Connecting the Chiral and Heavy Quark Limits : Full Mass Dependence of Fermion Determinant in an Instanton Background

Details Connecting the Chiral and Heavy Quark Limits : Full Mass Dependence of Fermion Determinant in an Instanton Background Connecting the Chiral and Heavy Quark Limits : Full Mass Dependence of Fermion Determinant in an Instanton Background

2005-11-17

arxiv.org/abs/hep-th/0511181v1

J.Phys.A39:6283-6292,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 5 figs; talk at QFEXT05, Barcelona

Scientific paper

10.1088/0305-4470/39/21/S19

This talk reports work done in collaboration with Jin Hur, Choonkyu Lee and Hyunsoo Min concerning the computation of the precise mass dependence of the fermion determinant for quarks in the presence of an instanton background. The result interpolates smoothly between the previously known chiral and heavy quark limits of extreme small and large mass. The computational method makes use of the fact that the single instanton background has radial symmetry, so that the computation can be reduced to a sum over partial waves of logarithms of radial determinants, each of which can be computed numerically in an efficient manner using a theorem of Gelfand and Yaglom. The bare sum over partial waves is divergent and must be regulated and renormalized. We use the angular momentum cutoff regularization and renormalization scheme. Our results provide an extension of the Gelfand-Yaglom result to higher dimensional separable differential operators. I also comment on the application of this approach to a wide variety of fluctuation determinant computations in quantum field theory.

Affiliated with

Also associated with

No associations

Rating

Connecting the Chiral and Heavy Quark Limits : Full Mass Dependence of Fermion Determinant in an Instanton Background does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Connecting the Chiral and Heavy Quark Limits : Full Mass Dependence of Fermion Determinant in an Instanton Background, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Connecting the Chiral and Heavy Quark Limits : Full Mass Dependence of Fermion Determinant in an Instanton Background will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-710889