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Volumn 2009, Issue 3, 2009, Pages

Gravitational corrections to the Euler-Heisenberg Lagrangian

Author keywords

Electromagnetic processes and properties; Models of quantum gravity; Nonperturbative effects

Indexed keywords


EID: 67649512597     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/03/086     Document Type: Article
Times cited : (49)

References (91)
  • 1
    • 34250928761 scopus 로고
    • Consequences of Dirac's theory of positrons
    • W. Heisenberg and H. Euler, 1936 Consequences of Dirac's theory of positrons, Z. Phys. 98 714 [physics/0605038]
    • (1936) Z. Phys. , vol.98 , Issue.11-12 , pp. 714
    • Heisenberg, W.1    Euler, H.2
  • 2
    • 0001942423 scopus 로고
    • The electrodynamics of the vacuum based on the quantum theory of the electron
    • V. Weisskopf, 1936 The electrodynamics of the vacuum based on the quantum theory of the electron, Kong. Dans. Vid. Selsk. Math-fys. Medd. XIV 6, english translation in Early Quantum Electrodynamics: A Source Book, A.I. Miller, Cambridge University Press, Cambridge U.K. 1994
    • (1936) Kong. Dans. Vid. Selsk. Math-fys. Medd. XIV , vol.6
    • Weisskopf, V.1
  • 3
    • 0347162275 scopus 로고
    • On gauge invariance and vacuum polarization
    • J.S. Schwinger, 1951 On gauge invariance and vacuum polarization, Phys. Rev. 82 664
    • (1951) Phys. Rev. , vol.82 , pp. 664
    • Schwinger, J.S.1
  • 6
    • 85014659898 scopus 로고    scopus 로고
    • G.V. Dunne, 2004 Heisenberg-Euler effective Lagrangians: basics and extensions, in Ian Kogan Memorial Collection, From Fields to Strings: Circumnavigating Theoretical Physics Vol. I, M.A. Shifman et al. (eds.), World Scientific, Singapore, pg. 445 [hep-th/0406216]
    • (2004) Heisenberg-Euler Effective Lagrangians: Basics and Extensions , pp. 445
    • Dunne, G.V.1
  • 7
    • 0042428928 scopus 로고    scopus 로고
    • On the low-energy limit of the QED N-photon amplitudes
    • L.C. Martin, C. Schubert and V.M. Villanueva Sandoval, 2003 On the low-energy limit of the QED N-photon amplitudes, Nucl. Phys. B 668 335 [hep-th/0301022]
    • (2003) Nucl. Phys. , vol.668 , pp. 335
    • Martin, L.C.1    Schubert, C.2    Sandoval Villanueva, V.M.3
  • 8
    • 0000800283 scopus 로고
    • Non-linear interactions between electromagnetic fields
    • R. Karplus and M. Neuman, 1950 Non-linear interactions between electromagnetic fields, Phys. Rev. 80 380
    • (1950) Phys. Rev. , vol.80 , pp. 380
    • Karplus, R.1    Neuman, M.2
  • 9
    • 36149013088 scopus 로고
    • The scattering of light by light
    • R. Karplus and M. Neuman, 1951 The scattering of light by light, Phys. Rev. 83 776
    • (1951) Phys. Rev. , vol.83 , pp. 776
    • Karplus, R.1    Neuman, M.2
  • 10
    • 51649198700 scopus 로고
    • Dispersive Approach to Photon-Photon Scattering
    • B. de Tollis, 1964 Dispersive Approach to Photon-Photon Scattering, Nuovo Cim. 32 757; The Scattering of Photons by Photons, Nuovo Cim. 35 1965 1182
    • (1964) Nuovo Cim. , vol.32 , Issue.3 , pp. 757
    • De Tollis, B.1
  • 11
    • 35949022464 scopus 로고
    • Photon-photon scattering at high-energy and fixed angle
    • H. Cheng, E.-C. Tsai and X. Zhu, 1982 Photon-photon scattering at high-energy and fixed angle, Phys. Rev. D 26 922
    • (1982) Phys. Rev. , vol.26 , pp. 922
    • Cheng, H.1    Tsai, E.-C.2    Zhu, X.3
  • 12
    • 33751178614 scopus 로고    scopus 로고
    • Numerical integration of one-loop Feynman diagrams for N- photon amplitudes
