Gauge invariance of quantum electrodynamics in the causal approach to renormalization theory

Annalen der Physik (Leipzig)

Volumn 10, Issue 6-7, 2001, Pages 439-471

  Grigore, Dan R ^a  

^a HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

Author keywords

Causality; Gauge invariance; Renormalization

Indexed keywords

ELECTRODYNAMICS; EQUATIONS OF MOTION; LAGRANGE MULTIPLIERS; PERTURBATION TECHNIQUES; POLYNOMIALS; RECURSIVE FUNCTIONS; THEOREM PROVING;

GAUGE INVARIANCE; QUANTUM ELECTRODYNAMICS; RENORMALIZATION THEORY;

QUANTUM THEORY;

EID: 0034974421     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/1521-3889(200106)10:6/7<439::AID-ANDP439>3.0.CO;2-N     Document Type: Article

References (46)

1. A. Aste and G. Scharf, Non-Abelian Gauge Theories as a Consequence of Perturbative Quantum Gauge Invariance, hep-th/9803011, ZU-TH-6/98
2. A. Aste, G. Scharf, and M. Dütsch, Perturbative Gauge Invariance: the Electroweak Theory II, Ann. Phys. (Leipzig) 8 (1999) 389-404, hep-th/9702053
3. F. M. Boas, Gauge Theories in Local Causal Perturbation Theory, DESY-THESIS-1999-032, November 1999
4. G. Barnish, M. Henneaux, T. Hurth, and K. Skenderis, Cohomological Analysis of Gauged-Fixed Gauge Theories, preprint ESI 780 (1999), hep-th/9910201
5. M. Dütsch, On Gauge Invariance of Yang-Mills Theories with Matter Fields, Zürich-University-Preprint ZU-TH-10/95, Il Nuovo Cimento A 109 (1996) 1145-1186
6. M. Dütsch, Slavnov-Taylor Identities from the Causal Point of View, Zürich-University-Preprint ZU-TH-30/95, hep-th/9606105, Int. Journ. Mod. Phys. A. 12 (1997) 3205-3248
7. M. Dütsch, Non-Uniqueness of Quantized Yang-Mills Theories, Zürich-University-Preprint ZU-TH-9/96, hep-th/9606100, J. Phys. A 29 (1996) 7597-7617
8. M. Dütsch, Finite QED and Quantum Gauge Field Theory, Acta Phys. Polonica B 27 (1996) 2421-2440
9. M. Dütsch and K. Fredenhagen, A Local (Perturbative) Construction of Observables in Gauge Theories: the Example of QED, hep-th/9807078, Commun. Math. Phys. 203 (1999) 71-105
10. M. Dütsch, T. Hurth, F. Krahe, and G. Scharf, Causal Construction of Yang-Mills Theories. I, Il Nuovo Cimento A 106 (1993) 1029-1041
11. M. Dütsch, T. Hurth, F. Krahe, and G. Scharf, Causal Construction of Yang-Mills Theories. II, Il Nuovo Cimento A 107 (1994) 375-406
12. M. Dütsch, T. Hurth, and G. Scharf, Gauge Invariance of Massless QED Phys. Lett B 327 (1994) 166-170
13. M. Dütsch, T. Hurth, and G. Scharf, Causal Construction of Yang-Mills Theories. III, Il Nuovo Cimento A 108 (1995) 679-707
14. M. Dütsch, T. Hurth, and G. Scharf, Causal Construction of Yang-Mills Theories. IV. Unitarity, Il Nuovo Cimento A 108 (1995) 737-773
15. M. Dütsch, F. Krahe, and G. Scharf, Interacting Fields in Finite QED, Il Nuovo Cimento, A 103 (1990) 871-901
16. M. Dütsch, F. Krahe, and G. Scharf, Gauge Invariance in Finite QED, Il Nuovo Cimento, A 103 (1990) 903-925
17. M. Dütsch, F. Krahe, and G. Scharf, Axial Anomalies in Massless Finite QED, Il Nuovo Cimento, A 105 (1992) 399-422
18. M. Dütsch, F. Krahe, and G. Scharf, The Vertex Function and Adiabatic Limit in Finite QED, J. Phys. G 19 (1993) 485-502
19. M. Dütsch, F. Krahe, and G. Scharf, The Infrared Problem and Adiabatic Switching, J. Phys. G 19 (1993) 503-515
20. M. Dütsch, F. Krahe, and G. Scharf, "Scalar QED Revisited", Il Nuovo Cimento A 106 (1993) 277-307
