The Jacobian Conjecture as a Problem of Perturbative Quantum Field Theory

被引：0
|
作者：
A. Abdesselam
机构：
[1] Département de Mathématiques,
[2] Université Paris XIII,undefined
[3] Villetaneuse,undefined
[4] Avenue J.B. Clément,undefined
[5] F-93430 Villetaneuse,undefined
[6] France,undefined
[7] e-mail: abdessel@math.univ-paris13.fr,undefined
来源：
Annales Henri Poincaré | 2003年 / 4卷
关键词：
Feynman Diagram; Inversion Formula; Cayley Tree; Pauli Exclusion Principle; Combinatorial Proof;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Jacobian conjecture is an old unsolved problem in mathematics, which has been unsuccessfully attacked from many different angles. We add here another point of view pertaining to the so-called formal inverse approach, that of perturbative quantum field theory.
引用
收藏
页码：199 / 215
页数：16
相关论文
共 50 条
  • [1] The Jacobian conjecture as a problem of perturbative quantum field theory
    Abdesselam, A
    [J]. ANNALES HENRI POINCARE, 2003, 4 (02): : 199 - 215
  • [2] Combinatorial Quantum Field Theory and the Jacobian Conjecture
    Tanasa, A.
    [J]. TRANSCENDENCE IN ALGEBRA, COMBINATORICS, GEOMETRY AND NUMBER THEORY, TRANS19, 2021, 373 : 249 - 259
  • [3] The Real Problem with Perturbative Quantum Field Theory
    Fraser, James D.
    [J]. BRITISH JOURNAL FOR THE PHILOSOPHY OF SCIENCE, 2020, 71 (02): : 391 - 413
  • [4] Infrared problem in perturbative quantum field theory
    Duch, Pawel
    [J]. REVIEWS IN MATHEMATICAL PHYSICS, 2021, 33 (10)
  • [5] Perturbative quantum field theory
    Sterman, G
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2001, 16 (18): : 3041 - 3065
  • [6] Perturbative quantum field theory
    Sterman, G
    [J]. CHALLENGES FOR THE 21ST CENTURY, 2000, : 479 - 508
  • [7] Combinatorics of (perturbative) quantum field theory
    Kreimer, D
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 363 (4-6): : 387 - 424
  • [8] On perturbative quantum field theory with boundary
    Bajnok, Z
    Böhm, G
    Takács, G
    [J]. NUCLEAR PHYSICS B, 2004, 682 (03) : 585 - 617
  • [9] Geometries in perturbative quantum field theory
    Schnetz, Oliver
    [J]. COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2021, 15 (04) : 743 - 791
  • [10] A counterexample to a conjecture related to the Jacobian problem
    DellAccio, F
    [J]. MATHEMATICAL NOTES, 1995, 58 (3-4) : 989 - 992
12345