    • Z. Nagy and D.E. Soper, 2006 Numerical integration of one-loop Feynman diagrams for N- photon amplitudes, Phys. Rev. D 74 093006 [hep-ph/0610028]
    • (2006) Phys. Rev. , vol.74 , pp. 093006
    • Nagy, Z.1    Soper, D.E.2
  • 14
    • 34547665038 scopus 로고    scopus 로고
    • Numerical Evaluation of Six-Photon Amplitudes
    • G. Ossola, C.G. Papadopoulos and R. Pittau, 2007 Numerical Evaluation of Six-Photon Amplitudes, J. High Energy Phys. JHEP07(2007)085 [0704.1271]
    • (2007) J. High Energy Phys. , vol.2007 , Issue.7 , pp. 085
    • Ossola, G.1    Papadopoulos, C.G.2    Pittau, R.3
  • 15
    • 38949150187 scopus 로고    scopus 로고
    • Six-photon amplitudes in scalar QED
    • C. Bernicot and J.P. Guillet, 2008 Six-photon amplitudes in scalar QED, J. High Energy Phys. JHEP01(2008)059 [0711.4713]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.1 , pp. 059
    • Bernicot, C.1    Guillet, J.P.2
  • 16
    • 0001245932 scopus 로고
    • One loop multi-photon helicity amplitudes
    • G. Mahlon, 1994 One loop multi-photon helicity amplitudes, Phys. Rev. D 49 2197 [hep-ph/9311213]
    • (1994) Phys. Rev. , vol.49 , pp. 2197
    • Mahlon, G.1
  • 17
    • 67649487084 scopus 로고
    • Use of recursion relations to compute one loop helicity amplitudes
    • G. Mahlon, 1994 Use of recursion relations to compute one loop helicity amplitudes, FERMILAB-CONF-94-421-T, in Proceeding of 4th International Conference on Physics Beyond the Standard Model, Lake Tahoe, pg. 475, J.F. Gunion, T. Han and J. Ohnemus eds., World Scientific 1995 [hep-ph/9412350]
    • (1994) Proceeding of 4th International Conference on Physics beyond the Standard Model , pp. 475
    • Mahlon, G.1
  • 18
    • 67649522404 scopus 로고    scopus 로고
    • Simplicity in the structure of QED and gravity amplitudes
    • S. Badger, N.E.J. Bjerrum-Bohr and P. Vanhove, 2009 Simplicity in the structure of QED and gravity amplitudes, J. High Energy Phys. JHEP02(2009)038 [0811.3405]
    • (2009) J. High Energy Phys. , vol.2009 , Issue.2 , pp. 038
    • Badger, S.1    Bjerrum-Bohr, N.E.J.2    Vanhove, P.3
  • 19
    • 51649175716 scopus 로고
    • Nonlinear effects in quantum electrodynamics
    • V. Costantini, B. De Tollis and G. Pistoni, 1971 Nonlinear effects in quantum electrodynamics, Nuovo Cim. A 2 733
    • (1971) Nuovo Cim. , vol.2 , pp. 733
    • Costantini, V.1    De Tollis, B.2    Pistoni, G.3
  • 20
    • 0000571168 scopus 로고
    • The Lagrange function of an intensive electromagnetic field and quantum electrodynamics at small distances
    • V.I. Ritus, 1975 The Lagrange function of an intensive electromagnetic field and quantum electrodynamics at small distances, Sov. Phys. JETP 42 774
    • (1975) Sov. Phys. JETP , vol.42 , pp. 774
    • Ritus, V.I.1
  • 22
    • 0031572136 scopus 로고    scopus 로고
    • Constant external fields in gauge theory and the spin 0, 1/2, 1 path integrals
    • M. Reuter, M.G. Schmidt and C. Schubert, 1997 Constant external fields in gauge theory and the spin 0, 1/2, 1 path integrals, Annals Phys. 259 313 [hep-th/9610191]
    • (1997) Annals Phys. , vol.259 , pp. 313
    • Reuter, M.1    Schmidt, M.G.2    Schubert, C.3
  • 23
    • 0000520497 scopus 로고    scopus 로고
    • Two-loop Euler-Heisenberg Lagrangian in dimensional regularization
    • D. Fliegner, M. Reuter, M.G. Schmidt and C. Schubert, 1997 Two-loop Euler-Heisenberg Lagrangian in dimensional regularization, Theor. Math. Phys. 113 1442 [hep-th/9704194]
