Brunetti, Romeo; Dütsch, Michael; Fredenhagen, Klaus; Rejzner, Kasia The unitary master Ward identity: time slice axiom, Noether’s theorem and anomalies. (English) Zbl 1520.46037 Ann. Henri Poincaré 24, No. 2, 469-539 (2023). MSC: 46L60 81T05 81T15 PDFBibTeX XMLCite \textit{R. Brunetti} et al., Ann. Henri Poincaré 24, No. 2, 469--539 (2023; Zbl 1520.46037) Full Text: DOI arXiv
Brunetti, Romeo; Dütsch, Michael; Fredenhagen, Klaus; Rejzner, Kasia C*-algebraic approach to interacting quantum field theory: inclusion of Fermi fields. (English) Zbl 1513.81097 Lett. Math. Phys. 112, No. 5, Paper No. 101, 37 p. (2022). MSC: 81T05 15A75 81T75 PDFBibTeX XMLCite \textit{R. Brunetti} et al., Lett. Math. Phys. 112, No. 5, Paper No. 101, 37 p. (2022; Zbl 1513.81097) Full Text: DOI arXiv
Brunetti, Romeo; Fredenhagen, Klaus; Pinamonti, Nicola Algebraic approach to Bose-Einstein condensation in relativistic quantum field theory: spontaneous symmetry breaking and the Goldstone theorem. (English) Zbl 1461.81070 Ann. Henri Poincaré 22, No. 3, 951-1000 (2021). MSC: 81T10 81V73 82B26 81T15 82B30 81R40 46L60 46L10 PDFBibTeX XMLCite \textit{R. Brunetti} et al., Ann. Henri Poincaré 22, No. 3, 951--1000 (2021; Zbl 1461.81070) Full Text: DOI arXiv
Brunetti, Romeo (ed.); Dappiaggi, Claudio (ed.); Fredenhagen, Klaus (ed.); Yngvason, Jakob (ed.) Advances in algebraic quantum field theory. (English) Zbl 1329.81022 Mathematical Physics Studies. Cham: Springer (ISBN 978-3-319-21352-1/hbk; 978-3-319-21353-8/ebook). xii, 453 p. (2015). MSC: 81-06 81T05 81T08 81T10 81T40 00A79 00B15 PDFBibTeX XMLCite \textit{R. Brunetti} (ed.) et al., Advances in algebraic quantum field theory. Cham: Springer (2015; Zbl 1329.81022) Full Text: DOI Link Backlinks: MO MO
Brunetti, Romeo; Fredenhagen, Klaus; Imani, Paniz; Rejzner, Katarzyna The locality axiom in quantum field theory and tensor products of \(C^\ast\)-algebras. (English) Zbl 1308.46063 Rev. Math. Phys. 26, No. 6, Article ID 1450010, 10 p. (2014). MSC: 46L06 81T05 18D10 81T20 PDFBibTeX XMLCite \textit{R. Brunetti} et al., Rev. Math. Phys. 26, No. 6, Article ID 1450010, 10 p. (2014; Zbl 1308.46063) Full Text: DOI arXiv
Brunetti, Romeo (ed.); Bär, Christian (ed.); Dappiaggi, Claudio (ed.); Fredenhagen, Klaus (ed.) Mini-workshop: New crossroads between mathematics and field theory. Abstracts from the mini-workshop held July 21–27, 2013. (English) Zbl 1349.00086 Oberwolfach Rep. 10, No. 3, 2155-2177 (2013). MSC: 00B05 00B25 81-06 81T05 81T20 81T13 PDFBibTeX XMLCite \textit{R. Brunetti} (ed.) et al., Oberwolfach Rep. 10, No. 3, 2155--2177 (2013; Zbl 1349.00086) Full Text: DOI
Brunetti, Romeo; Moretti, Valter Modular dynamics in diamonds. arXiv:1009.4990 Preprint, arXiv:1009.4990 [math-ph] (2010). MSC: 81T05 81T10 81R15 BibTeX Cite \textit{R. Brunetti} and \textit{V. Moretti}, ``Modular dynamics in diamonds'', Preprint, arXiv:1009.4990 [math-ph] (2010) Full Text: arXiv OA License
