SCOPUS 정보 검색 플랫폼

Journal of Knot Theory and its Ramifications

Volumn 6, Issue 4, 1997, Pages 479-581

Renormalization and knot theory

(1) Kreimer, Dirk a,b

a JOHANNES GUTENBERG UNIVERSITY (Germany)

b UNIVERSITY OF TASMANIA (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031521890 PISSN: 02182165 EISSN: None Source Type: Journal
DOI: 10.1142/S0218216597000315 Document Type: Article

Times cited : (33)

References (53)

1
- 0003889801
- Tomonaga Princeton Univ. Press and references there
- S. Schweber, QED and the men who made it: Dyson, Feynman, Schwinger, Tomonaga Princeton Univ. Press (1994), and references there.
- (1994) QED and the Men Who Made it: Dyson, Feynman, Schwinger
- Schweber, S.¹

2
- 33744651122
- G.'t Hooft, Nucl.Phys.B33 (1971) 173; Nucl.Phys.B35 (1971) 167.
- (1971) Nucl.Phys. , vol.B33 , pp. 173
- 'T Hooft, G.¹

3
- 0000043313
- G.'t Hooft, Nucl.Phys.B33 (1971) 173; Nucl.Phys.B35 (1971) 167.
- (1971) Nucl.Phys. , vol.B35 , pp. 167

4
- 0003917354
- ed. R. Balian, J. Zinn-Justin North-Holland
- B.W. Lee, in Methods in Field Theory, ed. R. Balian, J. Zinn-Justin (1976) North-Holland.
- (1976) Methods in Field Theory
- Lee, B.W.¹

5
- 0000563622
- F.J. Dyson, Phys.Rev.75 (1949) 486, 1736.
- (1949) Phys.Rev. , vol.75 , pp. 486
- Dyson, F.J.¹

6
- 36149024718
- A. Salam, Phys.Rev.82 (1951) 217, 84, 426.
- (1951) Phys.Rev. , vol.82 , pp. 217
- Salam, A.¹

7
- 36149007579
- S. Weinberg, Phys.Rev.118 (1960) 838.
- (1960) Phys.Rev. , vol.118 , pp. 838
- Weinberg, S.¹

8
- 0003432713
- Wiley
- N.N. Bogoliubov, D.V. Shirkov, Introduction to the theory of quantized fields, Wiley (1980).
- (1980) Introduction to the Theory of Quantized Fields
- Bogoliubov, N.N.¹ Shirkov, D.V.²

9
- 0001447372
- W. Zimmermann, Comm.Math.Phys.15 (1969) 208.
- (1969) Comm.Math.Phys. , vol.15 , pp. 208
- Zimmermann, W.¹

10
- 0642316430
- Univ. of Tasmania preprint UTAS-PHYS-94-25 This preprint contains most of the material of sections 3,4,6,7 here. Following a suggestion of Lou Kauffman, we added section 2. Section 5 is new. Section 8 reviews recent results and contains a few new results as well
- D. Kreimer, Renormalization and Knot Theory, Univ. of Tasmania preprint UTAS-PHYS-94-25 (1994). This preprint contains most of the material of sections 3,4,6,7 here. Following a suggestion of Lou Kauffman, we added section 2. Section 5 is new. Section 8 reviews recent results and contains a few new results as well.
- (1994) Renormalization and Knot Theory
- Kreimer, D.¹

11
- 0642316433
- Oxford UP
- M. Kaku, QFT, Oxford UP 1993.
- (1993) QFT
- Kaku, M.¹

12
- 0003787842
- Cambridge UP
- J. Collins, Renormalization, Cambridge UP 1984.
- (1984) Renormalization
- Collins, J.¹

13
- 0004192246
- Freeman
- C.C. Adams, The Knot Book, Freeman (1994). D. Rolfsen, Knots and Links, Publish or Perish (1976). L.H. Kauffman, Knots and Physics, World Scientific (1991).
- (1994) The Knot Book
- Adams, C.C.¹

14
- 0003740339
- Publish or Perish
- C.C. Adams, The Knot Book, Freeman (1994). D. Rolfsen, Knots and Links, Publish or Perish (1976). L.H. Kauffman, Knots and Physics, World Scientific (1991).
- (1976) Knots and Links
- Rolfsen, D.¹

