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Volumn 5, Issue 3, 2001, Pages

Convergence theorem for non-commutative Feynman graphs and renormalization

Author keywords

Bosonic Strings; Quantum Groups

Indexed keywords


EID: 33744928437     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/03/001     Document Type: Article
Times cited : (78)

References (67)
  • 1
    • 33744762647 scopus 로고
    • Simplification of quenching procedure for large-N spin models
    • T. Eguchi and R. Nakayama, Simplification of quenching procedure for large-N spin models, Phys. Lett. B 122 (1983) 59;
    • (1983) Phys. Lett. , vol.122 B , pp. 59
    • Eguchi, T.1    Nakayama, R.2
  • 2
    • 4243656358 scopus 로고
    • The twisted Eguchi-Kawai model: A reduced model for large-N lattice gauge theory
    • A. Gonzalez-Arroyo and M. Okawa, The twisted Eguchi-Kawai model: a reduced model for large-N lattice gauge theory, Phys. Rev. D 27 (1983) 2397;
    • (1983) Phys. Rev. , vol.27 D , pp. 2397
    • Gonzalez-Arroyo, A.1    Okawa, M.2
  • 3
    • 4244172432 scopus 로고
    • Reduced model for large-N continuum field theories
    • A. Gonzalez-Arroyo and C.P. K. Altes, Reduced model for large-N continuum field theories, Phys. Lett. B 131 (1983) 396.
    • (1983) Phys. Lett. , vol.131 B , pp. 396
    • Gonzalez-Arroyo, A.1    Altes, C.P.K.2
  • 4
    • 4243473139 scopus 로고    scopus 로고
    • Divergencies in a field theory on quantum space
    • T. Filk, Divergencies in a field theory on quantum space, Phys. Lett. B 376 (1996) 53.
    • (1996) Phys. Lett. , vol.376 B , pp. 53
    • Filk, T.1
  • 5
    • 0000907877 scopus 로고    scopus 로고
    • On the ultraviolet behaviour of quantum fields over noncommutative manifolds
    • [hep-th/9804001]
    • J.C. Varilly and J.M. Gracia-Bondia, On the ultraviolet behaviour of quantum fields over noncommutative manifolds, Int. J. Mod. Phys. A 14 (1999) 1305 [hep-th/9804001];
    • (1999) Int. J. Mod. Phys. , vol.14 A , pp. 1305
    • Varilly, J.C.1    Gracia-Bondia, J.M.2
  • 6
    • 0034645836 scopus 로고    scopus 로고
    • Quantum field theory on noncommutative space-times and the persistence of ultraviolet divergences
    • [hep-th/9812180]
    • M. Chaichian, A. Demichev and P. Presnajder, Quantum field theory on noncommutative space-times and the persistence of ultraviolet divergences, Nucl. Phys. B 567 (2000) 360 [hep-th/9812180];
    • (2000) Nucl. Phys. , vol.567 B , pp. 360
    • Chaichian, M.1    Demichev, A.2    Presnajder, P.3
  • 9
    • 0007318007 scopus 로고    scopus 로고
    • Renormalizability of the super symmetric Yang-Mills theories on the noncommutative torus
    • [hep-th/9903107]
    • M.M. Sheikh-Jabbari, Renormalizability of the super symmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107];
    • (1999) J. High Energy Phys. , vol.6 , pp. 015
    • Sheikh-Jabbari, M.M.1
  • 10
    • 0034688975 scopus 로고    scopus 로고
    • Perturbative quantum gauge fields on the noncommutative torus
    • [hep-th/9903187]
    • T. Krajewski and R. Wulkenhaar, Perturbative quantum gauge fields on the noncommutative torus, Int. J. Mod. Phys. A 15 (2000) 1011 [hep-th/9903187];
    • (2000) Int. J. Mod. Phys. A , vol.15 , pp. 1011
    • Krajewski, T.1    Wulkenhaar, R.2
  • 11
    • 0040362505 scopus 로고    scopus 로고
    • Finite field theory on noncommutative geometries
    • [hep-th/9903239]