    • (1997) Theor. Math. Phys. , vol.113 , pp. 1442
    • Fliegner, D.1    Reuter, M.2    Schmidt, M.G.3    Schubert, C.4
  • 24
    • 0000953530 scopus 로고
    • On the Relation between the Quantum Electrodynamics of an Intense Field and the Quantum Electrodynamics at Small Distances
    • V.I. Ritus, 1977 On the Relation Between the Quantum Electrodynamics of an Intense Field and the Quantum Electrodynamics at Small Distances (in Russian), Zh. Eksp. Teor. Fiz. 73 807
    • (1977) Zh. Eksp. Teor. Fiz. , vol.73 , Issue.3 , pp. 807
    • Ritus, V.I.1
  • 26
    • 0001398449 scopus 로고
    • Pair production at strong coupling in weak external fields
    • I.K. Affleck, O. Alvarez and N.S. Manton, 1982 Pair production at strong coupling in weak external fields, Nucl. Phys. B 197 509
    • (1982) Nucl. Phys. , vol.197 , pp. 509
    • Affleck, I.K.1    Alvarez, O.2    Manton, N.S.3
  • 27
    • 23044497420 scopus 로고    scopus 로고
    • Low-energy dynamics in N=2 super QED: Two-loop approximation
    • S.M. Kuzenko and I.N. McArthur, 2003 Low-energy dynamics in N=2 super QED: two-loop approximation, J. High Energy Phys. JHEP10(2003)029 [hep-th/0308136]
    • (2003) J. High Energy Phys. , vol.2003 , Issue.10 , pp. 029
    • Kuzenko, S.M.1    McArthur, I.N.2
  • 28
    • 34547596304 scopus 로고    scopus 로고
    • Supersymmetric Euler-Heisenberg effective action: Two-loop results
    • S.M. Kuzenko and S.J. Tyler, 2007 Supersymmetric Euler-Heisenberg effective action: two-loop results, J. High Energy Phys. JHEP05(2007)081 [hep-th/0703269]
    • (2007) J. High Energy Phys. , vol.2007 , Issue.5 , pp. 081
    • Kuzenko, S.M.1    Tyler, S.J.2
  • 29
    • 0001440593 scopus 로고
    • QED Vacuum Polarization in a Background Gravitational Field and Its Effect on the Velocity of Photons
    • I.T. Drummond and S.J. Hathrell, 1980 QED Vacuum Polarization in a Background Gravitational Field and Its Effect on the Velocity of Photons, Phys. Rev. D 22 343
    • (1980) Phys. Rev. , vol.22 , pp. 343
    • Drummond, I.T.1    Hathrell, S.J.2
  • 30
    • 0002299639 scopus 로고
    • Speed of light in nontrivial vacua
    • J.I. Latorre, P. Pascual and R. Tarrach, 1995 Speed of light in nontrivial vacua, Nucl. Phys. B 437 60 [hep-th/9408016]
    • (1995) Nucl. Phys. , vol.437 , pp. 60
    • Latorre, J.I.1    Pascual, P.2    Tarrach, R.3
  • 31
    • 0542418876 scopus 로고    scopus 로고
    • Light propagation in non-trivial QED vacua
    • W. Dittrich and H. Gies, 1998 Light propagation in non-trivial QED vacua, Phys. Rev. D 58 025004 [hep-ph/9804375]
    • (1998) Phys. Rev. , vol.58 , pp. 025004
    • Dittrich, W.1    Gies, H.2
  • 32
    • 0030569817 scopus 로고    scopus 로고
    • 'Faster than light' photons in gravitational fields: Causality, anomalies and horizons
    • G.M. Shore, 1996 'Faster than light' photons in gravitational fields: causality, anomalies and horizons, Nucl. Phys. B 460 379 [gr-qc/9504041]
    • (1996) Nucl. Phys. , vol.460 , pp. 379
    • Shore, G.M.1
  • 33
    • 34447547761 scopus 로고    scopus 로고
    • Superluminality and UV completion
    • G.M. Shore, 2007 Superluminality and UV completion, Nucl. Phys. B 778 219 [hep-th/0701185]
    • (2007) Nucl. Phys. , vol.778 , pp. 219
    • Shore, G.M.1
  • 34
    • 34848816257 scopus 로고    scopus 로고
    • Causality and micro-causality in curved spacetime
    • T.J. Hollowood and G.M. Shore, 2007 Causality and micro-causality in curved spacetime, Phys. Lett. B 655 67 [0707.2302]
    • (2007) Phys. Lett. , vol.655 , pp. 67
