Renormalized Effective Actions in Radially Symmetric Backgrounds: Exact Calculations Versus Approximation Methods - INSPIRE

DataBETA

Renormalized Effective Actions in Radially Symmetric Backgrounds: Exact Calculations Versus Approximation Methods

Gerald V. Dunne
(
- Connecticut U.
)
,
Jin Hur
(
- Korea Inst. Advanced Study, Seoul
)
,
Choonkyu Lee
(
- Seoul Natl. U.
)
,
Hyunsoo Min
(
- Seoul U.
)

Nov, 2007

30 pages

Published in:

Phys.Rev.D 77 (2008) 045004

e-Print:

0711.4877 [hep-th]

DOI:

10.1103/PhysRevD.77.045004

View in:

ADS Abstract Service

reference search17 citations

Citations per year

Abstract: (arXiv)

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 fields. Our method proves to be particularly effective when it is used in conjunction with a systematic WKB series for the large partial wave contribution to the effective action. By comparing these numerically exact calculations against the predictions based on the large mass expansion and derivative expansion, we discuss the validity ranges of the latter approximation methods.

11.15.-q
12.38.-t
11.15.Ha
gauge field theory: Yang-Mills
background field
perturbation theory: higher-order
symmetry
effective action
renormalization
angular momentum

References(39)

Figures(0)

Precise quark mass dependence of instanton determinant

Gerald V. Dunne
(
- Connecticut U.
)
,
Jin Hur
(
- Seoul Natl. U.
)
,
Choonkyu Lee
(
- Seoul Natl. U.
)
,
Hyunsoo Min
(
- Seoul U. and
- Connecticut U.
)

- Phys.Rev.Lett. 94 (2005) 072001
•
e-Print:
- hep-th/0410190
•
DOI:
- 10.1103/PhysRevLett.94.072001

Calculation of QCD instanton determinant with arbitrary mass

Gerald V. Dunne
(
- Connecticut U.
)
,
Jin Hur
(
- Seoul Natl. U.
)
,
Choonkyu Lee
(
- Seoul Natl. U.
)
,
Hyunsoo Min
(
- Seoul U. and
- Connecticut U.
)

- Phys.Rev.D 71 (2005) 085019
•
e-Print:
- hep-th/0502087
•
DOI:
- 10.1103/PhysRevD.71.085019

Renormalized Effective Actions in Radially Symmetric Backgrounds. I. Partial Wave Cutoff Method

Gerald V. Dunne
(
- Connecticut U. and
- Adelaide U.
)
,
Jin Hur
(
- Seoul Natl. U.
)
,
Choonkyu Lee
(
- Seoul Natl. U.
)

- Phys.Rev.D 74 (2006) 085025
•
e-Print:
- hep-th/0609118
•
DOI:
- 10.1103/PhysRevD.74.085025

Computation of the Quantum Effects Due to a Four-Dimensional Pseudoparticle

Gerard 't Hooft
(
- Harvard U.
)

- Phys.Rev.D 14 (1976) 3432-3450,
- Phys.Rev.D 18 (1978) 2199 (erratum),
•
DOI:
- 10.1103/PhysRevD.14.3432

Pseudoparticle Solutions of the Yang-Mills Equations

A.A. Belavin
(
- Landau Inst.
)
,
Alexander M. Polyakov
(
- Landau Inst.
)
,
A.S. Schwartz
(
- Landau Inst.
)
,
Yu.S. Tyupkin
(
- Landau Inst.
)

- Phys.Lett.B 59 (1975) 85-87,
- Also in *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and Particles*, 739-741, and in *Mohapatra, R. N. ( Ed.), Lai, C. H. ( Ed.): Gauge Theories Of Fundamental Interactions*, 371-373,
•
DOI:
- 10.1016/0370-2693(75)90163-X

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

Gerald V. Dunne
(
- Connecticut U.
)
,
Jin Hur
(
- Seoul Natl. U.
)
,
Choonkyu Lee
(
- Seoul Natl. U.
)
,
Hyunsoo Min
(
- Seoul U. and
- Connecticut U.
)

- Phys.Lett.B 600 (2004) 302-313
•
e-Print:
- hep-th/0407222
•
DOI:
- 10.1016/j.physletb.2004.09.012

