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Volumn 6, Issue 6, 2002, Pages 991-1019

Two-loop self-dual Euler-Heisenberg lagrangians 2. Imaginary part and Borel analysis

Author keywords

Electromagnetic Processes and Properties; Nonperturbative Effects; Renormalization Regularization and Renormalons

Indexed keywords


EID: 23044471665     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (50)
  • 1
    • 34250928761 scopus 로고
    • Folgerungen aus der Diracschen Theorie des Positrons
    • W. Heisenberg and H. Euler, Folgerungen aus der Diracschen Theorie des Positrons, Z. Physik C 98 (1936) 714.
    • (1936) Z. Physik C , vol.98 , pp. 714
    • Heisenberg, W.1    Euler, H.2
  • 2
    • 0001942423 scopus 로고
    • Über die Elektrodynamik des Vakuums auf Grund der Quantentheorie des Elektrons
    • V. Weisskopf, Über die Elektrodynamik des Vakuums auf Grund der Quantentheorie des Elektrons, Kong. Dans. Vid. Selsk. Math-fys. Medd. XIV No. 6 (1936),
    • (1936) Kong. Dans. Vid. Selsk. Math-fys. Medd. XIV No. 6 , vol.6
    • Weisskopf, V.1
  • 3
    • 0004182243 scopus 로고
    • J. Schwinger ed., Dover, New York
    • reprinted in Quantum Electrodynamics, J. Schwinger ed., Dover, New York, 1958.
    • (1958) Quantum Electrodynamics
  • 4
    • 0347162275 scopus 로고
    • On gauge invariance and vacuum polarization
    • J. Schwinger, On gauge invariance and vacuum polarization, Phys. Rev. 82 (1951) 664.
    • (1951) Phys. Rev. , vol.82 , pp. 664
    • Schwinger, J.1
  • 5
    • 0001415918 scopus 로고
    • Pair production by a constant external field
    • A.I. Nikishov, Pair production by a constant external field, Zh. Eksp. Tear. Fiz. 57 (1969) 1210,
    • (1969) Zh. Eksp. Tear. Fiz. , vol.57 , pp. 1210
    • Nikishov, A.I.1
  • 6
    • 0000556196 scopus 로고
    • Sov. Phys. JETP 30 (1970) 660;
    • (1970) Sov. Phys. JETP , vol.30 , pp. 660
  • 7
    • 0000138708 scopus 로고
    • The simplist processes in the pair creating electric field
    • N.B. Narozhnyi and A.I. Nikishov, The simplist processes in the pair creating electric field, Yad. Fiz. 11 (1970) 1072
    • (1970) Yad. Fiz. , vol.11 , pp. 1072
    • Narozhnyi, N.B.1    Nikishov, A.I.2
  • 9
    • 0037053218 scopus 로고    scopus 로고
    • Schwinger pair production via instantons in a strong electric field
    • [hep-th/0005078]
    • S.P. Kim and D.N. Page, Schwinger pair production via instantons in a strong electric field, Phys. Rev. D 65 (2002) 105002 [hep-th/0005078].
    • (2002) Phys. Rev. D , vol.65 , pp. 105002
    • Kim, S.P.1    Page, D.N.2
  • 10
    • 0031235609 scopus 로고    scopus 로고
    • Positron production in multiphoton light-by-light scattering
    • D.L. Burke et al., Positron production in multiphoton light-by-light scattering, Phys. Rev. Lett. 79 (1997) 1626.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 1626
    • Burke, D.L.1
  • 12
    • 0035927458 scopus 로고    scopus 로고
    • Pair production from vacuum at the focus of an x-ray free electron laser
    • [hep-ph/0103185]
    • A. Ringwald, Pair production from vacuum at the focus of an x-ray free electron laser, Phys. Lett. B 510 (2001) 107 [hep-ph/0103185].
    • (2001) Phys. Lett. B , vol.510 , pp. 107
    • Ringwald, A.1
  • 20
    • 0001741393 scopus 로고
    • Lagrangian of an intense electromagnetic field and quantum electrodynamics at short distances