21. M. Dütschand and G. Scharf, Perturbative Gauge Invariance: the Electroweak Theory, Ann. Phys. (Leipzig) 8 (1999) 359-387, hep-th/9612091
22. H. Epstein and V. Glaser, The Rôle of Locality in Perturbation Theory, Ann. Inst. H. Poincaré A 19 (1973) 211-295
23. V. Glaser, Electrodynamique Quantique, L'enseignement du 3e cycle de la physique en Suisse Romande (CICP), Semestre d'hiver 1972/73
24. N. Grillo, Some Aspects of Quantum Gravity in the Causal Approach, hep-th/9903011, the 4th workshop on Quantum Field Theory under the Influence of External Condition, Leipzig, Germany, Sept. 1998
25. N. Grillo, Causal Quantum Gravity, hep-th/9910060
26. D. R. Grigore, On the Uniqueness of the Non-Abelian Gauge Theories in the Epstein-Glaser Approach to Renormalization Theory, hep-th/9806244, Romanian Journ. Phys. 44 (1999) 853-913
27. D. R. Grigore, The Standard Model and its Generalizations in the Epstein-Glaser Approach to Renormalization Theory, hep-th/9810078, Journ. Phys. A 33 (2000) 8443-8476
28. D. R. Grigore The Standard Model and its Generalisations in Epstein-Glaser Approach to Renormalization Theory II: the Fermion Sector and the Axial Anomaly, hep-th/9903206
29. D. R. Grigore, On the Quantization of the Gravitational Field, hep-th/9905190, Class. Quant. Gravity 17 (2000) 319-344
30. T. Hurth, Nonabelian Gauge Theories. The Causal Approach, Zürich-University-Preprint ZU-TH-36/94, hep-th/9511080, Ann. of Phys. 244 (1995) 340-425
31. T. Hurth, Nonabelian Gauge Symmetry in the Causal Epstein-Glaser Approach, Zürich-University-Preprint ZU-TH-20/95, hep-th/9511139, Int. J. Mod. Phys. A 2 (1997) 4461-4476
32. T. Hurth, A Note on Slavnov-Taylor Identities in the Causal Epstein-Glaser Approach, Zürich-University-Preprint ZU-TH-21/95, hep-th/9511176
33. T. Hurth, Higgs-free Massive Nonabelian Gauge Theories, Zürich-University-Preprint ZU-TH-25/95, hep-th/9511176, Helv. Phys. Acta 70 (1997) 406-416
34. T. Hurth and K. Skenderis, Quantum Noether Method, hep-th/9803030, Nucl. Phys. 541 (1999) 566-614
35. D. Kastler, Electrodynamique Quantique, Dunod, 1972
36. F. Krahe, A Causal Approach to Massive Yang-Mills Theories, DIAS-STP-95-01
37. F. Krahe, On the Algebra of Ghost Fields, DIAS-STP-95-02
38. F. Krahe, Causal Perturbation Theory for Massive Vector Boson Theories, Acta Phys. Polonica B 27 (1996) 2453-2476
39. G. Scharf, Finite Quantum Electrodynamics: The Causal Approach, (second edition) Springer, 1995
40. B. Schroer, The Pivotal Role of Causality in Local Quantum Physics, in New Insights in Quantum Mechanics - Fundamentals, Experimental Results, Theoretical Directions, Goslar, September 1-3, hep-th/9809017
41. R. Stora, Lagrangian Field Theory, Summer school of Theoretical Physics about Particle Physics, Les Houches, 1971
42. F. Strocchi and A. S. Wightman, Proof of the Charge Superselection Rule in Local Relativistic Quantum Field Theory, J. Math. Phys. 15 (1974) 2198-2224; Erratum Ibid. 17 (1976) 1930-1931
43. G. Scharf and M. Wellmann, Quantum Gravity from Perturbative Gauge Invariance, hep-th/ 9903055
44. V. S. Varadarajan, Geometry of Quantum Theory, (second edition) Springer, 1985
45. S. Weinberg, The Quantum Theory of Fields, vol. 1 and 2, Cambridge Univ. Press, 1995
46. A. S. Wightman and L. Gårding, Fields as Operator-Valued Distributions in Relativistic Quantum Field Theory, Arkiv Fysik 28 (1965) 129-184