Brunetti, R.; Dütsch, M.; Fredenhagen, K. Perturbative algebraic quantum field theory and the renormalization groups. (English) Zbl 1201.81090 Adv. Theor. Math. Phys. 13, No. 5, 1541-1599 (2009). Reviewer: Gert Roepstorff (Aachen) MSC: 81T17 81R15 81T15 81T05 81T10 PDFBibTeX XMLCite \textit{R. Brunetti} et al., Adv. Theor. Math. Phys. 13, No. 5, 1541--1599 (2009; Zbl 1201.81090) Full Text: DOI arXiv Euclid
Brunetti, Romeo; Ruzzi, Giuseppe Quantum charges and spacetime topology: the emergence of new superselection sectors. (English) Zbl 1180.81097 Commun. Math. Phys. 287, No. 2, 523-563 (2009). Reviewer: Gert Roepstorff (Aachen) MSC: 81T05 81R15 46L60 PDFBibTeX XMLCite \textit{R. Brunetti} and \textit{G. Ruzzi}, Commun. Math. Phys. 287, No. 2, 523--563 (2009; Zbl 1180.81097) Full Text: DOI arXiv
Brunetti, Romeo Locally covariant quantum field theories. (English) Zbl 1166.81352 Boutet de Monvel, Anne (ed.) et al., Rigorous quantum field theory. A Festschrift for Jacques Bros. Basel: Birkhäuser (ISBN 3-7643-7433-0/hbk). Progress in Mathematics 251, 39-47 (2007). MSC: 81T20 81-02 81T05 PDFBibTeX XMLCite \textit{R. Brunetti}, Prog. Math. 251, 39--47 (2007; Zbl 1166.81352)
Brunetti, Romeo; Fredenhagen, Klaus Towards a background independent formulation of perturbative quantum gravity. (English) Zbl 1120.83016 Fauser, Bertfried (ed.) et al., Quantum gravity. Mathematical models and experimental bounds. Papers based on the presentations at the workshop ‘Mathematical and physical aspects of quantum gravity’, Blaubeuren, Germany, July 28th – August 1st, 2005. Basel: Birkhäuser (ISBN 3-7643-7977-4/hbk). 151-159 (2007). MSC: 83C45 81T20 81T05 PDFBibTeX XMLCite \textit{R. Brunetti} and \textit{K. Fredenhagen}, in: Quantum gravity. Mathematical models and experimental bounds. Papers based on the presentations at the workshop `Mathematical and physical aspects of quantum gravity', Blaubeuren, Germany, July 28th -- August 1st, 2005. Basel: Birkhäuser. 151--159 (2007; Zbl 1120.83016) Full Text: arXiv
Brunetti, Romeo; Ruzzi, Giuseppe Superselection sectors and general covariance. I. (English) Zbl 1124.81030 Commun. Math. Phys. 270, No. 1, 69-108 (2007). Reviewer: Valter Moretti (Povo) MSC: 81T05 46L10 46L30 46L60 46M15 83C47 PDFBibTeX XMLCite \textit{R. Brunetti} and \textit{G. Ruzzi}, Commun. Math. Phys. 270, No. 1, 69--108 (2007; Zbl 1124.81030) Full Text: DOI arXiv
Brunetti, Romeo; Fredenhagen, Klaus Algebraic approach to Quantum Field Theory. arXiv:math-ph/0411072 Preprint, arXiv:math-ph/0411072 [math-ph] (2004). MSC: 81T05 81T20 BibTeX Cite \textit{R. Brunetti} and \textit{K. Fredenhagen}, ``Algebraic approach to Quantum Field Theory'', Preprint, arXiv:math-ph/0411072 [math-ph] (2004) Full Text: arXiv
Brunetti, Romeo; Fredenhagen, Klaus; Verch, Rainer The generally covariant locality principle – a new paradigm for local quantum field theory. (English) Zbl 1047.81052 Commun. Math. Phys. 237, No. 1-2, 31-68 (2003). Reviewer: Jan Hamhalter (Praha) MSC: 81T05 81T20 PDFBibTeX XMLCite \textit{R. Brunetti} et al., Commun. Math. Phys. 237, No. 1--2, 31--68 (2003; Zbl 1047.81052) Full Text: DOI arXiv
