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Professor Hagen's research interests are in the field of theoretical [[high-energy physics]], primarily in the area of [[quantum field theory]]. This includes the formulation and [[Quantization (physics)|quantization]] of higher spin field theories within the context of [[Galilean invariance|Galilean relativity]] as well as that of [[Special relativity]]. Work in recent years has been concerned with such topics as the soluble two dimensional theories, [[Chern–Simons field theory]], the [[Aharonov–Bohm effect]], and the [[Casimir effect]]. In 2015, Hagen authored a paper that found the classic 17th century [[Wallis product|Wallis]] formula for [[pi|{{pi}}]] while calculating energy levels of the [[Hydrogen atom]] - the first paper to derive [[pi|{{pi}}]] from [[physics]] and [[quantum mechanics]].<ref>[http://dx.doi.org/10.1063/1.4930800 T. Friedmann ; C.R. Hagen. "Quantum mechanical derivation of the Wallis formula for {{pi}}." Journal of Mathematical Physics Vol. 56 (2015)]</ref><ref>[http://arxiv.org/pdf/1510.07813.pdf "Quantum mechanical derivation of the Wallis formula for {{pi}}." Journal of Mathematical Physics Vol. 56 (arxiv)]</ref><ref>[http://www.rochester.edu/newscenter/discovery-of-classic-pi-formula-a-cunning-piece-of-magic-128002/ "Discovery of classic pi formula a ‘cunning piece of magic'." University of Rochester (November 10, 2015)]</ref><ref>[https://www.aip.org/publishing/journal-highlights/new-derivation-pi-links-quantum-physics-and-pure-math "New derivation of pi links quantum physics and pure math." American Institute of Physics (November 10, 2015)]</ref><ref>[http://phys.org/news/2015-11-derivation-pi-links-quantum-physics.html "New derivation of pi links quantum physics and pure math." Phys.org (November 10, 2015)]</ref><ref>[http://physicsworld.com/cws/article/news/2015/nov/17/revealing-the-hidden-connection-between-pi-and-bohrs-hydrogen-model "Revealing the hidden connection between {{pi}} and Bohr's hydrogen model." Physics World (November 17, 2015)]</ref>
Professor Hagen's research interests are in the field of theoretical [[high-energy physics]], primarily in the area of [[quantum field theory]]. This includes the formulation and [[Quantization (physics)|quantization]] of higher spin field theories within the context of [[Galilean invariance|Galilean relativity]] as well as that of [[Special relativity]]. Work in recent years has been concerned with such topics as the soluble two dimensional theories, [[Chern–Simons field theory]], the [[Aharonov–Bohm effect]], and the [[Casimir effect]]. In 2015, Hagen authored a paper that found the classic 17th century [[Wallis product|Wallis]] formula for [[pi|{{pi}}]] while calculating energy levels of the [[Hydrogen atom]] - the first paper to derive [[pi|{{pi}}]] from [[physics]] and [[quantum mechanics]].<ref>[http://dx.doi.org/10.1063/1.4930800 T. Friedmann ; C.R. Hagen. "Quantum mechanical derivation of the Wallis formula for {{pi}}." Journal of Mathematical Physics Vol. 56 (2015)]</ref><ref>[http://arxiv.org/pdf/1510.07813.pdf "Quantum mechanical derivation of the Wallis formula for {{pi}}." Journal of Mathematical Physics Vol. 56 (arxiv)]</ref><ref>[http://www.rochester.edu/newscenter/discovery-of-classic-pi-formula-a-cunning-piece-of-magic-128002/ "Discovery of classic pi formula a ‘cunning piece of magic'." University of Rochester (November 10, 2015)]</ref><ref>[https://www.aip.org/publishing/journal-highlights/new-derivation-pi-links-quantum-physics-and-pure-math "New derivation of pi links quantum physics and pure math." American Institute of Physics (November 10, 2015)]</ref><ref>[http://phys.org/news/2015-11-derivation-pi-links-quantum-physics.html "New derivation of pi links quantum physics and pure math." Phys.org (November 10, 2015)]</ref><ref>[http://physicsworld.com/cws/article/news/2015/nov/17/revealing-the-hidden-connection-between-pi-and-bohrs-hydrogen-model "Revealing the hidden connection between {{pi}} and Bohr's hydrogen model." Physics World (November 17, 2015)]</ref>