    • Hollowood, T.J.1    Shore, G.M.2
  • 35
    • 39149090319 scopus 로고    scopus 로고
    • The refractive index of curved spacetime: The fate of causality in QED
    • T.J. Hollowood and G.M. Shore, 2008 The refractive index of curved spacetime: the fate of causality in QED, Nucl. Phys. B 795 138 [0707.2303]
    • (2008) Nucl. Phys. , vol.795 , pp. 138
    • Hollowood, T.J.1    Shore, G.M.2
  • 36
    • 63149102154 scopus 로고    scopus 로고
    • The causal structure of QED in curved spacetime: Analyticity and the refractive index
    • T.J. Hollowood and G.M. Shore, 2008 The causal structure of QED in curved spacetime: analyticity and the refractive index, J. High Energy Phys. JHEP12(2008)091 [0806.1019]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.12 , pp. 091
    • Hollowood, T.J.1    Shore, G.M.2
  • 37
    • 0002031868 scopus 로고
    • The generalized Schwinger-Dewitt technique in gauge theories and quantum gravity
    • A.O. Barvinsky and G.A. Vilkovisky, 1985 The generalized Schwinger-Dewitt technique in gauge theories and quantum gravity, Phys. Rept. 119 1
    • (1985) Phys. Rept. , vol.119 , pp. 1
    • Barvinsky, A.O.1    Vilkovisky, G.A.2
  • 38
    • 12944331931 scopus 로고
    • Covariant perturbation theory. 2: Second order in the curvature. General algorithms
    • A.O. Barvinsky and G.A. Vilkovisky, 1990 Covariant perturbation theory. 2: second order in the curvature. General algorithms, Nucl. Phys. B 333 471
    • (1990) Nucl. Phys. , vol.333 , pp. 471
    • Barvinsky, A.O.1    Vilkovisky, G.A.2
  • 39
    • 0000888852 scopus 로고
    • Covariant perturbation theory. 3: Spectral representations of the third order form-factors
    • A.O. Barvinsky and G.A. Vilkovisky, 1990 Covariant perturbation theory. 3: spectral representations of the third order form-factors, Nucl. Phys. B 333 512
    • (1990) Nucl. Phys. , vol.333 , pp. 512
    • Barvinsky, A.O.1    Vilkovisky, G.A.2
  • 41
    • 54349086034 scopus 로고    scopus 로고
    • Heat kernel expansion in the covariant perturbation theory
    • Y.V. Gusev, 2009 Heat kernel expansion in the covariant perturbation theory, Nucl. Phys. B 807 566 [0811.1063]
    • (2009) Nucl. Phys. , vol.807 , pp. 566
    • Gusev, Y.V.1
  • 42
    • 84972495846 scopus 로고
    • The spectral geometry of a Riemannian manifold
    • P.B. Gilkey, 1975 The spectral geometry of a Riemannian manifold, J. Diff. Geom. 10 601
    • (1975) J. Diff. Geom. , vol.10 , pp. 601
    • Gilkey, P.B.1
  • 43
    • 7044233648 scopus 로고    scopus 로고
    • Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
    • F. Bastianelli, S. Frolov and A.A. Tseytlin, 2000 Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence, J. High Energy Phys. JHEP02(2000)013 [hep-th/0001041]
    • (2000) J. High Energy Phys. , vol.2000 , Issue.2 , pp. 013
    • Bastianelli, F.1    Frolov, S.2    Tseytlin, A.A.3
  • 44
    • 0030537286 scopus 로고    scopus 로고
    • A New algebraic approach for calculating the heat kernel in quantum gravity
    • I.G. Avramidi, 1996 A New algebraic approach for calculating the heat kernel in quantum gravity, J. Math. Phys. 37 374 [hep-th/9406047]
    • (1996) J. Math. Phys. , vol.37 , pp. 374
    • Avramidi, I.G.1
  • 47
    • 2742614476 scopus 로고
    • Color decomposition of one loop amplitudes in gauge theories
    • Z. Bern and D.A. Kosower, 1991 Color decomposition of one loop amplitudes in gauge theories, Nucl. Phys. B 362 389
    • (1991) Nucl. Phys. , vol.362 , pp. 389