Brunetti, R.; Guido, D.; Longo, R. Modular localization and Wigner particles. (English) Zbl 1033.81063 Rev. Math. Phys. 14, No. 7-8, 759-785 (2002). MSC: 81T20 46L60 81T05 81R15 22D25 PDFBibTeX XMLCite \textit{R. Brunetti} et al., Rev. Math. Phys. 14, No. 7--8, 759--785 (2002; Zbl 1033.81063) Full Text: DOI arXiv
Brunetti, Romeo; Fredenhagen, Klaus Interacting quantum fields on a curved background. (English) Zbl 1253.81086 De Wit, David (ed.) et al., 12th international congress of mathematical physics (ICMP’97). Proceedings of the congress held in Brisbane, Australia, July 13–19, 1997. Cambridge, MA: International Press (ISBN 1-57146-055-1). 186-190 (1999). MSC: 81T05 81T20 PDFBibTeX XMLCite \textit{R. Brunetti} and \textit{K. Fredenhagen}, in: 12th international congress of mathematical physics (ICMP'97). Proceedings of the congress held in Brisbane, Australia, July 13--19, 1997. Cambridge, MA: International Press. 186--190 (1999; Zbl 1253.81086) Full Text: arXiv
Brunetti, R.; Fredenhagen, K. Interacting quantum fields in curved space: Renormalizability of \(\varphi^4\). (English) Zbl 0912.35137 Doplicher, S. (ed.) et al., Operator algebras and quantum field theory. Proceedings of the conference dedicated to Daniel Kastler in celebration of his 70th birthday, Accademia Nazionale dei Lincei, Roma, Italy, July 1–6, 1996. Cambridge, MA: International Press. 546-563 (1997). Reviewer: Vadim Komkov (Florida) MSC: 35Q40 81T20 81T17 83C47 PDFBibTeX XMLCite \textit{R. Brunetti} and \textit{K. Fredenhagen}, in: Operator algebras and quantum field theory. Proceedings of the conference dedicated to Daniel Kastler in celebration of his 70th birthday, Accademia Nazionale dei Lincei, Roma, Italy, July 1--6, 1996. Cambridge, MA: International Press. 546--563 (1997; Zbl 0912.35137) Full Text: arXiv
Brunetti, R.; Fredenhagen, K.; Köhler, M. The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes. (English) Zbl 0923.58052 Commun. Math. Phys. 180, No. 3, 633-652 (1996). Reviewer: M.Thompson (Porto Alegre) MSC: 58J47 81T20 81T05 83C47 35A27 PDFBibTeX XMLCite \textit{R. Brunetti} et al., Commun. Math. Phys. 180, No. 3, 633--652 (1996; Zbl 0923.58052) Full Text: DOI arXiv
Brunetti, R.; Guido, D.; Longo, R. Group cohomology, modular theory and space-time symmetries. (English) Zbl 0837.46058 Rev. Math. Phys. 7, No. 1, 57-71 (1995). MSC: 46N50 46L60 81T05 81T70 81Q60 PDFBibTeX XMLCite \textit{R. Brunetti} et al., Rev. Math. Phys. 7, No. 1, 57--71 (1995; Zbl 0837.46058) Full Text: DOI arXiv
Brunetti, R.; Guido, D.; Longo, R. Modular structure and duality in conformal quantum field theory. (English) Zbl 0809.46086 Commun. Math. Phys. 156, No. 1, 201-219 (1993). Reviewer: W.Slowikowski (Aarhus) MSC: 46N50 81T40 46L60 PDFBibTeX XMLCite \textit{R. Brunetti} et al., Commun. Math. Phys. 156, No. 1, 201--219 (1993; Zbl 0809.46086) Full Text: DOI arXiv