메뉴 건너뛰기




Volumn 66, Issue 8, 2002, Pages 850201-8502025

(Borel) convergence of the variationally improved mass expansion and the O(N) Gross-Neveu model mass gap

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ELEMENTARY PARTICLE; MASS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PHYSICS; QUANTUM MECHANICS;

EID: 17044450768     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.085020     Document Type: Article
Times cited : (22)

References (81)
  • 3
    • 0003599519 scopus 로고
    • edited by J.C. Le Guillou and J. Zinn-Justin, Current Physics-Sources and Comments (North-Holland, Amsterdam)
    • For a review on Borel summation method and many original references, see Large-Order Behavior of Perturbation Theory, edited by J.C. Le Guillou and J. Zinn-Justin, Current Physics-Sources and Comments (North-Holland, Amsterdam, 1990).
    • (1990) Large-Order Behavior of Perturbation Theory
  • 4
    • 0000423882 scopus 로고    scopus 로고
    • For a recent extensive review, see M. Beneke, Phys. Rep. 317, 1 (1999).
    • (1999) Phys. Rep. , vol.317 , pp. 1
    • Beneke, M.1
  • 7
    • 0034392877 scopus 로고    scopus 로고
    • and more references therin
    • For recent examples, see, e. g., U. Jentschura, E.J. Weniger, and G. Soff, J. Phys. G 26, 1545 (2000), and more references therin.
    • (2000) J. Phys. G , vol.26 , pp. 1545
    • Jentschura, U.1    Weniger, E.J.2    Soff, G.3
  • 8
    • 36749114106 scopus 로고
    • R. Seznec and J. Zinn-Justin, J. Math. Phys. 20, 1398 (1979); J.C. Le Guillou and J. Zinn-Justin, Ann. Phys. (N.Y.) 147, 57 (1983).
    • (1979) J. Math. Phys. , vol.20 , pp. 1398
    • Seznec, R.1    Zinn-Justin, J.2
  • 10
    • 0001880378 scopus 로고
    • 4 Theories (World Scientific, Singapore, 2001), Chap. 19 for a recent review.
    • (1976) Teor. Mat. Fiz. , vol.28 , pp. 92
    • Yukalov, V.1
  • 13
    • 0039434949 scopus 로고
    • 4 Theories (World Scientific, Singapore, 2001), Chap. 19 for a recent review.
    • (1981) J. Phys. A , vol.14 , pp. 1005
    • Killinbeck, J.1
  • 15
    • 0000108334 scopus 로고
    • 4 Theories (World Scientific, Singapore, 2001), Chap. 19 for a recent review.
    • (1987) Phys. Rev. D , vol.35 , pp. 1835
    • Okopinska, A.1
  • 19
    • 33846372784 scopus 로고
    • 4 Theories (World Scientific, Singapore, 2001), Chap. 19 for a recent review.
    • (1991) J. Math. Phys. , vol.32 , pp. 1235
    • Yukalov, V.1
  • 21
    • 0001142845 scopus 로고
    • 4 Theories (World Scientific, Singapore, 2001), Chap. 19 for a recent review.
    • (1992) Phys. Rev. D , vol.45 , pp. 1248
    • Bender, C.M.1
  • 23
    • 0001949532 scopus 로고
    • 4 Theories (World Scientific, Singapore, 2001), Chap. 19 for a recent review.
    • (1993) Z. Phys. C , vol.59 , pp. 67
    • Yamada, H.1
  • 24
    • 0038565878 scopus 로고
    • 4 Theories (World Scientific, Singapore, 2001), Chap. 19 for a recent review.
    • (1993) Z. Phys. C , vol.60 , pp. 677
    • Klimenko, K.G.1
  • 26
    • 0000486221 scopus 로고    scopus 로고
    • 4 Theories (World Scientific, Singapore, 2001), Chap. 19 for a recent review.
    • (1998) Phys. Rev. D , vol.57 , pp. 2264
    • Kleinert, H.1
  • 27
    • 0013162176 scopus 로고    scopus 로고
    • 4 Theories (World Scientific, Singapore, 2001), Chap. 19 for a recent review.
    • (1998) Phys. Lett. B , vol.434 , pp. 74
  • 29
    • 33750811194 scopus 로고
    • P.M. Stevenson, Phys. Rev. D 23, 2916 (1981); Nucl. Phys. B203, 472 (1982).
