Geodesic
One-loop effective action for an arbitrary theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 2, pp. 215-231
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Using diagramic approach,we obtain formulas for the divergent part of the one-loop effective action for an arbitrary minimal operator in the four dimensional curved space and an arbitrary nonminimal operator in the flat space. 
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P. I. Pronin; K. V. Stepanyantz. One-loop effective action for an arbitrary theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 2, pp. 215-231. http://geodesic.mathdoc.fr/item/TMF_1996_109_2_a4/

[1] S. Minakshisundaram, J. Ind. Math. Soc., 13 (1949), 41 | MR | Zbl

[2] R. T. Seeley, Amer. Math. Soc., 10 (1967), 288 | MR | Zbl

[3] P. B. Gilkey, J. Differ. Geomet., 10 (1975), 601 ; Duke Mathematical Journal, 47 (1980), 511 ; 48 (1981), 887 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR | Zbl

[4] J. S. Schwinger, Phys. Rev., 82 (1951), 664 | DOI | MR | Zbl

[5] B. S. DeVitt, Dinamicheskaya teoriya grupp i polei, Nauka, M., 1987 | MR

[6] A. O. Barvinsky, G. A. Vilkovisky, Phys. Rep., 119 (1985), 1 | DOI | MR

[7] Yu. N. Obukhov, Nucl. Phys., B 212 (1983), 237 | DOI | MR

[8] N. H. Barth, J. Phys. A: Math. Gen., 20 (1987), 857 ; 875 | DOI | MR | Zbl | Zbl

[9] G. Cognola, S. Zerbini, Phys. Lett., B 195 (1987), 435 ; Phys. Lett., B 214 (1988), 70 | DOI | MR | DOI | MR

[10] V. P. Gusynin, Nucl. Phys., B 333 (1990), 296 | DOI | MR

[11] V. P. Gusynin, E. V. Gorbar, V. V. Romankov, Nucl. Phys., B 362 (1991), 449 | DOI | MR

[12] C. Lee, C. Rim, Nucl. Phys., B 255 (1985), 439 | DOI

[13] I. Jack, H. Osborn, Nucl. Phys., B 249 (1985), 472 | DOI | MR

[14] A. O. Barvinsky, Yu. V. Gusev, G. A. Vilkovisky, V. V. Zhytnikov, Covariant Perturbation Theory. IV: Third Order in Curvature, Report of the University of Manitoba, University of Manitoba, Winnipeg, 1993; J. Math. Phys., 35 (1994), 3525 ; 3543 | DOI | MR | Zbl | MR | Zbl

[15] G. t'Hooft, M. Veltman, Ann. Inst. Henri Poincaré, 20 (1974), 69 | MR

[16] G. t'Hooft, M. Veltman, Nucl. Phys., B44 (1973), 189 ; B62, 444 | MR

[17] I. Jack, H. Osborn, Nucl. Phys., B 207 (1982), 474 | DOI

[18] L. F. Abbott, Nucl. Phys., B 185 (1981), 189 | DOI

[19] P. I. Pronin, K. V. Stepanyantz, “One-loop background calculations in the general field theory”, Gravity, Particles and Space-Time, eds. P. Pronin and G. Sardanasvili, World Scientific, Singapure, 1996, 441 | DOI | MR

[20] E. S. Fradkin, A. A. Tseytlin, Higher Derivative Quantum Gravity: One-loop Counterterms and Asymptotic Freedom, Preprint No 170, P. Lebedev Physical Institute, M., 1981

[21] A. A. Slavnov, Nucl. Phys., B 31 (1971), 301 ; ТМФ, 13 (1972), 174 | DOI | MR

[22] P. I. Pronin, K. V. Stepanyantz, E-print Hep-th 9605206

[23] P. I. Pronin, K. V. Stepanyantz, “New Tensor Package for REDUCE System”, New Computing Technick in Physics Research, V. IV, eds. B. Denby and D. Perred-Gallix, World Scientific, Singapure, 1995, 263

[24] P. I. Pronin, K. V. Stepanyantz, E-print Hep-th 9604038