    • V.I. Ritus, Lagrangian of an intense electromagnetic field and quantum electrodynamics at short distances, Zh. Eksp. Tear. Fiz. 69 (1975) 1517,
    • (1975) Zh. Eksp. Tear. Fiz. , vol.69 , pp. 1517
    • Ritus, V.I.1
  • 21
    • 0000571168 scopus 로고
    • Sov. Phys. JETP 42 (1975) 774.
    • (1975) Sov. Phys. JETP , vol.42 , pp. 774
  • 22
    • 0000953530 scopus 로고
    • Connection between strong-field quantum electrodynamics with short-distance quantum electrodynamics
    • V.I. Ritus, Connection between strong-field quantum electrodynamics with short-distance quantum electrodynamics, Zh. Eksp. Tear. Fiz. 73 (1977) 807,
    • (1977) Zh. Eksp. Tear. Fiz. , vol.73 , pp. 807
    • Ritus, V.I.1
  • 23
    • 0002247630 scopus 로고
    • Sov. Phys. JETP 46 (1977) 423.
    • (1977) Sov. Phys. JETP , vol.46 , pp. 423
  • 24
    • 0007957844 scopus 로고
    • The lagrangian function of an intense electromagnetic field
    • Issues in intense-field quantum electrodynamics, V.I. Ginzburg, ed., Nova Science Pub., NY
    • V.I. Ritus, The lagrangian function of an intense electromagnetic field, in Proc. Lebedev Phys. Inst. vol. 168, Issues in intense-field quantum electrodynamics, V.I. Ginzburg, ed., Nova Science Pub., NY 1987
    • (1987) Proc. Lebedev Phys. Inst. , vol.168
    • Ritus, V.I.1
  • 25
    • 0000897078 scopus 로고
    • Die Eigenzeit in der klassischen und in der Quantenmechanik
    • V. Fock, Die Eigenzeit in der klassischen und in der Quantenmechanik, Phys. Z. Sowjet. 12 (1937) 404.
    • (1937) Phys. Z. Sowjet. , vol.12 , pp. 404
    • Fock, V.1
  • 26
    • 0000962550 scopus 로고
    • Virial representation of the imaginary part of the lagrangian function of an electromagnetic field
    • S.L. Lebedev and V.I. Ritus, Virial representation of the imaginary part of the lagrangian function of an electromagnetic field, Zh. Eksp. Tear. Fiz. 86 (1984) 408,
    • (1984) Zh. Eksp. Tear. Fiz. , vol.86 , pp. 408
    • Lebedev, S.L.1    Ritus, V.I.2
  • 27
    • 23044473083 scopus 로고
    • Sov. Phys. JETP 59 (1984) 237
    • (1984) Sov. Phys. JETP , vol.59 , pp. 237
  • 28
    • 0010110532 scopus 로고
    • Method of eigenfunctions and mass operator in quantum electrodynamics of a constant field
    • V.I. Ritus, Method of eigenfunctions and mass operator in quantum electrodynamics of a constant field, Zh. Eksp. Tear. Fiz. 75 (1978) 1560,
    • (1978) Zh. Eksp. Tear. Fiz. , vol.75 , pp. 1560
    • Ritus, V.I.1
  • 29
    • 28844471041 scopus 로고
    • Sov. Phys. JETP 48 (1978) 788.
    • (1978) Sov. Phys. JETP , vol.48 , pp. 788
  • 30
    • 0034627484 scopus 로고    scopus 로고
    • Two-loop Euler-Heisenberg QED pair-production rate
    • [hep-th/9907190]
    • G.V. Dunne and C. Schubert, Two-loop Euler-Heisenberg QED pair-production rate, Nucl. Phys. B 564 (2000) 591 [hep-th/9907190].
    • (2000) Nucl. Phys. B , vol.564 , pp. 591
    • Dunne, G.V.1    Schubert, C.2
  • 32
    • 0037203684 scopus 로고    scopus 로고
    • Closed-form two-loop Euler-Heisenberg lagrangian in a self-dual background
    • [hep-th/0111134]
    • G.V. Dunne and C. Schubert, Closed-form two-loop Euler-Heisenberg lagrangian in a self-dual background, Phys. Lett. B 526 (2002) 55 [hep-th/0111134].
    • (2002) Phys. Lett. B , vol.526 , pp. 55
    • Dunne, G.V.1    Schubert, C.2
  • 33
    • 0000424217 scopus 로고
    • Selfduality, helicity and supersymmetry: The scattering of light by light
