메뉴 건너뛰기




Volumn 70, Issue 10, 2004, Pages

Renormalizing the Schwinger-Dyson equations in the auxiliary field formulation of λφ4 field theory

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY TRANSFER; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR PHYSICS; PARTICLE SIZE; QUANTUM THEORY; VACUUM;

EID: 42749101289     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.105008     Document Type: Article
Times cited : (43)

References (68)
  • 1
    • 33847686755 scopus 로고
    • J. M. Luttinger and J. C. Ward, Phys. Rev. 118, 1417 (1960); G. Baym, Phys. Rev. 127, 1391 (1962); H. D. Dahmen and G. Jona-Lasinio, Nuovo Cimento, 62, 889 (1969); J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D 10, 2428 (1974).
    • (1960) Phys. Rev. , vol.118 , pp. 1417
    • Luttinger, J.M.1    Ward, J.C.2
  • 2
    • 33748957360 scopus 로고
    • J. M. Luttinger and J. C. Ward, Phys. Rev. 118, 1417 (1960); G. Baym, Phys. Rev. 127, 1391 (1962); H. D. Dahmen and G. Jona-Lasinio, Nuovo Cimento, 62, 889 (1969); J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D 10, 2428 (1974).
    • (1962) Phys. Rev. , vol.127 , pp. 1391
    • Baym, G.1
  • 3
    • 51249188036 scopus 로고
    • J. M. Luttinger and J. C. Ward, Phys. Rev. 118, 1417 (1960); G. Baym, Phys. Rev. 127, 1391 (1962); H. D. Dahmen and G. Jona-Lasinio, Nuovo Cimento, 62, 889 (1969); J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D 10, 2428 (1974).
    • (1969) Nuovo Cimento , vol.62 , pp. 889
    • Dahmen, H.D.1    Jona-Lasinio, G.2
  • 4
    • 0001187536 scopus 로고
    • J. M. Luttinger and J. C. Ward, Phys. Rev. 118, 1417 (1960); G. Baym, Phys. Rev. 127, 1391 (1962); H. D. Dahmen and G. Jona-Lasinio, Nuovo Cimento, 62, 889 (1969); J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D 10, 2428 (1974).
    • (1974) Phys. Rev. D , vol.10 , pp. 2428
    • Cornwall, J.M.1    Jackiw, R.2    Tomboulis, E.3
  • 6
    • 2342597179 scopus 로고    scopus 로고
    • J. P. Blaizot, E. Iancu, and A. Rebhan, Phys. Rev. Lett. 83, 2906 (1999); U. Kraemmer and A. Rebhan, Rep. Prog. Phys. 67, 351 (2004).
    • (2004) Rep. Prog. Phys. , vol.67 , pp. 351
    • Kraemmer, U.1    Rebhan, A.2
  • 10
    • 0034906561 scopus 로고    scopus 로고
    • B. Mihaila, F. Cooper, and J. F. Dawson, Phys. Rev. D 63, 096003 (2001); K. Blagoev, F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 64, 125003 (2001); F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 67, 051901R (2003); F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 67, 056003 (2003); B. Mihaila, Phys. Rev. D 68, 36002 (2003).
    • (2001) Phys. Rev. D , vol.63 , pp. 096003
    • Mihaila, B.1    Cooper, F.2    Dawson, J.F.3
  • 11
    • 0035893854 scopus 로고    scopus 로고
    • B. Mihaila, F. Cooper, and J. F. Dawson, Phys. Rev. D 63, 096003 (2001); K. Blagoev, F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 64, 125003 (2001); F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 67, 051901R (2003); F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 67, 056003 (2003); B. Mihaila, Phys. Rev. D 68, 36002 (2003).
    • (2001) Phys. Rev. D , vol.64 , pp. 125003
    • Blagoev, K.1    Cooper, F.2    Dawson, J.F.3    Mihaila, B.4
  • 12
    • 0037366501 scopus 로고    scopus 로고
    • B. Mihaila, F. Cooper, and J. F. Dawson, Phys. Rev. D 63, 096003 (2001); K. Blagoev, F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 64, 125003 (2001); F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 67, 051901R (2003); F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 67, 056003 (2003); B. Mihaila, Phys. Rev. D 68, 36002 (2003).
