# Instanton determinant with arbitrary quark mass: WKB phase-shift method and derivative expansion

@article{Dunne2004InstantonDW, title={Instanton determinant with arbitrary quark mass: WKB phase-shift method and derivative expansion}, author={Gerald V. Dunne and Jin Hur and Choonkyu Lee and Hyunsoo Min}, journal={Physics Letters B}, year={2004}, volume={600}, pages={302-313} }

## 15 Citations

### Precise quark-mass dependence of the instanton determinant.

- PhysicsPhysical review letters
- 2005

The fermion determinant in an instanton background for a quark field of arbitrary mass is determined exactly using an efficient numerical method to evaluate the determinant of a partial-wave radial…

### Connecting the chiral and heavy quark limits: Full mass dependence of fermion determinant in an instanton background

- Physics
- 2005

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…

### Renormalized effective actions in radially symmetric backgrounds: Partial wave cutoff method

- Physics, Mathematics
- 2006

The computation of the one-loop effective action in a radially symmetric background can be reduced to a sum over partial-wave contributions, each of which is the logarithm of an appropriate…

### Fast way to compute functional determinants of radially symmetric partial differential operators in general dimensions

- Physics
- 2008

Recently the partial-wave cutoff method was developed as a new calculational scheme for a functional determinant of quantum field theory in radial backgrounds. For the contribution given by an…

### On the prefactor in false vacuum decay

- Physics
- 2006

This paper gives a survey of recent work in collaboration with G Dunne concerning a new method for computing determinants in quantum field-theoretic applications, using angular momentum cut-off…

### Beyond the thin-wall approximation : Precise numerical computation of prefactors in false vacuum decay

- Physics
- 2005

We present a general numerical method for computing precisely the false vacuum decay rate, including the prefactor due to quantum fluctuations about the classical bounce solution, in a…

### Renormalized effective actions in radially symmetric backgrounds: Exact calculations versus approximation methods

- Physics
- 2008

Our previously developed calculational method (the partial-wave cutoff method) is employed to evaluate explicitly scalar one-loop effective actions in a class of radially symmetric background gauge…

### Do instantons like a colorful background?

- Physics
- 2006

We investigate chiral symmetry breaking and color symmetry breaking in QCD. The effective potential of the corresponding scalar condensates is discussed in the presence of non-perturbative…

### Nonperturbative study of SU(N) Yang–Mills theory with gauge invariant condensates of mass dimension two

- Physics
- 2010

I study the interrelation between the dimension two gluon condensate and other phenomena occurring in SU(N) Yang–Mills theories. This condensate has turned out to be essential for a nonperturbative…

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