    • (1981) Phys. Rev. D , vol.23 , pp. 2916
    • Stevenson, P.M.1
  • 30
    • 33751327518 scopus 로고
    • P.M. Stevenson, Phys. Rev. D 23, 2916 (1981); Nucl. Phys. B203, 472 (1982).
    • (1982) Nucl. Phys. , vol.B203 , pp. 472
  • 32
    • 0000668882 scopus 로고    scopus 로고
    • R. Guida, K. Konishi, and H. Suzuki, Ann. Phys. (N.Y.) 241, 152 (1995); 249, 109 (1996).
    • (1996) Ann. Phys. (N.Y.) , vol.249 , pp. 109
  • 33
    • 0000933456 scopus 로고
    • A. Duncan and H.F. Jones, Phys. Rev. D 47, 2560 (1993); C.M. Bender, A. Duncan, and H.F. Jones, ibid. 49, 4219 (1994); B. Bellet, P. Garcia, and A. Neveu, Int. J. Mod. Phys. A 11, 5587 (1996); 11, 5607 (1996); C. Arvanitis, H.F. Jones, and C. Parker, Phys. Rev. D 52, 3704 (1995); H. Kleinert, Phys. Rev. Lett. 75, 2787 (1995); W. Janke and H. Kleinert, Phys. Lett. A 206, 283 (1995).
    • (1993) Phys. Rev. D , vol.47 , pp. 2560
    • Duncan, A.1    Jones, H.F.2
  • 34
    • 0001027393 scopus 로고
    • A. Duncan and H.F. Jones, Phys. Rev. D 47, 2560 (1993); C.M. Bender, A. Duncan, and H.F. Jones, ibid. 49, 4219 (1994); B. Bellet, P. Garcia, and A. Neveu, Int. J. Mod. Phys. A 11, 5587 (1996); 11, 5607 (1996); C. Arvanitis, H.F. Jones, and C. Parker, Phys. Rev. D 52, 3704 (1995); H. Kleinert, Phys. Rev. Lett. 75, 2787 (1995); W. Janke and H. Kleinert, Phys. Lett. A 206, 283 (1995).
    • (1994) Phys. Rev. D , vol.49 , pp. 4219
    • Bender, C.M.1    Duncan, A.2    Jones, H.F.3
  • 35
    • 0000794029 scopus 로고    scopus 로고
    • A. Duncan and H.F. Jones, Phys. Rev. D 47, 2560 (1993); C.M. Bender, A. Duncan, and H.F. Jones, ibid. 49, 4219 (1994); B. Bellet, P. Garcia, and A. Neveu, Int. J. Mod. Phys. A 11, 5587 (1996); 11, 5607 (1996); C. Arvanitis, H.F. Jones, and C. Parker, Phys. Rev. D 52, 3704 (1995); H. Kleinert, Phys. Rev. Lett. 75, 2787 (1995); W. Janke and H. Kleinert, Phys. Lett. A 206, 283 (1995).
    • (1996) Int. J. Mod. Phys. A , vol.11 , pp. 5587
    • Bellet, B.1    Garcia, P.2    Neveu, A.3
  • 36
    • 0347959285 scopus 로고    scopus 로고
    • A. Duncan and H.F. Jones, Phys. Rev. D 47, 2560 (1993); C.M. Bender, A. Duncan, and H.F. Jones, ibid. 49, 4219 (1994); B. Bellet, P. Garcia, and A. Neveu, Int. J. Mod. Phys. A 11, 5587 (1996); 11, 5607 (1996); C. Arvanitis, H.F. Jones, and C. Parker, Phys. Rev. D 52, 3704 (1995); H. Kleinert, Phys. Rev. Lett. 75, 2787 (1995); W. Janke and H. Kleinert, Phys. Lett. A 206, 283 (1995).
    • (1996) Int. J. Mod. Phys. A , vol.11 , pp. 5607
  • 37
    • 0001610453 scopus 로고
    • A. Duncan and H.F. Jones, Phys. Rev. D 47, 2560 (1993); C.M. Bender, A. Duncan, and H.F. Jones, ibid. 49, 4219 (1994); B. Bellet, P. Garcia, and A. Neveu, Int. J. Mod. Phys. A 11, 5587 (1996); 11, 5607 (1996); C. Arvanitis, H.F. Jones, and C. Parker, Phys. Rev. D 52, 3704 (1995); H. Kleinert, Phys. Rev. Lett. 75, 2787 (1995); W. Janke and H. Kleinert, Phys. Lett. A 206, 283 (1995).