    • (2003) Phys. Rev. D , vol.67
    • Cooper, F.1    Dawson, J.F.2    Mihaila, B.3
  • 13
    • 0037366470 scopus 로고    scopus 로고
    • B. Mihaila, F. Cooper, and J. F. Dawson, Phys. Rev. D 63, 096003 (2001); K. Blagoev, F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 64, 125003 (2001); F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 67, 051901R (2003); F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 67, 056003 (2003); B. Mihaila, Phys. Rev. D 68, 36002 (2003).
    • (2003) Phys. Rev. D , vol.67 , pp. 056003
    • Cooper, F.1    Dawson, J.F.2    Mihaila, B.3
  • 14
    • 0141676256 scopus 로고    scopus 로고
    • B. Mihaila, F. Cooper, and J. F. Dawson, Phys. Rev. D 63, 096003 (2001); K. Blagoev, F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 64, 125003 (2001); F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 67, 051901R (2003); F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D 67, 056003 (2003); B. Mihaila, Phys. Rev. D 68, 36002 (2003).
    • (2003) Phys. Rev. D , vol.68 , pp. 36002
    • Mihaila, B.1
  • 15
    • 0035807406 scopus 로고    scopus 로고
    • J. Berges and J. Cox, Phys. Lett. B 517, 369 (2001); G. Aarts and J. Berges, Phys. Rev. D, 64, 105010 (2001); J. Berges, Nucl. Phys. A699, 847 (2002); G. Aarts and J. Berges, Phys. Rev. Lett. 88, 041603 (2002); J. Berges and J. Serreau, hep-ph/0302210.
    • (2001) Phys. Lett. B , vol.517 , pp. 369
    • Berges, J.1    Cox, J.2
  • 16
    • 0035890803 scopus 로고    scopus 로고
    • J. Berges and J. Cox, Phys. Lett. B 517, 369 (2001); G. Aarts and J. Berges, Phys. Rev. D, 64, 105010 (2001); J. Berges, Nucl. Phys. A699, 847 (2002); G. Aarts and J. Berges, Phys. Rev. Lett. 88, 041603 (2002); J. Berges and J. Serreau, hep-ph/0302210.
    • (2001) Phys. Rev. D , vol.64 , pp. 105010
    • Aarts, G.1    Berges, J.2
  • 17
    • 0037060874 scopus 로고    scopus 로고
    • J. Berges and J. Cox, Phys. Lett. B 517, 369 (2001); G. Aarts and J. Berges, Phys. Rev. D, 64, 105010 (2001); J. Berges, Nucl. Phys. A699, 847 (2002); G. Aarts and J. Berges, Phys. Rev. Lett. 88, 041603 (2002); J. Berges and J. Serreau, hep-ph/0302210.
    • (2002) Nucl. Phys. , vol.A699 , pp. 847
    • Berges, J.1
  • 18
    • 0037185597 scopus 로고    scopus 로고
    • J. Berges and J. Serreau, hep-ph/0302210
    • J. Berges and J. Cox, Phys. Lett. B 517, 369 (2001); G. Aarts and J. Berges, Phys. Rev. D, 64, 105010 (2001); J. Berges, Nucl. Phys. A699, 847 (2002); G. Aarts and J. Berges, Phys. Rev. Lett. 88, 041603 (2002); J. Berges and J. Serreau, hep-ph/0302210.
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 041603
    • Aarts, G.1    Berges, J.2
  • 22
    • 11144296294 scopus 로고    scopus 로고
    • M. Alford, J. Berges, and J. M. Cheyne, hep-ph/0404059
    • M. Alford, J. Berges, and J. M. Cheyne, hep-ph/0404059.
  • 23
    • 0038310336 scopus 로고    scopus 로고
    • J. Baacke and A. Heinen, Phys. Rev. D 67, 105020 (2003); J. Baacke and A. Heinen, Phys. Rev. D 68, 127702 (2003); J. Baacke and A. Heinen, Phys. Rev. D 69, 083523 (2004).
    • (2003) Phys. Rev. D , vol.67 , pp. 105020
    • Baacke, J.1    Heinen, A.2
  • 24
    • 0842282730 scopus 로고    scopus 로고
    • J. Baacke and A. Heinen, Phys. Rev. D 67, 105020 (2003); J. Baacke and A. Heinen, Phys. Rev. D 68, 127702 (2003); J. Baacke and A. Heinen, Phys. Rev. D 69, 083523 (2004).
    • (2003) Phys. Rev. D , vol.68 , pp. 127702
    • Baacke, J.1    Heinen, A.2
  • 25
    • 2442705307 scopus 로고    scopus 로고
    • J. Baacke and A. Heinen, Phys. Rev. D 67, 105020 (2003); J. Baacke and A. Heinen, Phys. Rev. D 68, 127702 (2003); J. Baacke and A. Heinen, Phys. Rev. D 69, 083523 (2004).