    • S. Cho, R. Hinterding, J. Madore and H. Steinacker, Finite field theory on noncommutative geometries, Int. J. Mod. Phys. D9 (2000) 161 [hep-th/9903239];
    • (2000) Int. J. Mod. Phys. , vol.D9 , pp. 161
    • Cho, S.1    Hinterding, R.2    Madore, J.3    Steinacker, H.4
  • 12
    • 33744530985 scopus 로고    scopus 로고
    • Magnetic fields, brunes and noncommutative geometry
    • [hep-th/9908056]
    • D. Bigatti and L. Susskind, Magnetic fields, brunes and noncommutative geometry, Phys. Rev. D 62 (2000) 066004 [hep-th/9908056];
    • (2000) Phys. Rev. , vol.62 D , pp. 066004
    • Bigatti, D.1    Susskind, L.2
  • 13
    • 0000383801 scopus 로고    scopus 로고
    • 4
    • [hep-th/9912036]
    • 4, Nucl. Phys. B 585 (2000) 554 [hep-th/9912036];
    • (2000) Nucl. Phys. , vol.585 B , pp. 554
    • Benaoum, H.B.1
  • 14
    • 7044247932 scopus 로고    scopus 로고
    • Manifest super-symmetry in non-commutative geometry
    • [hep-th/9912153]
    • C.-S. Chu and F. Zamora, Manifest super-symmetry in non-commutative geometry, J. High Energy Phys. 02 (2000) 022 [hep-th/9912153];
    • (2000) J. High Energy Phys. , vol.2 , pp. 022
    • Chu, C.-S.1    Zamora, F.2
  • 15
    • 0001723082 scopus 로고    scopus 로고
    • Bi-local fields in noncommutative field theory
    • [hep-th/0001027]
    • S. Iso, H. Kawai and Y. Kitazawa, Bi-local fields in noncommutative field theory, Nucl. Phys. B 576 (2000) 375 [hep-th/0001027];
    • (2000) Nucl. Phys. , vol.576 B , pp. 375
    • Iso, S.1    Kawai, H.2    Kitazawa, Y.3
  • 17
    • 7644219689 scopus 로고    scopus 로고
    • Evidence for winding states in noncommutative quantum field theory
    • [hep-th/0002067]
    • W. Fischler et al., Evidence for winding states in noncommutative quantum field theory, J. High Energy Phys. 05 (2000) 024 [hep-th/0002067];
    • (2000) J. High Energy Phys. , vol.5 , pp. 024
    • Fischler, W.1
  • 19
    • 6444233853 scopus 로고    scopus 로고
    • Comments on noncommutative perturbative dynamics
    • [hep-th/0002186]
    • M.V. Raamsdonk and N. Seiberg, Comments on noncommutative perturbative dynamics, J. High Energy Phys. 03 (2000) 035 [hep-th/0002186];
    • (2000) J. High Energy Phys. , vol.3 , pp. 035
    • Raamsdonk, M.V.1    Seiberg, N.2
  • 20
    • 0043208165 scopus 로고    scopus 로고
    • d and the equivalence of quantum field theories
    • [hep-th/0003018]
    • d and the equivalence of quantum field theories, Nucl. Phys. B 581 (2000) 559 [hep-th/0003018];
    • (2000) Nucl. Phys. , vol.581 B , pp. 559
    • Oeckl, R.1
  • 21
    • 0002412871 scopus 로고    scopus 로고
    • The interplay between 9 and T
    • [hep-th/0003216]
    • W. Fischler et al., The interplay between 9 and T, J. High Energy Phys. 06 (2000) 032 [hep-th/0003216];
    • (2000) J. High Energy Phys. , vol.6 , pp. 032
    • Fischler, W.1
  • 22
    • 0000816039 scopus 로고    scopus 로고
    • Noncommutative field theory and spontaneous symmetry breaking
    • [hep-th/0003137]
    • B.A. Campbell and K. Kaminsky, Noncommutative field theory and spontaneous symmetry breaking, Nucl. Phys. B 581 (2000) 240 [hep-th/0003137];
    • (2000) Nucl. Phys. , vol.581 B , pp. 240
    • Campbell, B.A.1    Kaminsky, K.2
  • 23
    • 0002549213 scopus 로고    scopus 로고
    • On the operator product expansion in noncommutative quantum field theory
    • [hep-th/0004085]
    • F. Zamora, On the operator product expansion in noncommutative quantum field theory, J. High Energy Phys. 05 (2000) 002 [hep-th/0004085];
