Abstract
The higher derivative expansion of the one-loop effective action for an external scalar potential is calculated to order {ie111-1}, using the string-inspired Bern-Kosower method in the first quantized path integral formulation. Comparisons are made with standard heat kernel calculations and with the corresponding Feynman diagrammatic calculation in order to show the efficiency of the present method.
Similar content being viewed by others
References
Z. Bern, D.A. Kosower: Phys. Rev. Lett. 66 (1991) 1669; Z. Bern, D.A. Kosower: Nucl. Phys. B379 (1992) 451; Z. Bern: UCLA-93-TEP-5
Z. Bern, D.C. Dunbar: Nucl. Phys. B379 (1992) 562
Z. Bern, L. Dixon, D.A. Kosower: Phys. Rev. Lett. 70 (1993) 2667; Z. Bern, L. Dixon, D.A. Kosower: UCLA-93-TEP-40
Z. Bern, D.C. Dunbar, T. Shimada: Phys. Lett. B312 (1993) 277
M.J. Strassler: Nucl. Phys. B385 (1992) 145
M.J. Strassler: SLAC-PUB-5978 (1992)
M.G. Schmidt, C. Schubert: Phys. Lett. B318 (1993) 438
A.M. Polyakov: Harwood 1987
L. Carson: Phys. Rev. D42 (1990) 2853
A.I. Bochkarev, G.G. Tsitsishvili: Phys. Rev. D40 (1989) 1378
L. Carson, X. Li, L. McLerran, R. Wang: Phys. Rev. 42D (1990) 2127; J. Baacke, S. Junker: Phys. Rev. D49 (1994) 2055
J. Kripfganz, A. Laser, M.G. Schmidt: in preparation
D. Fliegner, M.G. Schmidt, C. Schubert: in preparation
A.A. Belkov, D. Ebert, A.V. Lanyov, A. Schaale: Int. J. Mod. Phys. A8 (1993) 1313
J.A. Zuk: Nucl. Phys. B280 (1987) 125
L.H. Chan: Phys. Rev. Lett. 57 (1986) 1199
J. Caro, L.L. Salcedo: Phys. Lett. B309 (1993) 359
S. Iso, C. Itoi, H. Mukaida: Nucl. Phys. B346 (1990) 293
R.P. Feynman: Phys. Rev. 80 (1950) 440
E.S. Fradkin: Nucl. Phys. 76 (1966) 588; C.J. Isham: in: quantum Field theory and quantum statistics, I. Batalin, C.J. Isham, G.A. Vilkoviskii (eds). Bristol and Hilger 1987
L. Alvarez-Gaumé: Commun. Math. Phys. 90 (1983) 161
R.D. Ball: Phys. Rep. 182 (1989) 1
L. Carson, L. McLerran: Phys. Rev. D41 (1990) 647
R.I. Nepomechie: Phys. Rev. D31 (1985) 3291
J.A. M. Vermaseren: FORM Manual, version 1, 1991
E. Onofri: Am. J. Phys. 46 (1978) 379
K. Kikkawa: Prog. Theor. Phys. 56 (1976) 947; R. MacKenzie, F. Wilczek, A. Zee: Phys. Rev. Lett. 53 (1984) 2203; C. M. Fraser: Z. Phys. C 28 (1985) 101
C. Itzykson, J. Zuber: New York McGraw-Hill 1980
C. S. Lam: MCGILL-93-20
Author information
Authors and Affiliations
Additional information
Partially supported by funds provided by the Deutsche Forschungsgemeinschaft
Rights and permissions
About this article
Cite this article
Fliegner, D., Schmidt, M.G. & Schubert, C. The higher derivative expansion of the effective action by the string-inspired method. I. Z. Phys. C - Particles and Fields 64, 111–116 (1994). https://doi.org/10.1007/BF01557242
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01557242