    • (1995) Phys. Rev. D , vol.52 , pp. 3704
    • Arvanitis, C.1    Jones, H.F.2    Parker, C.3
  • 38
    • 4243476018 scopus 로고
    • A. Duncan and H.F. Jones, Phys. Rev. D 47, 2560 (1993); C.M. Bender, A. Duncan, and H.F. Jones, ibid. 49, 4219 (1994); B. Bellet, P. Garcia, and A. Neveu, Int. J. Mod. Phys. A 11, 5587 (1996); 11, 5607 (1996); C. Arvanitis, H.F. Jones, and C. Parker, Phys. Rev. D 52, 3704 (1995); H. Kleinert, Phys. Rev. Lett. 75, 2787 (1995); W. Janke and H. Kleinert, Phys. Lett. A 206, 283 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 2787
    • Kleinert, H.1
  • 39
    • 0001063394 scopus 로고
    • A. Duncan and H.F. Jones, Phys. Rev. D 47, 2560 (1993); C.M. Bender, A. Duncan, and H.F. Jones, ibid. 49, 4219 (1994); B. Bellet, P. Garcia, and A. Neveu, Int. J. Mod. Phys. A 11, 5587 (1996); 11, 5607 (1996); C. Arvanitis, H.F. Jones, and C. Parker, Phys. Rev. D 52, 3704 (1995); H. Kleinert, Phys. Rev. Lett. 75, 2787 (1995); W. Janke and H. Kleinert, Phys. Lett. A 206, 283 (1995).
    • (1995) Phys. Lett. A , vol.206 , pp. 283
    • Janke, W.1    Kleinert, H.2
  • 40
  • 41
    • 7044255672 scopus 로고
    • C.M. Bender and T.T. Wu, Phys. Rev. 184, 1231 (1969); Phys. Rev. D 7, 1620 (1973).
    • (1973) Phys. Rev. D , vol.7 , pp. 1620
  • 47
    • 0003814526 scopus 로고
    • edited by A. Zichichi (Plenum, New York)
    • G. 't Hooft, in Erice 1977, edited by A. Zichichi (Plenum, New York, 1979), p. 943.
    • (1979) Erice 1977 , pp. 943
    • 'T Hooft, G.1
  • 52
    • 33646631712 scopus 로고
    • A.B. Zamolodchikov and A1.B. Zamolodchikov, Ann. Phys. (N.Y.) 120, 253 (1979); Nucl. Phys. B133, 525 (1978).
    • (1978) Nucl. Phys. B , vol.133 , pp. 525
  • 54
    • 0000630842 scopus 로고
    • P. Forgacs, F. Niedermayer, and P. Weisz, Nucl. Phys. B367, 123 (1991); B367, 157 (1991).
    • (1991) Nucl. Phys. , vol.B367 , pp. 157
  • 56
    • 85104159892 scopus 로고    scopus 로고
    • hep-ph/0010049 and references therein
    • XSB, see, e.g., A. Smilga, hep-ph/0010049 and references therein.
    • Smilga, A.1
  • 58
    • 0000813515 scopus 로고
    • J.A. Gracey, Nucl. Phys. B341, 403 (1990); B367, 657 (1991); C. Luperini and P. Rossi, Ann. Phys. (N.Y.) 212, 371 (1991).
    • (1990) Nucl. Phys. , vol.B341 , pp. 403
    • Gracey, J.A.1
  • 59
    • 0001281101 scopus 로고
    • J.A. Gracey, Nucl. Phys. B341, 403 (1990); B367, 657 (1991); C. Luperini and P. Rossi, Ann. Phys. (N.Y.) 212, 371 (1991).
    • (1991) Nucl. Phys. , vol.B367 , pp. 657
  • 60
    • 0001604407 scopus 로고
    • J.A. Gracey, Nucl. Phys. B341, 403 (1990); B367, 657 (1991); C. Luperini and P. Rossi, Ann. Phys. (N.Y.) 212, 371 (1991).
    • (1991) Ann. Phys. (N.Y.) , vol.212 , pp. 371
    • Luperini, C.1    Rossi, P.2
  • 61
    • 33744742228 scopus 로고
    • R. Tarrach, Nucl. Phys. B183, 384 (1981); A. Kronfeld, Phys. Rev. D 58, 051501 (1998).
