Klaus Fredenhagen

Klaus Fredenhagen (born 1 December 1947) is a German theoretical physicist who works on the mathematical foundations of quantum field theory.^[1]

Klaus Fredenhagen
Klaus Fredenhagen (middle) with Roberto Longo (left) and Karl-Henning Rehren (right), Oberwolfach 2002
Born	(1947-12-01)1 December 1947 Celle, Germany
Nationality	German
Alma mater	University of Hamburg
Scientific career
Fields	Physics
Institutions	University of Hamburg
Thesis	Die Quantenelektrodynamik mit einem Freiheitsgrad fuer das Photonfeld (1976)
Doctoral advisor	Gert Roepstorff Rudolf Haag

Biography

Klaus Fredenhagen was born on 1 December 1947 in Celle, a German city in Lower Saxony. He graduated in 1976^[2] from the University of Hamburg under the supervision of Gert Roepstorff and Rudolf Haag.^[3] In 1985 he became a privatdozent and in 1990 a full professor at the second theory institute of the Hamburg University.^[4] Since 2013 he has been a professor emeritus and has continued to be active in research.^[5]

Scientific career

His research interests are algebraic quantum field theory and quantum field theory in curved spacetime. In 1981 he proved the existence of antiparticles in massive quantum field theories without using the CPT-invariance.^[6] In 1990 he and Rudolf Haag made important contributions to the understanding of the Hawking radiation of black holes on a rigorous mathematical footing.^[7] In 1994, together with Sergio Doplicher and John E. Roberts, he investigated the mathematical foundations of quantum gravity in terms of the quantum structure of spacetime at the Planck scale.^[8] In 1996, together with Romeo Brunetti, he started working on the generalization of the Epstein-Glaser renormalization procedure of interacting quantum field theories in curved spacetime using techniques from the microlocal analysis.^[9] He is currently working, together with Detlev Buchholz, on a new C*-algebraic approach to interacting quantum field theories.^[10]

Honors and awards

In 1987 Klaus Fredenhagen was awarded the physics prize of the Göttingen Academy of Sciences^[11] and in 1997 he was Leibniz Professor^[12] at the University of Leipzig.^[13] In December 2017 the workshop Quantum Physics meets Mathematics was held in honor of his 70th birthday at the University of Hamburg.^[14]

Selected publications

Edited books

• Fredenhagen, Klaus (2015). "An Introduction to Algebraic Quantum Field Theory". In Brunetti, Romeo; Dappiaggi, Claudio; Fredenhagen, Klaus; Yngvason, Jakob (eds.). Advances in Algebraic Quantum Field Theory. Mathematical Physics Studies. Springer International Publishing. pp. 1–30. Bibcode:2015aaqf.book.....B. doi:10.1007/978-3-319-21353-8. ISBN 978-3-319-21352-1.
• Brunetti, Romeo; Fredenhagen, Klaus (2009). "Quantum Field Theory on Curved Backgrounds". In Fredenhagen, Klaus; Bär, Christian (eds.). Quantum Field Theory on Curved Backgrounds - concepts and mathematical foundations. Lecture Notes in Physics. Vol. 786. Springer. p. 129. arXiv:0901.2063. doi:10.1007/978-3-642-02780-2_5. ISBN 978-3-642-02779-6. S2CID 8325525.

Articles

• Doplicher, Sergio; Fredenhagen, Klaus; Roberts, John E. (1995). "The quantum structure of spacetime at the Planck scale and quantum fields". Communications in Mathematical Physics. 172 (1): 187–220. arXiv:hep-th/0303037. Bibcode:1995CMaPh.172..187D. doi:10.1007/BF02104515. S2CID 16206928.
• Doplicher, Sergio; Fredenhagen, Klaus; Roberts, John E (1994). "Space-time quantization induced by classical gravity". Physics Letters B. 331 (1–2): 39–44. Bibcode:1994PhLB..331...39D. doi:10.1016/0370-2693(94)90940-7.
• Brunetti, Romeo; Fredenhagen, Klaus; Verch, Rainer (2003). "The Generally covariant locality principle: A New paradigm for local quantum field theory". Communications in Mathematical Physics. 237 (1–2): 31–68. arXiv:math-ph/0112041. Bibcode:2003CMaPh.237...31B. doi:10.1007/s00220-003-0815-7. S2CID 119669414.
• Brunetti, Romeo; Fredenhagen, Klaus (2000). "Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds". Communications in Mathematical Physics. 208 (3): 623–661. arXiv:math-ph/9903028. Bibcode:2000CMaPh.208..623B. doi:10.1007/s002200050004. S2CID 13861991.
• Fredenhagen, Klaus (1981). "On the Existence of Anti-particles". Communications in Mathematical Physics. 79 (1): 141–151. Bibcode:1981CMaPh..79..141F. doi:10.1007/BF01208291. S2CID 120318097.
• Fredenhagen, Klaus; Haag, Rudolf (1990). "On the Derivation of Hawking Radiation Associated With the Formation of a Black Hole". Communications in Mathematical Physics. 127 (2): 273–284. Bibcode:1990CMaPh.127..273F. doi:10.1007/BF02096757. S2CID 122962630.
• Buchholz, Derlev; Fredenhagen, Klaus (2020). "A C*-algebraic approach to interacting quantum field theories" (PDF). Communications in Mathematical Physics. 377 (2): 947–969. arXiv:1902.06062. Bibcode:2020CMaPh.377..947B. doi:10.1007/s00220-020-03700-9. S2CID 92987721.

