Loop Corrections and Bosonization Formulae

Path Integral Bosonization of the ’t Hooft Determinant: Quasiclassical Corrections

The many-fermion Lagrangian which includes the ’t Hooft six-quark flavor mixing interaction (Nf = 3) and the UL(3)×UR(3) chiral symmetric four-quark Nambu – Jona-Lasinio (NJL) type interactions is bosonized by the path integral method. The method of the steepest descents is used to derive the effective quark-mesonic Lagrangian with linearized many-fermion vertices. We obtain, additionally to th...

Loop Corrections: Summary

Current and future colliders will provide high precision experimental data. In order to use the high experimental precision it has to be matched with theoretical predictions at the same level of accuracy or better. This involves the calculation of loop corrections at increasingly higher order. We briefly review the status of the field, especially in view of the calculations presented at this co...

Loop corrections for approximate inference

We propose a method for improving approximate inference methods that corrects for the in uence of loops in the graphical model. The method is applicable to arbitrary factor graphs, provided that the size of the Markov blankets is not too large. It is an alternative implementation of an idea introduced recently by Montanari and Rizzo (2005). In its simplest form, which amounts to the assumption ...

Additions and Corrections

Loop Corrections to Scalar Quintessence Potentials

Observations indicate that dark energy constitutes a substantial fraction of our Universe [1, 2, 3, 4, 5]. The range of possible candidates includes a cosmological constant and more flexible some form of dark energy with time dependent equation of state, called quintessence [6]. Commonly, realizations of quintessence scenarios feature a light scalar field [7, 8, 9]. The evolution of the scalar ...