Conservation of the stress tensor in perturbative interacting quantum field theory in curved spacetimes

Reviews in Mathematical Physics

Volumn 17, Issue 3, 2005, Pages 227-311

  Hollands, Stefan ^a   Wald, Robert M ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

Perturbation theory; Quantum field theory on curved space; Renormalization theory; Stress tensor

Indexed keywords

EID: 21244456484     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X05002340     Document Type: Article

References (21)

1. L. Alvarez-Gaume and E. Witten, Gravitational anomalies, Nucl. Phys. B234 (1984) 269.
2. F. M. Boas, Gauge theories in local causal perturbation theory, DESY-THESIS 1999-032 (1999) [arXiv: hep-th/0001014].
3. L. Bonora, P. Pasti and M. Bergola, Weyl cocycles, Class. Quant. Grav. 3 (1986) 635-649.
4. R. Brunetti, K. Fredenhagen and M. Köhler, The microlocal spectrum condition and Wick polynomials on curved spacetimes, Commun. Math. Phys. 180 (1996) 633-652.
5. R. Brunetti and K. Fredenhagen, Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds, Commun. Math. Phys. 208 (2000) 623-661.
6. R. Brunetti, K. Fredenhagen and R. Verch, The generally covariant locality principle: A new paradigm for local quantum physics, Commun. Math. Phys. 237 (2003) 31, [math-ph/0112041]; see also K. Fredenhagen, Locally covariant quantum field theory, [arXiv:hep-th/0403007].
7. M. Dütsch and K. Fredenhagen, A local (perturbative) construction of observables in gauge theories; The example of QED, Commun. Math. Phys. 203 (1999) 71.
8. M. Dütsch and K. Fredenhagen, Algebraic quantum field theory, perturbation theory, and the loop expansion, Commun. Math. Phys. 219 (2002) 5, [arXiv: hep-th/0001129]; Perturbative algebraic field theory, and deformation quantization. [arXiv: hep-th/0101079].
9. M. Dütsch and K. Fredenhagen, The master Ward identity and generalized Schwinger-Dyson equation in classical field theory, Commun. Math. Phys. 243 (2003) 275, [hep-th/0211242].
10. M. Dütsch and K. Fredenhagen, Causal perturbation theory in terms of retarded products, and a proof of the action ward identity, [hep-th/0403213].
11. S. Hollands, PCT theorem for the operator product expansion in curved spacetime. Commun. Math. Phys. 244 (2004) 209- 244, [gr-qc/0212028].
12. S. Hollands and W. Ruan, The state space of perturbative quantum field theory in curved space-times, Annales Henri Poincare 3 (2002) 635, [arXiv:gr-qc/0108032].
13. S. Hollands and R. M. Wald, Local Wick polynomials and time ordered products of quantum fields in curved space, Commun. Math. Phys. 223 (2001) 289- 326. [gr-qc/0103074].
14. S. Hollands and R. M. Wald, Existence of local covariant time-ordered-products of quantum fields in curved spacetime, Commun. Math. Phys. 231 (2002) 309-345, [gr-qc/0111108].
15. S. Hollands and R. M. Wald, On the renormalization group in curved spacetime, Commun. Math. Phys. 237(2003) 123-160, [gr-qc/0209029].
16. L. Hörmander. The Analysis of Linear Partial Differential Operators I (Springer-Verlag, Berlin, 1983).
17. V. Moretti, Comments on the stress-energy tensor operator in curved spacetime, Commun. Math. Phys. 232 (2003) 189, [arXiv:gr-qc/01090].
18. R. Stora, Pedagogical experiments in renormalized perturbation theory, in Theory of Renormalization and Regularization, Hesselberg, Germany (2002), http://wwwthep.physik.uni-mainz.de/scheck/Hessbg02.html.
19. R. F. Streater and A. A. Wightman, PCT, Spin and Statistics and All That (Benjamin, New York, 1964).
20. R. M. Wald, Quantum Field Theory on Curved Spacetimes and Black Hole Thermodynamics (The University of Chicago Press, Chicago, 1990).
21. J. Wess and B. Zumino, Consequences of anomalous Ward identities, Phys. Lett. B37 (1971) 95.