    • Bern, Z.1    Kosower, D.A.2
  • 48
    • 0011671639 scopus 로고
    • The Computation of loop amplitudes in gauge theories
    • Z. Bern and D.A. Kosower, 1992 The Computation of loop amplitudes in gauge theories, Nucl. Phys. B 379 451
    • (1992) Nucl. Phys. , vol.379 , pp. 451
    • Bern, Z.1    Kosower, D.A.2
  • 49
    • 0001567065 scopus 로고
    • Field theory without Feynman diagrams: One loop effective actions
    • M.J. Strassler, 1992 Field theory without Feynman diagrams: one loop effective actions, Nucl. Phys. B 385 145 [hep-ph/9205205]
    • (1992) Nucl. Phys. , vol.385 , pp. 145
    • Strassler, M.J.1
  • 50
    • 0000419528 scopus 로고
    • On the calculation of effective actions by string methods
    • M.G. Schmidt and C. Schubert, 1993 On the calculation of effective actions by string methods, Phys. Lett. B 318 438 [hep-th/9309055]
    • (1993) Phys. Lett. , vol.318 , pp. 438
    • Schmidt, M.G.1    Schubert, C.2
  • 51
    • 0002733657 scopus 로고    scopus 로고
    • Perturbative quantum field theory in the string-inspired formalism
    • C. Schubert, 2001 Perturbative quantum field theory in the string-inspired formalism, Phys. Rept. 355 73 [hep-th/0101036]
    • (2001) Phys. Rept. , vol.355 , pp. 73
    • Schubert, C.1
  • 53
    • 0037152321 scopus 로고    scopus 로고
    • Worldline formalism in a gravitational background
    • F. Bastianelli and A. Zirotti, 2002 Worldline formalism in a gravitational background, Nucl. Phys. B 642 372 [hep-th/0205182]
    • (2002) Nucl. Phys. , vol.642 , pp. 372
    • Bastianelli, F.1    Zirotti, A.2
  • 54
    • 17144466755 scopus 로고    scopus 로고
    • Dimensional regularization for SUSY σ-models and the worldline formalism
    • F. Bastianelli, O. Corradini and A. Zirotti, 2003 Dimensional regularization for SUSY σ-models and the worldline formalism, Phys. Rev. D 67 104009 [hep-th/0211134]
    • (2003) Phys. Rev. , vol.67 , pp. 104009
    • Bastianelli, F.1    Corradini, O.2    Zirotti, A.3
  • 55
    • 23144445662 scopus 로고    scopus 로고
    • BRST treatment of zero modes for the worldline formalism in curved space
    • F. Bastianelli, O. Corradini and A. Zirotti, 2004 BRST treatment of zero modes for the worldline formalism in curved space, J. High Energy Phys. JHEP01(2004)023 [hep-th/0312064]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.1 , pp. 023
    • Bastianelli, F.1    Corradini, O.2    Zirotti, A.3
  • 56
    • 19344373518 scopus 로고    scopus 로고
    • Worldline approach to vector and antisymmetric tensor fields
    • F. Bastianelli, P. Benincasa and S. Giombi, 2005 Worldline approach to vector and antisymmetric tensor fields, J. High Energy Phys. JHEP04(2005)010 [hep-th/0503155]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.4 , pp. 010
    • Bastianelli, F.1    Benincasa, P.2    Giombi, S.3
  • 57
    • 27544505996 scopus 로고    scopus 로고
    • Worldline approach to vector and antisymmetric tensor fields. II
    • F. Bastianelli, P. Benincasa and S. Giombi, 2005 Worldline approach to vector and antisymmetric tensor fields. II, J. High Energy Phys. JHEP10(2005)114 [hep-th/0510010]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.10 , pp. 114
    • Bastianelli, F.1    Benincasa, P.2    Giombi, S.3
  • 58
    • 27344456084 scopus 로고    scopus 로고
    • One loop photon graviton mixing in an electromagnetic field. i
    • F. Bastianelli and C. Schubert, 2005 One loop photon graviton mixing in an electromagnetic field. I, J. High Energy Phys. JHEP02(2005)069 [gr-qc/0412095]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.2 , pp. 069