    • (2004) Phys. Rev. D , vol.69 , pp. 083523
    • Baacke, J.1    Heinen, A.2
  • 27
    • 0344012094 scopus 로고    scopus 로고
    • G. Aarts and J. M. M. Resco, Phys. Rev. D 68, 085009 (2003); G. Aarts and J. M. M. Resco, J. High Energy Phys. 02 (2004)061.
    • (2003) Phys. Rev. D , vol.68 , pp. 085009
    • Aarts, G.1    Resco, J.M.M.2
  • 29
    • 0000606295 scopus 로고    scopus 로고
    • F. Cooper, B. Mihaila, and J. F. Dawson, Phys. Rev. D 56, 5400 (1997); L. M. Bettencourt and C. Wetterich, Phys. Lett. B 430, 140 (1998); B. Mihaila, T. Athan, F. Cooper, J. Dawson, and S. Habib, Phys. Rev. D 62, 125015 (2000).
    • (1997) Phys. Rev. D , vol.56 , pp. 5400
    • Cooper, F.1    Mihaila, B.2    Dawson, J.F.3
  • 30
    • 0345921718 scopus 로고    scopus 로고
    • F. Cooper, B. Mihaila, and J. F. Dawson, Phys. Rev. D 56, 5400 (1997); L. M. Bettencourt and C. Wetterich, Phys. Lett. B 430, 140 (1998); B. Mihaila, T. Athan, F. Cooper, J. Dawson, and S. Habib, Phys. Rev. D 62, 125015 (2000).
    • (1998) Phys. Lett. B , vol.430 , pp. 140
    • Bettencourt, L.M.1    Wetterich, C.2
  • 31
    • 18444363647 scopus 로고    scopus 로고
    • F. Cooper, B. Mihaila, and J. F. Dawson, Phys. Rev. D 56, 5400 (1997); L. M. Bettencourt and C. Wetterich, Phys. Lett. B 430, 140 (1998); B. Mihaila, T. Athan, F. Cooper, J. Dawson, and S. Habib, Phys. Rev. D 62, 125015 (2000).
    • (2000) Phys. Rev. D , vol.62 , pp. 125015
    • Mihaila, B.1    Athan, T.2    Cooper, F.3    Dawson, J.4    Habib, S.5
  • 34
    • 0141562414 scopus 로고
    • N. N. Bogoliubov and O. S. Parasiuk, Acta Math. 97, 227 (1957); K. Hepp, Commun. Math. Phys. 14, 67 (1969); W. Zimmermann, Commun. Math. Phys. 15, 208 (1969).
    • (1957) Acta Math. , vol.97 , pp. 227
    • Bogoliubov, N.N.1    Parasiuk, O.S.2
  • 35
    • 11144294185 scopus 로고
    • N. N. Bogoliubov and O. S. Parasiuk, Acta Math. 97, 227 (1957); K. Hepp, Commun. Math. Phys. 14, 67 (1969); W. Zimmermann, Commun. Math. Phys. 15, 208 (1969).
    • (1969) Commun. Math. Phys. , vol.14 , pp. 67
    • Hepp, K.1
  • 36
    • 0001447372 scopus 로고
    • N. N. Bogoliubov and O. S. Parasiuk, Acta Math. 97, 227 (1957); K. Hepp, Commun. Math. Phys. 14, 67 (1969); W. Zimmermann, Commun. Math. Phys. 15, 208 (1969).
    • (1969) Commun. Math. Phys. , vol.15 , pp. 208
    • Zimmermann, W.1
  • 40
    • 0039798515 scopus 로고
    • F. Cooper, G. Guralnik, R. Haymaker, and K. Tamvakis, Phys. Rev. D 20, 3336 (1979); R. Haymaker and F. Cooper, Phys. Rev. D 19, 562 (1979).
    • (1979) Phys. Rev. D , vol.19 , pp. 562
    • Haymaker, R.1    Cooper, F.2
  • 41
    • 33744518241 scopus 로고
    • N.Y.
    • J. Schwinger, J. Math. Phys. (N.Y.) 2, 407 (1961); L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1515 (1964); [Sov. Phys. JETP 20, 1018 (1965)]; G. Chou, Z. Su, B. Hao, and L. Yu, Phys. Rep. 118, 1 (1985).