See also

• Physics portal
• Biography portal

• Local quantum physics
• Microlocal analysis
• Principle of locality
• Quantum field theory
• Quantum field theory in curved spacetime
• Quantum gravity

References

1. "Klaus Fredenhagen personal homepage". Hamburg University. Archived from the original on April 20, 2021. Retrieved March 28, 2021.
2. The doctoral thesis is Fredenhagen, Klaus (1976). Die Quantenelektrodynamik mit einem Freiheitsgrad für das Photonfeld (Thesis) (in German). Hamburg.
3. Klaus Fredenhagen at the Mathematics Genealogy Project.
4. He was the successor of Rudolf Haag's chair, who retired in 1987. See e.g. the historical overview "About the Theoretical Physics Institute II". Hamburg University. Archived from the original on April 18, 2021. Retrieved March 29, 2021.
5. "Fredenhagen, Klaus". Hamburg University (in German). Retrieved March 29, 2021.
6. Borchers, Hans-Jürgen (1992). "The CPT theorem in two-dimensional theories of local observables". Communications in Mathematical Physics. 143 (2): 315–332. Bibcode:1992CMaPh.143..315B. doi:10.1007/BF02099011. S2CID 120842877.
7. Kay, Bernard S. (2006). "Quantum Field Theory in Curved Spacetime". Encyclopedia of Mathematical Physics. Academic Press. pp. 202–212. arXiv:gr-qc/0601008. doi:10.1016/B0-12-512666-2/00018-3. ISBN 978-0-12-512666-3. S2CID 16258638.
8. Bahns, Dorothea; Doplicher, Sergio; Morsella, Gerardo; Piacitelli, Gherardo (2015). "Quantum Spacetime and Algebraic Quantum Field Theory". In Brunetti, Romeo; Dappiaggi, Claudio; Fredenhagen, Klaus; Yngvason, Jakob (eds.). Advances in algebraic quantum field theory. Springer, Cham. pp. 289–330. arXiv:1501.03298. doi:10.1007/978-3-319-21353-8_7. ISBN 978-3-319-21353-8. S2CID 118886773.
9. Khavkine, Igor; Moretti, Valter (2015). "Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction". In Brunetti, Romeo; Dappiaggi, Claudio; Fredenhagen, Klaus; Yngvason, Jakob (eds.). Advances in Algebraic Quantum Field Theory. Mathematical Physics Studies. Springer International Publishing. pp. 191–251. Bibcode:2015aaqf.book.....B. doi:10.1007/978-3-319-21353-8. ISBN 978-3-319-21352-1.
10. Buchholz, Detlev; Fredenhagen, Klaus (2020). "A C*-algebraic approach to interacting quantum field theories". Communications in Mathematical Physics. 377 (2): 947–969. arXiv:1902.06062. Bibcode:2020CMaPh.377..947B. doi:10.1007/s00220-020-03700-9. S2CID 92987721.
11. "Physics prize winners". Göttingen Academy of Sciences (in German). Retrieved March 30, 2021.
12. The Leibniz Professorship is one of the highest honor awarded by the University of Leipzig and it is granted every semester since 1994. See "Leibniz Professorship". Leipzig University. Retrieved March 29, 2021.
13. "Leibniz Alumni". Leipzig University. Retrieved March 29, 2021.
14. "Quantum Physics meets Mathematics - a workshop on the occasion of Klaus Fredenhagen's 70th birthday". Local Quantum Physics Crossroads. Retrieved March 28, 2021.

External links

• Klaus Fredenhagen at the Mathematics Genealogy Project.
• Literature by and about Klaus Fredenhagen in the German National Library catalogue
• Klaus Fredenhagen at zbMATH.
• Klaus Fredenhagen at the nLab.
• "Klaus Fredenhagen personal homepage". Hamburg University. Archived from the original on April 20, 2021. Retrieved March 28, 2021.
• "About the Theoretical Physics Institute II". Hamburg University. Archived from the original on April 18, 2021. Retrieved March 29, 2021.