15
- 0003462032
- World Scientific
- C.C. Adams, The Knot Book, Freeman (1994). D. Rolfsen, Knots and Links, Publish or Perish (1976). L.H. Kauffman, Knots and Physics, World Scientific (1991).
- (1991) Knots and Physics
- Kauffman, L.H.¹

16
- 85033127247
- D. Kremier, Phys.Lett.B354 (1995) 117.
- (1995) Phys.Lett. , vol.B354 , pp. 117
- Kremier, D.¹

17
- 0001914116
- D.J. Broadhurst, D. Kreimer, Int.J.Mod.Phys.C6 (1995) 519.
- (1995) Int.J.Mod.Phys. , vol.C6 , pp. 519
- Broadhurst, D.J.¹ Kreimer, D.²

18
- 0001529964
- D.J. Broadhurst, R. Delbourgo, D. Kreimer, Phys.Lett.B366 (1996) 421.
- (1996) Phys.Lett. , vol.B366 , pp. 421
- Broadhurst, D.J.¹ Delbourgo, R.² Kreimer, D.³

19
- 85033130511
- Beyond the triangle and uniqueness relations: Non-zeta terms at large N from positive knots
- to appear OUT-4102-46, MZ-TH/95-28 (hep-th/9607174)
- 3, hep-th/9612013.
- Z.Phys.C
- Broadhurst, D.J.¹ Gracey, J.² Kreimer, D.³

20
- 85033157848
- hep-th/9612013
- 3, hep-th/9612013.
- 3
- Broadhurst, D.J.¹ Kotikov, A.V.²

21
- 0346823750
- On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory
- to appear OUT-4102-62 (hep-th/9604128)
- D.J. Broadhurst, On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory, to appear in J.Math.Phys., OUT-4102-62 (hep-th/9604128).
- J.Math.Phys.
- Broadhurst, D.J.¹

22
- 85033138752
- On Knots in subdivergent Diagrams
- subm. to MZ-TH/96-31 (hep-th/9610128)
- D. Kreimer, On Knots in subdivergent Diagrams, subm. to Nucl.Phys.B, MZ-TH/96-31 (hep-th/9610128).
- Nucl.Phys.B
- Kreimer, D.¹

23
- 0000729454
- H. Lehmann, K. Symanzik, W. Zimmermann, Nuovo Cim.1, (1955) 1425.
- (1955) Nuovo Cim. , vol.1 , pp. 1425
- Lehmann, H.¹ Symanzik, K.² Zimmermann, W.³

24
- 0003967625
- Springer
- R. Haag, Local Quantum Physics, Springer 1992.
- (1992) Local Quantum Physics
- Haag, R.¹

25
- 34250131051
- D.J. Broadhurst, Z.Phys.C32 (1986) 249; D.T. Barfoot, D.J. Broadhurst, Z.Phys.C41 (1988) 81.
- (1986) Z.Phys. , vol.C32 , pp. 249
- Broadhurst, D.J.¹

26
- 0002559543
- D.J. Broadhurst, Z.Phys.C32 (1986) 249; D.T. Barfoot, D.J. Broadhurst, Z.Phys.C41 (1988) 81.
- (1988) Z.Phys. , vol.C41 , pp. 81
- Barfoot, D.T.¹ Broadhurst, D.J.²

27
- 0000818162
- D. Kreimer, Mod.Phys.Lett.A9 (1994) 1105.
- (1994) Mod.Phys.Lett. , vol.A9 , pp. 1105
- Kreimer, D.¹

28
- 0003997457
- Birkhäuser
- V.A. Smirnov, Renormalization and Asymptotic Expansions, Birkhäuser (1991).
- (1991) Renormalization and Asymptotic Expansions
- Smirnov, V.A.¹

29
- 33750408079
- see also [23] and references there
- K.G. Chetyrkin, A.L. Kataev, F.V. Tkachov, Nucl.Phys.B174 (1980) 345, see also [23] and references there.
- (1980) Nucl.Phys. , vol.B174 , pp. 345
- Chetyrkin, K.G.¹ Kataev, A.L.² Tkachov, F.V.³