Integration in functional spaces and it applications in quantum physics

- J.Math.Phys. 1 (1960) 48
•
DOI:
- 10.1063/1.1703636

- Proc.Am.Math.Soc. 65 299

- Invent.Math. 88 447

Functional determinants by contour integration methods

Klaus Kirsten
(
- Leipzig, Max Planck Inst. and
- Baylor U.
)
,
Alan J. McKane
(
- Manchester U.
)

- Annals Phys. 308 (2003) 502-527
•
e-Print:
- math-ph/0305010
•
DOI:
- 10.1016/S0003-4916(03)00149-0

Functional determinants in quantum field theory

Gerald V. Dunne
(
- Heidelberg U.
)

- J.Phys.A 41 (2008) 304006
•
e-Print:
- 0711.1178
•
DOI:
- 10.1088/1751-8113/41/30/304006

Massive field contributions to the QCD vacuum tunneling amplitude

O-Kab Kwon
(
- Seoul Natl. U.
)
,
Choon-kyu Lee
(
- Seoul Natl. U. and
- Korea Inst. Advanced Study, Seoul
)
,
Hyunsoo Min
(
- Seoul U.
)

- Phys.Rev.D 62 (2000) 114022
•
e-Print:
- hep-ph/0008028
•
DOI:
- 10.1103/PhysRevD.62.114022

Generalized Schwinger-dewitt Expansions and Effective Field Theories

- Phys.Rev.D 39 (1989) 1701-1715
•
DOI:
- 10.1103/PhysRevD.39.1701

- Fortsch.Phys. 32 585

Consequences of Dirac's theory of positrons

W. Heisenberg
(
- Leipzig U.
)
,
H. Euler
(
- Leipzig U.
)

- Z.Phys. 98 (1936) 11-12, 714-732
•
e-Print:
- physics/0605038
•
DOI:
- 10.1007/BF01343663

On gauge invariance and vacuum polarization

Julian S. Schwinger
(
- Harvard U.
)

- Phys.Rev. 82 (1951) 664-679,
•
DOI:
- 10.1103/PhysRev.82.664

Exact Results for Effective Lagrangians

M.R. Brown
(
- Oxford U.
)
,
M.J. Duff
(
- Oxford U.
)

- Phys.Rev.D 11 (1975) 2124-2135
•
DOI:
- 10.1103/PhysRevD.11.2124

Heisenberg-Euler effective Lagrangians: Basics and extensions

Gerald V. Dunne
(
- Connecticut U.
)

- In *Shifman, M. (ed.) et al.: From fields to strings, vol. 1* 445-522
•
e-Print:
- hep-th/0406216
•
DOI:
- 10.1142/9789812775344_0014

Effective energy for QED in (2+1)-dimensions with semilocalized magnetic fields: A Solvable model

- Phys.Rev.D 52 (1995) R3163-R3167
•
e-Print:
- hep-th/9506085
•
DOI:
- 10.1103/PhysRevD.52.R3163

Borel summation of the derivative expansion and effective actions

Gerald V. Dunne
(
- Connecticut U.
)
,
Theodore M. Hall
(
- Connecticut U.
)

- Phys.Rev.D 60 (1999) 065002
•
e-Print:
- hep-th/9902064
•
DOI:
- 10.1103/PhysRevD.60.065002

Constant Gauge Fields and their Quantum Fluctuations

H. Leutwyler
(
- Bern U.
)

- Nucl.Phys.B 179 (1981) 129-170
•
DOI:
- 10.1016/0550-3213(81)90252-2

Vacuum Behavior in Quantum Chromodynamics

Asim Yildiz
(
- Harvard U.
)
,
Paul H. Cox
(
- New Hampshire U.
)

- Phys.Rev.D 21 (1980) 1095
•
DOI:
- 10.1103/PhysRevD.21.1095

Derivative expansion of one loop effective actions for Yang-Mills fields

- J.Math.Phys. 39 (1998) 4430-4448
•
DOI:
- 10.1063/1.532518

Covariant derivative expansion of the heat kernel

L.L. Salcedo
(
- Granada U.
)

- Eur.Phys.J.C 37 (2004) 511-523
•
e-Print:
- hep-th/0409140
•
DOI:
- 10.1140/epjc/s2004-02021-2

Light Quarks and Instantons

Robert D. Carlitz
(
- Pittsburgh U.
)
,
Dennis B. Creamer
(
- Pittsburgh U.
)

- Annals Phys. 118 (1979) 429
•
DOI:
- 10.1016/0003-4916(79)90133-7

1-25 of 39
1
2
25 / page