    • (1981) Nucl. Phys. , vol.B183 , pp. 384
    • Tarrach, R.1
  • 62
    • 0542442721 scopus 로고    scopus 로고
    • R. Tarrach, Nucl. Phys. B183, 384 (1981); A. Kronfeld, Phys. Rev. D 58, 051501 (1998).
    • (1998) Phys. Rev. D , vol.58 , pp. 051501
    • Kronfeld, A.1
  • 66
    • 0000085704 scopus 로고
    • M. Beneke and V. Braun, Nucl. Phys. B426, 301 (1994); I. Bigi et al., Phys. Rev. D 50, 2234 (1994).
    • (1994) Nucl. Phys. , vol.B426 , pp. 301
    • Beneke, M.1    Braun, V.2
  • 67
    • 0000285082 scopus 로고
    • M. Beneke and V. Braun, Nucl. Phys. B426, 301 (1994); I. Bigi et al., Phys. Rev. D 50, 2234 (1994).
    • (1994) Phys. Rev. D , vol.50 , pp. 2234
    • Bigi, I.1
  • 68
    • 33646616843 scopus 로고    scopus 로고
    • J.-L. Kneur and D. Reynaud, hep-th/0111120
    • J.-L. Kneur and D. Reynaud, hep-th/0111120.
  • 69
    • 0000781145 scopus 로고
    • F. David, Nucl. Phys. B209, 433 (1982); B234, 237 (1984).
    • (1982) Nucl. Phys. , vol.B209 , pp. 433
    • David, F.1
  • 70
    • 25044477821 scopus 로고
    • F. David, Nucl. Phys. B209, 433 (1982); B234, 237 (1984).
    • (1984) Nucl. Phys. , vol.B234 , pp. 237
  • 72
    • 0000950617 scopus 로고
    • E. Brezin, J.-C. Le Guillou, and J. Zinn-Justin, Phys. Rev. D 15, 1544 (1977); 15, 1558 (1997); [see also for a review: J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford Science, New York, 1996)].
    • (1977) Phys. Rev. D , vol.15 , pp. 1544
    • Brezin, E.1    Le Guillou, J.-C.2    Zinn-Justin, J.3
  • 73
    • 33750252382 scopus 로고    scopus 로고
    • E. Brezin, J.-C. Le Guillou, and J. Zinn-Justin, Phys. Rev. D 15, 1544 (1977); 15, 1558 (1997); [see also for a review: J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford Science, New York, 1996)].
    • (1997) Phys. Rev. D , vol.15 , pp. 1558
  • 74
    • 33750252382 scopus 로고    scopus 로고
    • Oxford Science, New York
    • E. Brezin, J.-C. Le Guillou, and J. Zinn-Justin, Phys. Rev. D 15, 1544 (1977); 15, 1558 (1997); [see also for a review: J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford Science, New York, 1996)].
    • (1996) Quantum Field Theory and Critical Phenomena
    • Zinn-Justin, J.1
  • 75
    • 0001483777 scopus 로고
    • J.A. Gracey, Phys. Lett. B 297, 293 (1992); Int. J. Mod. Phys. A 9, 567 (1994); A.N. Vasilev and A.S. Stepanenko, Theor. Math. Phys. 97, 1349 (1993).
    • (1992) Phys. Lett. B , vol.297 , pp. 293
    • Gracey, J.A.1
  • 76
    • 0001483777 scopus 로고
    • J.A. Gracey, Phys. Lett. B 297, 293 (1992); Int. J. Mod. Phys. A 9, 567 (1994); A.N. Vasilev and A.S. Stepanenko, Theor. Math. Phys. 97, 1349 (1993).
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 567
  • 78
    • 33646613710 scopus 로고    scopus 로고
    • Ph.D. thesis dissertation, Univ. of Montpellier II
    • D. Reynaud, Ph.D. thesis dissertation, Univ. of Montpellier II, 2001.
    • (2001)
    • Reynaud, D.1
  • 79
    • 0003787842 scopus 로고
    • Cambridge University Press, Cambridge, England
    • J.C. Collins, Renormalization (Cambridge University Press, Cambridge, England, 1984).
    • (1984) Renormalization
    • Collins, J.C.1
  • 80
    • 33646618767 scopus 로고    scopus 로고
    • K. van Acoleyen and H. Verschelde, Phys. Rev. D 65, 025006 (2002); K. van Acoleyen, J.A. Gracey, and H. Verschelde, ibid. 66, 025002 (2002).
    • (2002) Phys. Rev. D , vol.65 , pp. 025006
    • Van Acoleyen, K.1    Verschelde, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.