    • (2000) J. High Energy Phys. , vol.5 , pp. 002
    • Zamora, F.1
  • 24
    • 17044387367 scopus 로고    scopus 로고
    • Non-relativistic non-commutative field theory and UV/IR mixing
    • [hep-th/0004115]
    • J. Gomis, K. Landsteiner and E. Lopez, Non-relativistic non-commutative field theory and UV/IR mixing, Phys. Rev. D 62 (2000) 105006 [hep-th/0004115];
    • (2000) Phys. Rev. , vol.62 D , pp. 105006
    • Gomis, J.1    Landsteiner, K.2    Lopez, E.3
  • 25
    • 0034699511 scopus 로고    scopus 로고
    • Low-energy limits on the antisymmetric tensor field background on the brane and on the non-commutative scale
    • [hep-ph/0005191]
    • I. Mocioiu, M. Pospelov and R. Roiban, Low-energy limits on the antisymmetric tensor field background on the brane and on the non-commutative scale, Phys. Lett. B 489 (2000) 390 [hep-ph/0005191];
    • (2000) Phys. Lett. , vol.489 B , pp. 390
    • Mocioiu, I.1    Pospelov, M.2    Roiban, R.3
  • 26
    • 0001094626 scopus 로고    scopus 로고
    • Comments on perturbative dynamics of non-commutative Yang- Mills theory
    • [hep-th/0005208]
    • A. Armoni, Comments on perturbative dynamics of non-commutative Yang- Mills theory, Nucl. Phys. B 593 (2001) 229 [hep-th/0005208];
    • (2001) Nucl. Phys. , vol.593 B , pp. 229
    • Armoni, A.1
  • 28
    • 0034686107 scopus 로고    scopus 로고
    • Non-commutativity, zero modes and D-brane geometry
    • [hep-th/9911251]
    • Non-commutativity, zero modes and D-brane geometry, Nucl. Phys. B 577 (2000) 171 [hep-th/9911251];
    • (2000) Nucl. Phys. , vol.577 B , pp. 171
  • 30
    • 0035848512 scopus 로고    scopus 로고
    • Paramagnetic dominance, the sign of the beta function and UV/IR mixing in non-commutative U(1)
    • [hep-th/0007131]
    • C.P. Martin and F.R. Ruiz, Paramagnetic dominance, the sign of the beta function and UV/IR mixing in non-commutative U(1), Nucl. Phys. B 597 (2001) 197 [hep-th/0007131].
    • (2001) Nucl. Phys. , vol.597 B , pp. 197
    • Martin, C.P.1    Ruiz, F.R.2
  • 35
    • 7044247932 scopus 로고    scopus 로고
    • Manifest super-symmetry in non-commutative geometry
    • [hep-th/9912153]
    • C.-S. Chu and F. Zamora, Manifest super-symmetry in non-commutative geometry, J. High Energy Phys. 02 (2000) 022 [hep-th/9912153];
    • (2000) J. High Energy Phys. , vol.2 , pp. 022
    • Chu, C.-S.1    Zamora, F.2
  • 36
    • 7644244456 scopus 로고    scopus 로고
    • Some aspects of deformations of super-symmetric field theories
    • [hep-th/0002084]
    • S. Ferrara and M.A. Lledo, Some aspects of deformations of super-symmetric field theories, J. High Energy Phys. 05 (2000) 008 [hep-th/0002084];
    • (2000) J. High Energy Phys. , vol.5 , pp. 008
    • Ferrara, S.1    Lledo, M.A.2
  • 37
    • 0034209378 scopus 로고    scopus 로고
    • A note on super-fields and noncommutative geometry
    • [hep-th/0002119]
    • S. Terashima, A note on super-fields and noncommutative geometry, Phys. Lett. B 482 (2000) 276 [hep-th/0002119];
    • (2000) Phys. Lett. , vol.482 B , pp. 276
    • Terashima, S.1
  • 38
    • 0002622748 scopus 로고    scopus 로고
    • The super-field formalism applied to the noncommutative WessZumino model
    • [hep-th/0007050]
    • A.A. Bichl et al., The super-field formalism applied to the noncommutative WessZumino model, J. High Energy Phys. 10 (2000) 046 [hep-th/0007050].
