메뉴 건너뛰기




Volumn 272, Issue 3, 2007, Pages 811-835

Parametric representation of noncommutative field theory

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34248169262     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-007-0215-5     Document Type: Article
Times cited : (42)

References (21)
  • 1
    • 0035486599 scopus 로고    scopus 로고
    • Douglas, M., Nekrasov, N.: Noncommutative field theory. Rev. Mod. Phy. 73, 9771029 (2001)
    • Douglas, M., Nekrasov, N.: Noncommutative field theory. Rev. Mod. Phy. 73, 9771029 (2001)
  • 2
    • 0041524804 scopus 로고    scopus 로고
    • Noncommutative Geometry and Matrix Theory: Compactification on Tori
    • Connes, A., Douglas, M.R., Schwarz, A.: Noncommutative Geometry and Matrix Theory: Compactification on Tori. JHEP 9802, 003 (1998)
    • (1998) JHEP , vol.9802 , pp. 003
    • Connes, A.1    Douglas, M.R.2    Schwarz, A.3
  • 3
    • 0007084601 scopus 로고    scopus 로고
    • String theory and noncommutative geometry
    • Seiberg, N., Witten, E.: String theory and noncommutative geometry. JHEP 9909, 032 (1999)
    • (1999) JHEP , vol.9909 , pp. 032
    • Seiberg, N.1    Witten, E.2
  • 6
    • 12944274897 scopus 로고    scopus 로고
    • Power-counting theorem for non-local matrix models and renormalization
    • Grosse, H., Wulkenhaar, R.: Power-counting theorem for non-local matrix models and renormalization. Commun. Math. Phys. 254, 91-127 (2005)
    • (2005) Commun. Math. Phys , vol.254 , pp. 91-127
    • Grosse, H.1    Wulkenhaar, R.2
  • 8
    • 0037007565 scopus 로고    scopus 로고
    • Duality in scalar field theory on noncommutative phase spaces
    • Langmann, E., Szabo, R.J.: Duality in scalar field theory on noncommutative phase spaces. Phys. Lett. B 533, 168 (2002)
    • (2002) Phys. Lett. B , vol.533 , pp. 168
    • Langmann, E.1    Szabo, R.J.2
  • 9
    • 31744433769 scopus 로고    scopus 로고
    • Renormalization of noncommutative phi 4-theory by multi-scale analysis
    • Rivasseau, V., Vignes-Toumeret, F., Wulkenhaar, R.: Renormalization of noncommutative phi 4-theory by multi-scale analysis. Commun. Math. Phys. 262, 565 (2006)
    • (2006) Commun. Math. Phys , vol.262 , pp. 565
    • Rivasseau, V.1    Vignes-Toumeret, F.2    Wulkenhaar, R.3
  • 10
    • 4243473139 scopus 로고    scopus 로고
    • Divergencies in a field theory on quantum space
    • Filk, T.: Divergencies in a field theory on quantum space. Phys. Lett. B 376, 53-58 (1996)
    • (1996) Phys. Lett. B , vol.376 , pp. 53-58
    • Filk, T.1
  • 11
    • 7044239667 scopus 로고    scopus 로고
    • Minwalla, S., Van Raamsdonk, M., Seiberg, N.: Noncommutative perturbative dynamics. JHEP 02, 020 (2000)
    • Minwalla, S., Van Raamsdonk, M., Seiberg, N.: Noncommutative perturbative dynamics. JHEP 02, 020 (2000)
  • 12
    • 33744928437 scopus 로고    scopus 로고
    • Chepelev, I., Roiban, R.: Convergence theorem for non-commutative Feynman graphs and renormalization. JHEP 0103, 001 (2001)
    • Chepelev, I., Roiban, R.: Convergence theorem for non-commutative Feynman graphs and renormalization. JHEP 0103, 001 (2001)
  • 13
    • 7244248830 scopus 로고    scopus 로고
    • d, 1. Scalars. JHEP 0005, 037 (2000)
    • d, 1. Scalars. JHEP 0005, 037 (2000)
  • 14
    • 36749117362 scopus 로고
    • Bogoliubov-Parasiuk Theorem in the α Parametric Representation
    • Bergere, M., Lam, Y.: Bogoliubov-Parasiuk Theorem in the α Parametric Representation. J. Math. Phys. 17, 1546 (1976)
    • (1976) J. Math. Phys , vol.17 , pp. 1546
    • Bergere, M.1    Lam, Y.2
  • 15
    • 33646035766 scopus 로고    scopus 로고
    • On the Hopf algebra structure of perturbative quantum field theories
    • Kreimer, D.: On the Hopf algebra structure of perturbative quantum field theories. Adv. Theor. Math. Phys. 2, 303 (1998)
    • (1998) Adv. Theor. Math. Phys , vol.2 , pp. 303
    • Kreimer, D.1
  • 16
    • 34248185259 scopus 로고    scopus 로고
    • Connes, A., Kreimer, D.: Renormalization in quantum field theory and the Riemann Hilbert problem, I and II. Commun. Math. Phys. 210, 249 and 216-249 (2000)
    • Connes, A., Kreimer, D.: Renormalization in quantum field theory and the Riemann Hilbert problem, I and II. Commun. Math. Phys. 210, 249 and 216-249 (2000)
  • 17
    • 33846893752 scopus 로고    scopus 로고
    • From Physics to Number Theory via Non-Commutative Geometry Part II: Renormalization, the Riemann Hubert correspondence and motivic Galois theory
    • Berlin Heidelberg-New York: Springer-Verlag
    • Connes, A., Marcolli, M.: From Physics to Number Theory via Non-Commutative Geometry Part II: Renormalization, the Riemann Hubert correspondence and motivic Galois theory. In: Frontiers in Number Theory, Physics and Geometry. Berlin Heidelberg-New York: Springer-Verlag, 2006, pp. 269-350
    • (2006) Frontiers in Number Theory, Physics and Geometry , pp. 269-350
    • Connes, A.1    Marcolli, M.2
  • 18
    • 3142763797 scopus 로고    scopus 로고
    • Calculus and Theorems of the Matrix-Tree Type
    • Abdelmalek, A.: Calculus and Theorems of the Matrix-Tree Type. Adv. in Applied Math. 33, 51-70 (2004)
    • (2004) Adv. in Applied Math , vol.33 , pp. 51-70
    • Abdelmalek, A.1
  • 19
    • 23144462213 scopus 로고    scopus 로고
    • Langmann, E., Szabo, R.J., Zarembo, K.: Exact solution of quantum field theory on noncommutative phase spaces. JHEP 0401, 017 (2004)
    • Langmann, E., Szabo, R.J., Zarembo, K.: Exact solution of quantum field theory on noncommutative phase spaces. JHEP 0401, 017 (2004)
  • 20
    • 34248211952 scopus 로고    scopus 로고
    • Propagators for Noncommutative Field Theories, to appear in Ann. Henri Poincaré
    • arXiv:hep-th/0512071
    • Gurau, R., Rivasseau, V., Vignes-Tourneret, F.: Propagators for Noncommutative Field Theories, to appear in Ann. Henri Poincaré, [arXiv:hep-th/0512071].
    • Gurau, R.1    Rivasseau, V.2    Vignes-Tourneret, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.