Born and raised in [[Chicago]], Hagen received his [[Bachelor of Science|B.S.]], [[Master of Science|M.S.]], and [[Ph.D.]] in [[MIT Physics Department#Notable alumni|physics]] from the [[Massachusetts Institute of Technology]].<ref>[http://www.technologyreview.com/article/24610/ MIT Technology Review - Hagen and Guralnik’s award-winning physics work began during undergraduate days, Spring 2010]</ref> At [[Massachusetts Institute of Technology|MIT]], his [[Thesis|doctoral thesis]] topic was in [[quantum electrodynamics]]. He has been a [[professor]] of [[physics]] at the [[University of Rochester]] since 1963. Professor Hagen won the Award for Excellence in Teaching, Department of Physics and Astronomy, [[University of Rochester]] twice (in 1996 and 1999). Hagen is a Fellow of the [[American Physical Society]] and was named Outstanding Referee by APS in 2008.<ref>[http://www.aps.org/programs/honors/fellowships/ American Physical Society Fellows]</ref><ref>[http://publish.aps.org/OutstandingReferees American Physical Society Outstanding Referees]</ref> [[Valparaiso University]] awarded Hagen the degree [[Honorary degree|Honorary Doctor of Science]] in 2012 for his significant contributions to [[particle physics]] and the theory of [[mass]] generation.<ref>[http://www.valpo.edu/news/2012/05/30/community-leaders-noted-scientist-among-honorary-degree-recipients/ Valparaiso University 2012 Honorary Degree Press Release]</ref><ref>{{YouTube|DarxkU7GccA|Valparaiso University 2012 Commencement (video)}}</ref>
Born and raised in [[Chicago]], Hagen received his [[Bachelor of Science|B.S.]], [[Master of Science|M.S.]], and [[Ph.D.]] in [[MIT Physics Department#Notable alumni|physics]] from the [[Massachusetts Institute of Technology]].<ref>[http://www.technologyreview.com/article/24610/ MIT Technology Review - Hagen and Guralnik’s award-winning physics work began during undergraduate days, Spring 2010]</ref> At [[Massachusetts Institute of Technology|MIT]], his [[Thesis|doctoral thesis]] topic was in [[quantum electrodynamics]]. He has been a [[professor]] of [[physics]] at the [[University of Rochester]] since 1963. Professor Hagen won the Award for Excellence in Teaching, Department of Physics and Astronomy, [[University of Rochester]] twice (in 1996 and 1999). Hagen is a Fellow of the [[American Physical Society]] and was named Outstanding Referee by APS in 2008.<ref>[http://www.aps.org/programs/honors/fellowships/ American Physical Society Fellows]</ref><ref>[http://publish.aps.org/OutstandingReferees American Physical Society Outstanding Referees] {{webarchive|url=http://wayback.vefsafn.is/wayback/20120318024701/http://publish.aps.org/OutstandingReferees |date=2012-03-18 }}</ref> [[Valparaiso University]] awarded Hagen the degree [[Honorary degree|Honorary Doctor of Science]] in 2012 for his significant contributions to [[particle physics]] and the theory of [[mass]] generation.<ref>[http://www.valpo.edu/news/2012/05/30/community-leaders-noted-scientist-among-honorary-degree-recipients/ Valparaiso University 2012 Honorary Degree Press Release]</ref><ref>{{YouTube|DarxkU7GccA|Valparaiso University 2012 Commencement (video)}}</ref>


==See also==
==See also==

Revision as of 08:55, 28 July 2017

Carl Richard Hagen
Born (1937-02-02) February 2, 1937 (age 87)
Chicago, Illinois
Alma materMIT (BS, MS, PhD)
Luther North High School - Chicago
Known forQuantum field theory, Standard Model, Symmetry breaking, Higgs boson, Higgs mechanism, Galilean relativity, Special relativity, Chern–Simons, Aharonov–Bohm effect, Casimir effect, Mathematical physics
AwardsSakurai Prize (2010), APS Fellow
Scientific career
FieldsParticle physics
InstitutionsUniversity of Rochester
Imperial College London
American University of Beirut
International Centre for Theoretical Physics
Aspen Center for Physics
Doctoral advisorKenneth A. Johnson, MIT

Carl Richard Hagen (/ˈheɪɡən/; born 2 February 1937) is a professor of particle physics at the University of Rochester. He is most noted for his contributions to the Standard Model and Symmetry breaking as well as the 1964 co-discovery of the Higgs mechanism and Higgs boson with Gerald Guralnik and Tom Kibble (GHK).[1][2][3][4][5] As part of Physical Review Letters 50th anniversary celebration, the journal recognized this discovery as one of the milestone papers in PRL history.[6] While widely considered to have authored the most complete of the early papers on the Higgs theory, GHK were controversially not included in the 2013 Nobel Prize in Physics.[7][8][9][10][11][12][13]

In 2010, Hagen was awarded The American Physical Society's J. J. Sakurai Prize for Theoretical Particle Physics for the "elucidation of the properties of spontaneous symmetry breaking in four-dimensional relativistic gauge theory and of the mechanism for the consistent generation of vector boson masses".[14][15][16][17][18]

