetries of the underlying Lagrangian. The power divergences of regularized loop integrals are controlled by the low-energy kinematic variables. Simple diagrammatic rules are derived for the regularization of arbitrary one-loop graphs and the generalization to higher loops is discussed.
14132577
THE GLOBAL MINIMUM OF THE EFFECTIVE POTENTIAL OF THE MANY-ELECTRON SYSTEM WITH DELTA-INTERACTION
We prove that the global minimum of the real part of the full effective potential of the many electron system with attractive delta interaction is in fact given by the BCS mean field configuration. This is a consequence of a simple bound which is obtained by applying Hadamard's inequality to the functional determinant. The second order Taylor expansion around the minimum is computed.
15055421
Resummation of Feynman diagrams and the inversion of matrices
In many field theoretical models one has to resum two- and four-legged subdiagrams in order to determine their behaviour. In this paper we present a novel formalism which does this in a nice way. It is based on the central limit theorem of probability and an inversion formula for matrices which is obtained by repeated application of the Feshbach projection method. We discuss applications to the Anderson model, to the many-electron system and to the 4-model. In particular, for the many-electron system with attractive delta-interaction, we find that the existence of a BCS gap and a macroscopic value of the Hubbard-Stratonovich field for zero momentum enforce each other.