    • (1961) J. Math. Phys. , vol.2 , pp. 407
    • Schwinger, J.1
  • 42
    • 33744518241 scopus 로고
    • J. Schwinger, J. Math. Phys. (N.Y.) 2, 407 (1961); L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1515 (1964); [Sov. Phys. JETP 20, 1018 (1965)]; G. Chou, Z. Su, B. Hao, and L. Yu, Phys. Rep. 118, 1 (1985).
    • (1964) Zh. Eksp. Teor. Fiz. , vol.47 , pp. 1515
    • Keldysh, L.V.1
  • 43
    • 33744518241 scopus 로고
    • J. Schwinger, J. Math. Phys. (N.Y.) 2, 407 (1961); L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1515 (1964); [Sov. Phys. JETP 20, 1018 (1965)]; G. Chou, Z. Su, B. Hao, and L. Yu, Phys. Rep. 118, 1 (1985).
    • (1965) Sov. Phys. JETP , vol.20 , pp. 1018
  • 44
    • 33646878355 scopus 로고
    • J. Schwinger, J. Math. Phys. (N.Y.) 2, 407 (1961); L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1515 (1964); [Sov. Phys. JETP 20, 1018 (1965)]; G. Chou, Z. Su, B. Hao, and L. Yu, Phys. Rep. 118, 1 (1985).
    • (1985) Phys. Rep. , vol.118 , pp. 1
    • Chou, G.1    Su, Z.2    Hao, B.3    Yu, L.4
  • 46
    • 0001463797 scopus 로고    scopus 로고
    • F. Cooper, Y. Kluger, E. Mottola, and J. P. Paz, Phys. Rev. D 51, 2377 (1995); M. A. Lampert, J. F. Dawson, and F. Cooper, Phys. Rev. D 54, 2213 (1996).
    • (1996) Phys. Rev. D , vol.54 , pp. 2213
    • Lampert, M.A.1    Dawson, J.F.2    Cooper, F.3
  • 49
    • 33750493372 scopus 로고
    • K. Wilson, Phys. Rev. D 7, 2911 (1973); J. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D 10, 2428 (1974); S. Coleman, R. Jackiw, and H. D. Politzer, Phys. Rev. D 10, 2491 (1974).
    • (1973) Phys. Rev. D , vol.7 , pp. 2911
    • Wilson, K.1
  • 50
    • 0001187536 scopus 로고
    • K. Wilson, Phys. Rev. D 7, 2911 (1973); J. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D 10, 2428 (1974); S. Coleman, R. Jackiw, and H. D. Politzer, Phys. Rev. D 10, 2491 (1974).
    • (1974) Phys. Rev. D , vol.10 , pp. 2428
    • Cornwall, J.1    Jackiw, R.2    Tomboulis, E.3
  • 51
    • 0000555264 scopus 로고
    • K. Wilson, Phys. Rev. D 7, 2911 (1973); J. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D 10, 2428 (1974); S. Coleman, R. Jackiw, and H. D. Politzer, Phys. Rev. D 10, 2491 (1974).
    • (1974) Phys. Rev. D , vol.10 , pp. 2491
    • Coleman, S.1    Jackiw, R.2    Politzer, H.D.3
  • 54
    • 0001898814 scopus 로고
    • K. Wilson and J. Kogut, Phys. Rep. 12C, 75 (1974); G. A. Baker and J. M. Kincaid, Phys. Rev. Lett. 42, 1431 (1979); C. M. Bender, F. Cooper, and G. S. Guralnik, Phys. Rev. Lett. 45, 501 (1980); G. A. Baker Jr., L. P. Benofy, F. Cooper, and D. Preston, Nucl. Phys. B210, 273 (1982); D. J. E. Callaway, Phys. Rep. 167, 241 (1988).
    • (1974) Phys. Rep. , vol.12 C , pp. 75
    • Wilson, K.1    Kogut, J.2
  • 55
    • 4243651586 scopus 로고
    • K. Wilson and J. Kogut, Phys. Rep. 12C, 75 (1974); G. A. Baker and J. M. Kincaid, Phys. Rev. Lett. 42, 1431 (1979); C. M. Bender, F. Cooper, and G. S. Guralnik, Phys. Rev. Lett. 45, 501 (1980); G. A. Baker Jr., L. P. Benofy, F. Cooper, and D. Preston, Nucl. Phys. B210, 273 (1982); D. J. E. Callaway, Phys. Rep. 167, 241 (1988).