    • Bastianelli, F.1    Schubert, C.2
  • 59
    • 36849044221 scopus 로고    scopus 로고
    • One loop photon-graviton mixing in an electromagnetic field: Part 2
    • F. Bastianelli, U. Nucamendi, C. Schubert and V.M. Villanueva, 2007 One loop photon-graviton mixing in an electromagnetic field: part 2, J. High Energy Phys. JHEP11(2007)099 [0710.5572]
    • (2007) J. High Energy Phys. , vol.2007 , Issue.11 , pp. 099
    • Bastianelli, F.1    Nucamendi, U.2    Schubert, C.3    Villanueva, V.M.4
  • 61
    • 0000151106 scopus 로고
    • The Higher derivative expansion of the effective action by the string inspired method. Part 1
    • D. Fliegner, M.G. Schmidt and C. Schubert, 1994 The Higher derivative expansion of the effective action by the string inspired method. Part 1, Z. Phys. C 64 111 [hep-ph/9401221]
    • (1994) Z. Phys. , vol.64 , pp. 111
    • Fliegner, D.1    Schmidt, M.G.2    Schubert, C.3
  • 62
    • 0002855499 scopus 로고    scopus 로고
    • The higher derivative expansion of the effective action by the string inspired method. II
    • D. Fliegner, P. Haberl, M.G. Schmidt and C. Schubert, 1998 The higher derivative expansion of the effective action by the string inspired method. II, Annals Phys. 264 51 [hep-th/9707189]
    • (1998) Annals Phys. , vol.264 , pp. 51
    • Fliegner, D.1    Haberl, P.2    Schmidt, M.G.3    Schubert, C.4
  • 63
    • 0001695722 scopus 로고    scopus 로고
    • Derivative expansion for the one-loop effective Lagrangian in QED
    • V.P. Gusynin and I.A. Shovkovy, 1996 Derivative expansion for the one-loop effective Lagrangian in QED, Can. J. Phys. 74 282 [hep-ph/9509383]
    • (1996) Can. J. Phys. , vol.74 , Issue.5-6 , pp. 282
    • Gusynin, V.P.1    Shovkovy, I.A.2
  • 64
    • 0033240060 scopus 로고    scopus 로고
    • Derivative expansion of the effective action for QED in 2+1 and 3+1 dimensions
    • V.P. Gusynin and I.A. Shovkovy, 1999 Derivative expansion of the effective action for QED in 2+1 and 3+1 dimensions, J. Math. Phys. 40 5406 [hep-th/9804143]
    • (1999) J. Math. Phys. , vol.40 , pp. 5406
    • Gusynin, V.P.1    Shovkovy, I.A.2
  • 65
    • 0347407740 scopus 로고    scopus 로고
    • Off-diagonal elements of the DeWitt expansion from the quantum mechanical path integral
    • F.A. Dilkes and D.G.C. McKeon, 1996 Off-diagonal elements of the DeWitt expansion from the quantum mechanical path integral, Phys. Rev. D 53 4388 [hep-th/9509005]
    • (1996) Phys. Rev. , vol.53 , pp. 4388
    • Dilkes, F.A.1    McKeon, D.G.C.2
  • 66
    • 0005899912 scopus 로고
    • The background field method and the ultraviolet structure of the supersymmetric nonlinear σ-model
    • L. lvarez-Gaumé, D.Z. Freedman and S. Mukhi, 1981 The background field method and the ultraviolet structure of the supersymmetric nonlinear σ-model, Ann. Phys. 134 85
    • (1981) Ann. Phys. , vol.134 , pp. 85
    • Lvarez-Gaumé, L.1    Freedman, D.Z.2    Mukhi, S.3
  • 67
    • 0000614834 scopus 로고
    • The path integral for a particle in curved spaces and Weyl anomalies
    • F. Bastianelli, 1992 The path integral for a particle in curved spaces and Weyl anomalies, Nucl. Phys. B 376 113 [hep-th/9112035]
    • (1992) Nucl. Phys. , vol.376 , pp. 113
    • Bastianelli, F.1
  • 68
    • 0002558034 scopus 로고
    • Trace anomalies from quantum mechanics
    • F. Bastianelli and P. van Nieuwenhuizen, 1993 Trace anomalies from quantum mechanics, Nucl. Phys. B 389 53 [hep-th/9208059]