    • (2000) J. High Energy Phys. , vol.10 , pp. 046
    • Bichl, A.A.1
  • 39
    • 7544246718 scopus 로고    scopus 로고
    • The IR/UV connection in the noncommutative gauge theories
    • [hep-th/0002075]
    • A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, J. High Energy Phys. 12 (2000) 002 [hep-th/0002075].
    • (2000) J. High Energy Phys. , vol.12 , pp. 002
    • Matusis, A.1    Susskind, L.2    Toumbas, N.3
  • 41
    • 0001375928 scopus 로고    scopus 로고
    • 3 theory from string theory
    • [hep-th/0003113]
    • 3 theory from string theory, Nucl. Phys. B 583 (2000) 145 [hep-th/0003113];
    • (2000) Nucl. Phys. , vol.583 B , pp. 145
    • Andreev, O.1    Dorn, H.2
  • 42
    • 0000935054 scopus 로고    scopus 로고
    • UV/IR mixing in noncommutative field theory via open string loops
    • [hep-th/0003145]
    • Y. Kiem and S. Lee, UV/IR mixing in noncommutative field theory via open string loops, Nucl. Phys. B 586 (2000) 303 [hep-th/0003145];
    • (2000) Nucl. Phys. , vol.586 B , pp. 303
    • Kiem, Y.1    Lee, S.2
  • 43
    • 0034726243 scopus 로고    scopus 로고
    • String theory and noncommutative field theories at one loop
    • [hep-th/0003180]
    • A. Bilal, C.-S. Chu and R. Russo, String theory and noncommutative field theories at one loop, Nucl. Phys. B 582 (2000) 65 [hep-th/0003180];
    • (2000) Nucl. Phys. , vol.582 B , pp. 65
    • Bilal, A.1    Chu, C.-S.2    Russo, R.3
  • 45
    • 0001482532 scopus 로고    scopus 로고
    • Multiloop string amplitudes with b-field and noncommutative qft
    • [hep-th/0004183]
    • C.-S. Chu, R. Russo and S. Sciuto, Multiloop string amplitudes with b-field and noncommutative qft, Nucl. Phys. B 585 (2000) 193 [hep-th/0004183];
    • (2000) Nucl. Phys. , vol.585 B , pp. 193
    • Chu, C.-S.1    Russo, R.2    Sciuto, S.3
  • 46
    • 0000194688 scopus 로고    scopus 로고
    • Noncommutative field theory from string theory: Two-loop analysis
    • [hep-th/0008002]
    • Y. Kiem, S. Lee and J. Park, Noncommutative field theory from string theory: two-loop analysis, Nucl. Phys. B 594 (2001) 169 [hep-th/0008002];
    • (2001) Nucl. Phys. , vol.594 B , pp. 169
    • Kiem, Y.1    Lee, S.2    Park, J.3
  • 47
    • 0000195480 scopus 로고    scopus 로고
    • A consistent noncommutative field theory: The Wess-Zumino model
    • [hep-th/0005272]
    • H.O. Girotti, M. Gomes, V.O. Rivelles and A.J. da Silva, A consistent noncommutative field theory: the Wess-Zumino model, Nucl. Phys. B 587 (2000) 299 [hep-th/0005272].