    • M. J. Duff and C. J. Isham, Selfduality, helicity and supersymmetry: the scattering of light by light, Phys. Lett. B 86 (1979) 157;
    • (1979) Phys. Lett. B , vol.86 , pp. 157
    • Duff, M.J.1    Isham, C.J.2
  • 34
    • 33744546958 scopus 로고
    • Selfduality, helicity and coherent states in nonabelian gauge theories
    • M.J. Duff and C.J. Isham, Selfduality, helicity and coherent states in nonabelian gauge theories, Nucl. Phys. B 162 (1980) 271.
    • (1980) Nucl. Phys. B , vol.162 , pp. 271
    • Duff, M.J.1    Isham, C.J.2
  • 37
    • 0001869274 scopus 로고    scopus 로고
    • Chiral extrapolation: An analogy with effective field theory
    • [hep-th/0110155]
    • G.V. Dunne, A.W. Thomas and S.V. Wright, Chiral extrapolation: an analogy with effective field theory, Phys. Lett. B 531 (2002) 77 [hep-th/0110155].
    • (2002) Phys. Lett. B , vol.531 , pp. 77
    • Dunne, G.V.1    Thomas, A.W.2    Wright, S.V.3
  • 39
    • 0034413643 scopus 로고    scopus 로고
    • Asymptotic series and precocious scaling
    • [hep-ph/9911416]
    • G.B. West, Asymptotic series and precocious scaling, Found. Phys. 30 (2000) 695-704 [hep-ph/9911416].
    • (2000) Found. Phys. , vol.30 , pp. 695-704
    • West, G.B.1
  • 40
    • 36149016496 scopus 로고
    • Divergence of perturbation theory in quantum electrodyanmics
    • F.J. Dyson, Divergence of perturbation theory in quantum electrodyanmics, Phys. Rev. 85 (1952) 631.
    • (1952) Phys. Rev. , vol.85 , pp. 631
    • Dyson, F.J.1
  • 42
    • 0003073521 scopus 로고
    • Can we make sense out of 'quantum chromodynamics'?
    • A. Zichichi ed., Plenum, New York
    • G. 't Hooft, Can we make sense out of 'quantum chromodynamics'?, in The Whys of Subnuclear Physics, A. Zichichi ed., Plenum, New York, 1978.
    • (1978) The Whys of Subnuclear Physics
    • 'T Hooft, G.1
  • 44
    • 0000423882 scopus 로고    scopus 로고
    • Renormalons
    • [hep-ph/9807443]
    • M. Beneke, Renormalons, Phys. Rept. 317 (1999) 1 [hep-ph/9807443].
    • (1999) Phys. Rept. , vol.317 , pp. 1
    • Beneke, M.1
  • 45
    • 18044361931 scopus 로고    scopus 로고
    • Borel summation of the derivative expansion and effective actions
    • [hep-th/9902064]
    • G.V. Dunne and T.M. Hall, Borel summation of the derivative expansion and effective actions, Phys. Rev. D 60 (1999) 065002 [hep-th/9902064].
    • (1999) Phys. Rev. D , vol.60 , pp. 065002
    • Dunne, G.V.1    Hall, T.M.2
  • 46
    • 0001398449 scopus 로고
    • Pair production at strong coupling in weak external fields
    • I.K. Affleck, O. Alvarez and N.S. Manton, Pair production at strong coupling in weak external fields, Nucl. Phys. B 197 (1982) 509.
    • (1982) Nucl. Phys. B , vol.197 , pp. 509
    • Affleck, I.K.1    Alvarez, O.2    Manton, N.S.3
  • 48
    • 0001761435 scopus 로고    scopus 로고
    • Bernoulli numbers and polynomials via residues
    • I-C. Huang and S-Y. Huang, Bernoulli numbers and polynomials via residues, J. Number Theor. 76 (1999) 178.
    • (1999) J. Number Theor. , vol.76 , pp. 178
    • Huang, I.-C.1    Huang, S.-Y.2
  • 49
    • 12344271762 scopus 로고
    • A relation between Bernoulli numbers
    • H. Miki, A relation between Bernoulli numbers, J. Number Theor. 10 (1978) 297.
    • (1978) J. Number Theor. , vol.10 , pp. 297
    • Miki, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.