    • (1993) Nucl. Phys. , vol.389 , pp. 53
    • Bastianelli, F.1    Van Nieuwenhuizen, P.2
  • 69
  • 70
    • 0030597557 scopus 로고    scopus 로고
    • Loop calculations in quantum-mechanical non-linear σ-models with fermions and applications to anomalies
    • J. De Boer, B. Peeters, K. Skenderis and P. Van Nieuwenhuizen, 1996 Loop calculations in quantum-mechanical non-linear σ-models with fermions and applications to anomalies, Nucl. Phys. B 459 631 [hep-th/9509158]
    • (1996) Nucl. Phys. , vol.459 , pp. 631
    • De Boer, J.1    Peeters, B.2    Skenderis, K.3    Van Nieuwenhuizen, P.4
  • 71
    • 0007236644 scopus 로고    scopus 로고
    • Mode regularization, time slicing, Weyl ordering and phase space path integrals for quantum mechanical nonlinear σ-models
    • F. Bastianelli, K. Schalm and P. van Nieuwenhuizen, 1998 Mode regularization, time slicing, Weyl ordering and phase space path integrals for quantum mechanical nonlinear σ-models, Phys. Rev. D 58 044002 [hep-th/9801105]
    • (1998) Phys. Rev. , vol.58 , pp. 044002
    • Bastianelli, F.1    Schalm, K.2    Van Nieuwenhuizen, P.3
  • 72
    • 0000614852 scopus 로고    scopus 로고
    • Reparametrization invariance of path integrals
    • H. Kleinert and A. Chervyakov, 1999 Reparametrization invariance of path integrals, Phys. Lett. B 464 257 [hep-th/9906156]
    • (1999) Phys. Lett. , vol.464 , pp. 257
    • Kleinert, H.1    Chervyakov, A.2
  • 73
    • 0034726978 scopus 로고    scopus 로고
    • Dimensional regularization of the path integral in curved space on an infinite time interval
    • F. Bastianelli, O. Corradini and P. van Nieuwenhuizen, 2000 Dimensional regularization of the path integral in curved space on an infinite time interval, Phys. Lett. B 490 154 [hep-th/0007105]
    • (2000) Phys. Lett. , vol.490 , pp. 154
    • Bastianelli, F.1    Corradini, O.2    Van Nieuwenhuizen, P.3
  • 74
    • 0034706958 scopus 로고    scopus 로고
    • Dimensional regularization of nonlinear σ-models on a finite time interval
    • F. Bastianelli, O. Corradini and P. van Nieuwenhuizen, 2000 Dimensional regularization of nonlinear σ-models on a finite time interval, Phys. Lett. B 494 161 [hep-th/0008045]
    • (2000) Phys. Lett. , vol.494 , pp. 161
    • Bastianelli, F.1    Corradini, O.2    Van Nieuwenhuizen, P.3
  • 76
    • 0000080348 scopus 로고    scopus 로고
    • Trace anomalies and the string-inspired definition of quantum-mechanical path integrals in curved space
    • K. Schalm and P. van Nieuwenhuizen, 1999 Trace anomalies and the string-inspired definition of quantum-mechanical path integrals in curved space, Phys. Lett. B 446 247 [hep-th/9810115]
    • (1999) Phys. Lett. , vol.446 , pp. 247
    • Schalm, K.1    Van Nieuwenhuizen, P.2
  • 77
    • 58149300035 scopus 로고    scopus 로고
    • Mode Regularization for N=1,2 SUSY σ-model
    • R. Bonezzi and M. Falconi, 2008 Mode Regularization for N=1,2 SUSY σ-model, J. High Energy Phys. JHEP10(2008)019 [0807.2276]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.10 , pp. 019
    • Bonezzi, R.1    Falconi, M.2
  • 78
    • 0000696474 scopus 로고    scopus 로고
    • On the string-inspired approach to QED in external field
    • R. Shaisultanov, 1996 On the string-inspired approach to QED in external field, Phys. Lett. B 378 354 [hep-th/9512142]
    • (1996) Phys. Lett. , vol.378 , pp. 354
    • Shaisultanov, R.1
  • 79
    • 0000289296 scopus 로고    scopus 로고
    • Vacuum polarisation tensors in constant electromagnetic fields. i
