Publication: Non-local low-energy effective action for gravity with torsion
Loading...
Official URL
Full text at PDC
Publication Date
1999-12
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing Ltd
Citations
Exportar
Abstract
In this work we calculate the low-energy effective action for gravity with torsion, obtained after the integration of scalar and fermionic matter fields, using the local momentum representation based on the Riemann normal coordinates expansion. By considering this expansion around different spacetime points,ve also compute the non-local terms together with the more usual divergent ones. Finally, we discuss the applicability of our results to the calculation of particle production probabilities.
Description
© 1999 IOP Publishing Ltd.
We thank I L Shapiro for his comments and suggestions on several points of the paper. This work has been partially supported by the Ministerio de Educación y Ciencia (Spain) (CICYT AEN96-1634). ALM acknowledges support from SEUID-Royal Society.
UCM subjects
Unesco subjects
Keywords
Citation
[1] Hehl F W, Heyde P, Kerlick G D and Nester J M 1976 Rev. Mod. Phys. 48 393
[2] Buchbinder IL, Odintsov SDand Shapiro IL1992 Effective Action in Quantum Gravity (Bristol: IOP Publishing)
[3] ’t Hooft G and Veltman M 1974 Ann. Inst. H Poincar´e 20 245
[4] Capper D M, Leibrandt G and Ram´on Medrano M 1973 Phys. Rev. D 8 4320 Brown M R 1973 Nucl. Phys. 56 194 Capper D M, Duff M J and Halpern L 1974 Phys. Rev. D 10 461 Capper D M and Duff M J 1974 Nucl. Phys. B 82 147
[5] Deser S and van Niewenhuizen P 1974 Phys. Rev. Lett. 32 245
Deser S and van Niewenhuizen P 1974 Phys. Rev. D 10 401
Deser S and van Niewenhuizen P 1974 10 411
Deser S, Tsao H S and van Niewenhuizen P 1974 Phys. Rev. D 10 3337
[6] Schwinger J 1951 Phys. Rev. 82 664
[7] DeWitt B S 1965 Dynamical Theory of Groups and Fields (New York: Gordon and Breach)
[8] Avramidi I G 1991 Nucl. Phys. B 355 712
[9] Barvinsky A O and Vilkovisky G A 1987 Nucl. Phys. B 282 163
Barvinsky A O and Vilkovisky G A 1990 Nucl. Phys. B 333 471
Barvinsky A O and Vilkovisky G A 1990 Nucl. Phys. B 333 512
Barvinsky A O, Gusev Yu V, Vilkovisky G A and Zhytnikov V V 1995 Nucl. Phys. B 439 561
[10] Bunch T S and Parker L 1979 Phys. Rev. D 20 2499
[11] Dobado A and Maroto A L 1999 Phys. Rev. D to appear (Dobado A and Maroto A L 1998 Preprint gr-qc/9803076)
[12] Heisenberg W and Euler H 1936 Z. Phys. 98 714 Dobado A, G´omez-Nicola A, Maroto A L and Pel´aez J R 1997 Effective Lagrangians for the Standard Model (Berlin: Springer)
[13] Birrell N D andDaviesPCW1982 Quantum Fields in Curved Space (Cambridge: Cambridge University Press)
[14] Petrov A Z 1969 Einstein Spaces (Oxford: Pergamon)
[15] Eisenhart L P 1964 Riemannian Geometry (Princeton, NJ: Princeton University Press)
[16] Cognola G and Zerbini S 1987 Phys. Lett. B 195 435
[17] Vainshtein A I, Zakharov V I, Novikov V A and Shifman M A 1984 Sov. J. Nucl. Phys. 39 77 Zuk J A 1985 Phys. Rev. D 32 2653
[18] Ball R D 1989 Phys. Rep 182 1
[19] Deser S, Duff M J and Isham C J 1976 Nucl. Phys. B 111 45
[20] Appelquist T and Carazzone J 1975 Phys. Rev. D 11 2856
[21] Dobado A and Maroto A L 1996 Phys. Rev. D 54 5185
[22] Duff M J 1977 Nucl. Phys. B 215 334
[23] Buchbinder I L and Shapiro I L 1985 Phys. Lett. B 151 263
Buchbinder I L and Shapiro I L 1990 Class. Quantum Grav. 7 1197
Buchbinder I L, Odintsov S D and Shapiro I L 1985 Phys. Lett. B 162 92
[24] Jack I and Osborn H 1984 Nucl. Phys. B 234 331
[25] Goldman T, P´erez-Mercader J, Cooper F and Mart´ın-Nieto M 1992 Phys. Lett. B 281 219
[26] ’t Hooft G and Veltman M 1972 Nucl. Phys. B 44 189 ’t Hooft G and Veltman M 1979 Nucl. Phys. B 153 365 Pascual P and Tarrach R 1984 QCD: Renormalization for the Practitioner (Berlin: Springer