    • (1979) Phys. Rev. Lett. , vol.42 , pp. 1431
    • Baker, G.A.1    Kincaid, J.M.2
  • 56
    • 4243465434 scopus 로고
    • K. Wilson and J. Kogut, Phys. Rep. 12C, 75 (1974); G. A. Baker and J. M. Kincaid, Phys. Rev. Lett. 42, 1431 (1979); C. M. Bender, F. Cooper, and G. S. Guralnik, Phys. Rev. Lett. 45, 501 (1980); G. A. Baker Jr., L. P. Benofy, F. Cooper, and D. Preston, Nucl. Phys. B210, 273 (1982); D. J. E. Callaway, Phys. Rep. 167, 241 (1988).
    • (1980) Phys. Rev. Lett. , vol.45 , pp. 501
    • Bender, C.M.1    Cooper, F.2    Guralnik, G.S.3
  • 57
    • 11144342236 scopus 로고
    • K. Wilson and J. Kogut, Phys. Rep. 12C, 75 (1974); G. A. Baker and J. M. Kincaid, Phys. Rev. Lett. 42, 1431 (1979); C. M. Bender, F. Cooper, and G. S. Guralnik, Phys. Rev. Lett. 45, 501 (1980); G. A. Baker Jr., L. P. Benofy, F. Cooper, and D. Preston, Nucl. Phys. B210, 273 (1982); D. J. E. Callaway, Phys. Rep. 167, 241 (1988).
    • (1982) Nucl. Phys. , vol.B210 , pp. 273
    • Baker Jr., G.A.1    Benofy, L.P.2    Cooper, F.3    Preston, D.4
  • 58
    • 0001186504 scopus 로고
    • K. Wilson and J. Kogut, Phys. Rep. 12C, 75 (1974); G. A. Baker and J. M. Kincaid, Phys. Rev. Lett. 42, 1431 (1979); C. M. Bender, F. Cooper, and G. S. Guralnik, Phys. Rev. Lett. 45, 501 (1980); G. A. Baker Jr., L. P. Benofy, F. Cooper, and D. Preston, Nucl. Phys. B210, 273 (1982); D. J. E. Callaway, Phys. Rep. 167, 241 (1988).
    • (1988) Phys. Rep. , vol.167 , pp. 241
    • Callaway, D.J.E.1
  • 59
    • 0000884158 scopus 로고
    • B. W. Lee, Nucl. Phys. B9, 649 (1969); J. L. Gervais and B. W. Lee, Nucl. Phys. B12, 627 (1969); S. Weinberg, Phys. Rev. D 8, 3497 (1973); G. 't Hooft, Nucl. Phys. B61, 455, (1973).
    • (1969) Nucl. Phys. , vol.B9 , pp. 649
    • Lee, B.W.1
  • 60
    • 12144271016 scopus 로고
    • B. W. Lee, Nucl. Phys. B9, 649 (1969); J. L. Gervais and B. W. Lee, Nucl. Phys. B12, 627 (1969); S. Weinberg, Phys. Rev. D 8, 3497 (1973); G. 't Hooft, Nucl. Phys. B61, 455, (1973).
    • (1969) Nucl. Phys. , vol.B12 , pp. 627
    • Gervais, J.L.1    Lee, B.W.2
  • 61
    • 0001532672 scopus 로고
    • B. W. Lee, Nucl. Phys. B9, 649 (1969); J. L. Gervais and B. W. Lee, Nucl. Phys. B12, 627 (1969); S. Weinberg, Phys. Rev. D 8, 3497 (1973); G. 't Hooft, Nucl. Phys. B61, 455, (1973).
    • (1973) Phys. Rev. D , vol.8 , pp. 3497
    • Weinberg, S.1
  • 62
    • 28844508625 scopus 로고
    • B. W. Lee, Nucl. Phys. B9, 649 (1969); J. L. Gervais and B. W. Lee, Nucl. Phys. B12, 627 (1969); S. Weinberg, Phys. Rev. D 8, 3497 (1973); G. 't Hooft, Nucl. Phys. B61, 455, (1973).
    • (1973) Nucl. Phys. , vol.B61 , pp. 455
    • 'T Hooft, G.1
  • 63
    • 0003917354 scopus 로고
    • edited by R. Balian and J. Zinn-Justin (Elsevier/North-Holland, New York)
    • D. J. Gross, in Methods in Field Theory, Les Houches, France, 1975, edited by R. Balian and J. Zinn-Justin (Elsevier/North-Holland, New York, 1977), p. 141.
    • (1977) Methods in Field Theory, Les Houches, France, 1975 , pp. 141
    • Gross, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.