30
- 0003918534
- McGraw-Hill
- C. Itzykson, J.-B. Zuber, Quantum Field Theory, McGraw-Hill (1980).
- (1980) Quantum Field Theory
- Itzykson, C.¹ Zuber, J.-B.²

31
- 0000835719
- 3 theory: ladders to rainbows, hep-th/9611150.
- (1996) Phys.Rev.D , vol.54 , pp. 5373
- Delbourgo, R.¹ Kalloniatis, A.² Thompson, G.³

32
- 0000835719
- hep-th/9611150
- 3 theory: ladders to rainbows, hep-th/9611150.
- 3 Theory: Ladders to Rainbows
- Delbourgo, R.¹ Elliott, D.² McAnally, D.S.³

33
- 0040620175
- V.V. Belokurov, N.I. Ussyukrna, J.Phys.A16 (1983) 2811. A.I. Davydychev, N.I. Ussyukina, Phys.Lett.B298 (1993) 363; Phys.Lett.B305 (1993) 136. D.J. Broadhurst, Phys.Lett.B164 (1985) 356; Phys.Lett.B307 (1993) 132.
- (1983) J.Phys. , vol.A16 , pp. 2811
- Belokurov, V.V.¹ Ussyukrna, N.I.²

34
- 0642377784
- V.V. Belokurov, N.I. Ussyukrna, J.Phys.A16 (1983) 2811. A.I. Davydychev, N.I. Ussyukina, Phys.Lett.B298 (1993) 363; Phys.Lett.B305 (1993) 136. D.J. Broadhurst, Phys.Lett.B164 (1985) 356; Phys.Lett.B307 (1993) 132.
- (1993) Phys.Lett. , vol.B298 , pp. 363
- Davydychev, A.I.¹ Ussyukina, N.I.²

35
- 2842521325
- V.V. Belokurov, N.I. Ussyukrna, J.Phys.A16 (1983) 2811. A.I. Davydychev, N.I. Ussyukina, Phys.Lett.B298 (1993) 363; Phys.Lett.B305 (1993) 136. D.J. Broadhurst, Phys.Lett.B164 (1985) 356; Phys.Lett.B307 (1993) 132.
- (1993) Phys.Lett. , vol.B305 , pp. 136

36
- 0042054713
- V.V. Belokurov, N.I. Ussyukrna, J.Phys.A16 (1983) 2811. A.I. Davydychev, N.I. Ussyukina, Phys.Lett.B298 (1993) 363; Phys.Lett.B305 (1993) 136. D.J. Broadhurst, Phys.Lett.B164 (1985) 356; Phys.Lett.B307 (1993) 132.
- (1985) Phys.Lett. , vol.B164 , pp. 356
- Broadhurst, D.J.¹

37
- 0043056435
- V.V. Belokurov, N.I. Ussyukrna, J.Phys.A16 (1983) 2811. A.I. Davydychev, N.I. Ussyukina, Phys.Lett.B298 (1993) 363; Phys.Lett.B305 (1993) 136. D.J. Broadhurst, Phys.Lett.B164 (1985) 356; Phys.Lett.B307 (1993) 132.
- (1993) Phys.Lett. , vol.B307 , pp. 132

38
- 0040538456
- Open Univ. preprint OUT-4102-18
- D.J. Broadhurst, Massless Scalar Feynman Diagrams: Five Loops and Beyond, (1985) Open Univ. preprint OUT-4102-18.
- (1985) Massless Scalar Feynman Diagrams: Five Loops and Beyond
- Broadhurst, D.J.¹

39
- 0005102728
- Map Coloring, Polyhedra, and the Four-Color Problem
- D. Barnette, Map Coloring, Polyhedra, and the Four-Color Problem, The Dolcani Mathematical Expositions (1983).
- (1983) The Dolcani Mathematical Expositions
- Barnette, D.¹

40
- 0001665177
- V. Jones, Annals of Math.126 (1987) 335.
- (1987) Annals of Math. , vol.126 , pp. 335
- Jones, V.¹

41
- 0004291355
- Cambridge UP, in preparation
- D. Kreimer, Knots and Feynman diagrams, Cambridge UP, in preparation.
- Knots and Feynman Diagrams
- Kreimer, D.¹