    • C. Schubert, 2000 Vacuum polarisation tensors in constant electromagnetic fields. I, Nucl. Phys. B 585 407 [hep-ph/0001288]
    • (2000) Nucl. Phys. , vol.585 , pp. 407
    • Schubert, C.1
  • 80
    • 0000803842 scopus 로고    scopus 로고
    • Photon splitting in a strong magnetic field: Recalculation and comparison with previous calculations
    • S.L. Adler and C. Schubert, 1996 Photon splitting in a strong magnetic field: recalculation and comparison with previous calculations, Phys. Rev. Lett. 77 1695 [hep-th/9605035]
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1695
    • Adler, S.L.1    Schubert, C.2
  • 81
    • 0041020405 scopus 로고    scopus 로고
    • The effective two-loop Euler-Heisenberg action for scalar and spinor QED in a general constant background field
    • B. Körs and M.G. Schmidt, 1999 The effective two-loop Euler-Heisenberg action for scalar and spinor QED in a general constant background field, Eur. Phys. J. C 6 175 [hep-th/9803144]
    • (1999) Eur. Phys. J. , vol.6 , pp. 175
    • Körs, B.1    Schmidt, M.G.2
  • 82
    • 0033228984 scopus 로고    scopus 로고
    • World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory
    • H.-T. Sato and M.G. Schmidt, 1999 World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory, Nucl. Phys. B 560 551 [hep-th/9812229]
    • (1999) Nucl. Phys. , vol.560 , pp. 551
    • Sato, H.-T.1    Schmidt, M.G.2
  • 83
    • 0000724167 scopus 로고    scopus 로고
    • Two-loop Yang-Mills theory in the world-line formalism and an Euler-Heisenberg type action
    • H.-T. Sato, M.G. Schmidt and C. Zahlten, 2000 Two-loop Yang-Mills theory in the world-line formalism and an Euler-Heisenberg type action, Nucl. Phys. B 579 492 [hep-th/0003070]
    • (2000) Nucl. Phys. , vol.579 , pp. 492
    • Sato, H.-T.1    Schmidt, M.G.2    Zahlten, C.3
  • 87
    • 33747816863 scopus 로고    scopus 로고
    • Large-order perturbation theory and de Sitter /anti de Sitter effective actions
    • A.K. Das and G.V. Dunne, 2006 Large-order perturbation theory and de Sitter /anti de Sitter effective actions, Phys. Rev. D 74 044029 [hep-th/0607168]
    • (2006) Phys. Rev. , vol.74 , pp. 044029
    • Das, A.K.1    Dunne, G.V.2
  • 88
    • 58149293825 scopus 로고    scopus 로고
    • Worldgraph approach to Yang-Mills amplitudes from N=2 spinning particle
    • P. Dai, Y.-t. Huang and W. Siegel, 2008 Worldgraph approach to Yang-Mills amplitudes from N=2 spinning particle, J. High Energy Phys. JHEP10(2008)027 [0807.0391]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.10 , pp. 027
    • Dai, P.1    Huang, Y.-T.2    Siegel, W.3
  • 89
    • 0000852066 scopus 로고    scopus 로고
    • Multiloop calculations in the string inspired formalism: The Single spinor loop in QED
    • M.G. Schmidt and C. Schubert, 1996 Multiloop calculations in the string inspired formalism: the Single spinor loop in QED, Phys. Rev. D 53 2150 [hep-th/9410100]
    • (1996) Phys. Rev. , vol.53 , pp. 2150
    • Schmidt, M.G.1    Schubert, C.2
  • 90
    • 33846221997 scopus 로고    scopus 로고
    • Closed-form weak-field expansion of two-loop Euler- Heisenberg Lagrangians
    • G.V. Dunne, A. Huet, D. Rivera and C. Schubert, 2006 Closed-form weak-field expansion of two-loop Euler- Heisenberg Lagrangians, J. High Energy Phys. JHEP11(2006)013 [hep-th/0609065]
    • (2006) J. High Energy Phys. , vol.2006 , Issue.11 , pp. 013
    • Dunne, G.V.1    Huet, A.2    Rivera, D.3    Schubert, C.4


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