    • (2000) Nucl. Phys. , vol.587 B , pp. 299
    • Girotti, H.O.1    Gomes, M.2    Rivelles, V.O.3    Da Silva, A.J.4
  • 48
    • 0041524804 scopus 로고    scopus 로고
    • Non-commutative geometry and matrix theory: Compactification on tori
    • [hep-th/9711162]
    • An (incomplete) list of references is: A. Connes, M.R. Douglas and A. Schwarz, Non-commutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162];
    • (1998) J. High Energy Phys. , vol.2 , pp. 003
    • Connes, A.1    Douglas, M.R.2    Schwarz, A.3
  • 49
    • 0001539532 scopus 로고    scopus 로고
    • 4 and (2, 0) superconformal six dimensional theory
    • [hep-th/9802068]
    • 4 and (2, 0) superconformal six dimensional theory, Comm. Math. Phys. 198 (1998) 689 [hep-th/9802068];
    • (1998) Comm. Math. Phys. , vol.198 , pp. 689
    • Nekrasov, N.1    Schwarz, A.2
  • 50
    • 0034676918 scopus 로고    scopus 로고
    • Noncommutative Yang-Mills in IIB matrix model
    • [hep-th/9908141]
    • H. Aoki et al., Noncommutative Yang-Mills in IIB matrix model, Nucl. Phys. B 565 (2000) 176 [hep-th/9908141];
    • (2000) Nucl. Phys. , vol.565 B , pp. 176
    • Aoki, H.1
  • 51
    • 0031577441 scopus 로고    scopus 로고
    • Strings from IIB matrices
    • [hep-th/9612222]
    • M. Li, Strings from IIB matrices, Nucl. Phys. B 499 (1997) 149 [hep-th/9612222];
    • (1997) Nucl. Phys. , vol.499 B , pp. 149
    • Li, M.1
  • 52
    • 0034178732 scopus 로고    scopus 로고
    • Wilson loops in noncommutative Yang-Mills
    • [hep-th/9910004]
    • N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, Nucl. Phys. B 573 (2000) 573 [hep-th/9910004];
    • (2000) Nucl. Phys. , vol.573 B , pp. 573
    • Ishibashi, N.1    Iso, S.2    Kawai, H.3    Kitazawa, Y.4
  • 53
    • 17044438686 scopus 로고    scopus 로고
    • Non-commutative geometry on a discrete periodic lattice and gauge theory
    • [hep-th/9910091]
    • I. Bars and D. Minic, Non-commutative geometry on a discrete periodic lattice and gauge theory, Phys. Rev. D 62 (2000) 105018 [hep-th/9910091];
    • (2000) Phys. Rev. , vol.62 D , pp. 105018
    • Bars, I.1    Minic, D.2
  • 54
  • 55
    • 0001723082 scopus 로고    scopus 로고
    • Bi-local fields in noncommutative field theory
    • [hep-th/0001027]
    • S. Iso, H. Kawai and Y. Kitazawa, Bi-local fields in noncommutative field theory, Nucl. Phys. B 576 (2000) 375 [hep-th/0001027];
    • (2000) Nucl. Phys. , vol.576 B , pp. 375
    • Iso, S.1    Kawai, H.2    Kitazawa, Y.3
  • 57
    • 0001548196 scopus 로고    scopus 로고
    • String scale in noncommutative Yang-Mills
    • [hep-th/0004038]
    • N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, String scale in noncommutative Yang-Mills, Nucl. Phys. B 583 (2000) 159 [hep-th/0004038];
    • (2000) Nucl. Phys. , vol.583 B , pp. 159
    • Ishibashi, N.1    Iso, S.2    Kawai, H.3    Kitazawa, Y.4
  • 58
    • 7644232480 scopus 로고    scopus 로고
    • Lattice gauge fields and discrete noncommutative Yang-Mills theory
    • [hep-th/0004147]
    • J. Ambjorn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Lattice gauge fields and discrete noncommutative Yang-Mills theory, J. High Energy Phys. 05 (2000) 023 [hep-th/0004147];
    • (2000) J. High Energy Phys. , vol.5 , pp. 023
    • Ambjorn, J.1    Makeenko, Y.M.2    Nishimura, J.3    Szabo, R.J.4
  • 60
    • 0034597810 scopus 로고    scopus 로고
    • On noncommutative vacua and noncommutative solitons
    • [hep-th/0007247]
    • A.S. Gorsky, Y.M. Makeenko and K.G. Selivanov, On noncommutative vacua and noncommutative solitons, Phys. Lett. B 492 (2000) 344 [hep-th/0007247];
    • (2000) Phys. Lett. , vol.492 B , pp. 344
    • Gorsky, A.S.1    Makeenko, Y.M.2    Selivanov, K.G.3
  • 65
    • 0002365759 scopus 로고
    • The power counting theorem for Feynman integrals with massless propagators
    • J.H. Lowenstein and W. Zimmermann, The power counting theorem for Feynman integrals with massless propagators, Comm. Math. Phys. 44 (1975) 73.
    • (1975) Comm. Math. Phys. , vol.44 , pp. 73
    • Lowenstein, J.H.1    Zimmermann, W.2
  • 66
    • 36149007579 scopus 로고
    • High-energy behavior in quantum field theory
    • S. Weinberg, High-energy behavior in quantum field theory, Phys. Rev. 118 (1960) 838.
    • (1960) Phys. Rev. , vol.118 , pp. 838
    • Weinberg, S.1


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