42
- 0642285931
- J.L. Rosner, Phys.Rev.Lett.17, (1966) 1190; Ann.Phys.44 (1967) 11.
- (1966) Phys.Rev.Lett. , vol.17 , pp. 1190
- Rosner, J.L.¹

43
- 0642285931
- J.L. Rosner, Phys.Rev.Lett.17, (1966) 1190; Ann.Phys.44 (1967) 11.
- (1967) Ann.Phys. , vol.44 , pp. 11

44
- 0001968685
- S.G. Gorishny, A.L. Kataev, S.A. Larin, L.R. Surguladze, Phys.Lett.B256 (1991) 81.
- (1991) Phys.Lett. , vol.B256 , pp. 81
- Gorishny, S.G.¹ Kataev, A.L.² Larin, S.A.³ Surguladze, L.R.⁴

45
- 0000584527
- D. Borwein, J.M. Borwein, R. Girgensohn, Proc.Edin.Math.Soc.38 (1995) 273.
- (1995) Proc.Edin.Math.Soc. , vol.38 , pp. 273
- Borwein, D.¹ Borwein, J.M.² Girgensohn, R.³

46
- 13744262083
- CECM research report 95-053 (1995)
- with an appendix by D.J. Broadhurst
- J.M. Borwein, R. Girgensohn, CECM research report 95-053 (1995), Electronic J. Combinatorics 3 (1996) R23, with an appendix by D.J. Broadhurst.
- (1996) Electronic J. Combinatorics , vol.3
- Borwein, J.M.¹ Girgensohn, R.²

47
- 0003704279
- Springer
- C. Kassel, Quantum Groups, Springer 1995.
- (1995) Quantum Groups
- Kassel, C.¹

48
- 85033151051
- hep-th/9604191
- I. Tsohantjis, A.C. Kalloniatis, P.D. Jarvis, Chord diagrams and BPHZ subtractions UTAS-PHYS-96-03, (hep-th/9604191).
- Chord Diagrams and BPHZ Subtractions UTAS-PHYS-96-03
- Tsohantjis, I.¹ Kalloniatis, A.C.² Jarvis, P.D.³

49
- 0000970787
- Dror Bar-Natan, Topology 34,2 (1995) 423.
- (1995) Topology , vol.34 , Issue.2 , pp. 423
- Bar-Natan, D.¹

50
- 85033135459
- Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
- to appear UTAS-PHYS-96-44 (hep-th/9609128)
- D.J. Broadhurst, D. Kreimer, Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops, to appear in Phys.Lett.B, UTAS-PHYS-96-44 (hep-th/9609128); D.J. Broadhurst, Conjectured Enumeration of irreducible Multiple Zeta Values, from Knots and Feynman Diagrams, hep-th/9612012.
- Phys.Lett.B
- Broadhurst, D.J.¹ Kreimer, D.²

51
- 0040499795
- hep-th/9612012
- D.J. Broadhurst, D. Kreimer, Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops, to appear in Phys.Lett.B, UTAS-PHYS-96-44 (hep-th/9609128); D.J. Broadhurst, Conjectured Enumeration of irreducible Multiple Zeta Values, from Knots and Feynman Diagrams, hep-th/9612012.
- Conjectured Enumeration of Irreducible Multiple Zeta Values, from Knots and Feynman Diagrams
- Broadhurst, D.J.¹

52
- 85033133165
- MZ-TH/96-36, (hep-th/9612010)
- D. Kreimer, Weight Systems from Feynman Diagrams, MZ-TH/96-36, (hep-th/9612010); D.J. Broadhurst, D. Kreimer, Feynman Diagrams as a Weight System: Four-Loop Test of a Four-Term Relation, MZ-TH/9612011, (hep-th/9612011).
- Weight Systems from Feynman Diagrams
- Kreimer, D.¹

53
- 0542437030
- MZ-TH/9612011, (hep-th/9612011)
- D. Kreimer, Weight Systems from Feynman Diagrams, MZ-TH/96-36, (hep-th/9612010); D.J. Broadhurst, D. Kreimer, Feynman Diagrams as a Weight System: Four-Loop Test of a Four-Term Relation, MZ-TH/9612011, (hep-th/9612011).
- Feynman Diagrams as a Weight System: Four-Loop Test of a Four-Term Relation
- Broadhurst, D.J.¹ Kreimer, D.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.