Professor Hagen's research interests are in the field of theoretical high-energy physics, primarily in the area of quantum field theory. This includes the formulation and quantization of higher spin field theories within the context of Galilean relativity as well as that of Special relativity. Work in recent years has been concerned with such topics as the soluble two dimensional theories, Chern–Simons field theory, the Aharonov–Bohm effect, and the Casimir effect. In 2015, Hagen authored a paper that found the classic 17th century Wallis formula for π while calculating energy levels of the Hydrogen atom - the first paper to derive π from physics and quantum mechanics.[19][20][21][22][23][24]

Born and raised in Chicago, Hagen received his B.S., M.S., and Ph.D. in physics from the Massachusetts Institute of Technology.[25] At MIT, his doctoral thesis topic was in quantum electrodynamics. He has been a professor of physics at the University of Rochester since 1963. Professor Hagen won the Award for Excellence in Teaching, Department of Physics and Astronomy, University of Rochester twice (in 1996 and 1999). Hagen is a Fellow of the American Physical Society and was named Outstanding Referee by APS in 2008.[26][27] Valparaiso University awarded Hagen the degree Honorary Doctor of Science in 2012 for his significant contributions to particle physics and the theory of mass generation.[28][29]

See also

References

  1. ^ Guralnik, G.; Hagen, C.; Kibble, T. (1964). "Global Conservation Laws and Massless Particles". Physical Review Letters. 13 (20): 585–587. Bibcode:1964PhRvL..13..585G. doi:10.1103/PhysRevLett.13.585.
  2. ^ Guralnik, G.; Hagen, C.; Kibble, T. (1964). "Global Conservation Laws and Massless Particles". Physical Review Letters 13 (20): 585–587
  3. ^ Guralnik, Gerald S. (2009). "The History of the Guralnik, Hagen and Kibble development of the Theory of Spontaneous Symmetry Breaking and Gauge Particles". International Journal of Modern Physics. A24 (14): 2601–2627. arXiv:0907.3466. Bibcode:2009IJMPA..24.2601G. doi:10.1142/S0217751X09045431.
  4. ^ "Guralnik, G S; Hagen, C R and Kibble, T W B (1967). Broken Symmetries and the Goldstone Theorem. Advances in Physics, vol. 2" (PDF).
  5. ^ "4 July 2012: A Day to Remember,” CERN Courier, 23 August 2012
  6. ^ Physical Review Letters - 50th Anniversary Milestone Papers
  7. ^ "Nobel committee’s ‘Rule of Three’ means some Higgs boson scientists were left out." Washington Post (October 8, 2013)
  8. ^ “The 2013 Nobel prizes. Higgs’s bosuns.” Economist (October 12, 2013)
  9. ^ “Why are some scientists unhappy with the Nobel prizes?” Economist (October 9, 2013)
  10. ^ "House of dreams. Scientists race to explain why the Higgs boson matters." Economist (March 3, 2012)
  11. ^ G.S. Guralnik, C.R. Hagen (2014), "Where Have All the Goldstone Bosons Gone?"
  12. ^ "Gerald Guralnik, 77, a 'God Particle' Pioneer, Dies". New York Times. May 3, 2014.
  13. ^ "Tom Kibble, Physicist Who Helped Discover the Higgs Mechanism, Dies at 83". New York Times. July 19, 2016.
  14. ^ University of Rochester Physics - C.R. Hagen Wins 2010 J. J. Sakurai Prize for Theoretical Particle Physics
  15. ^ University of Rochester 2010 Sakurai Prize Press Release
  16. ^ American Physical Society - J. J. Sakurai Prize Winners
  17. ^ C. Richard Hagen - 2010 J. J. Sakurai Prize Winner
  18. ^ 2010 Sakurai Prize Videos
  19. ^ T. Friedmann ; C.R. Hagen. "Quantum mechanical derivation of the Wallis formula for π." Journal of Mathematical Physics Vol. 56 (2015)
  20. ^ "Quantum mechanical derivation of the Wallis formula for π." Journal of Mathematical Physics Vol. 56 (arxiv)
  21. ^ "Discovery of classic pi formula a ‘cunning piece of magic'." University of Rochester (November 10, 2015)
  22. ^ "New derivation of pi links quantum physics and pure math." American Institute of Physics (November 10, 2015)
  23. ^ "New derivation of pi links quantum physics and pure math." Phys.org (November 10, 2015)
  24. ^ "Revealing the hidden connection between π and Bohr's hydrogen model." Physics World (November 17, 2015)
  25. ^ MIT Technology Review - Hagen and Guralnik’s award-winning physics work began during undergraduate days, Spring 2010
  26. ^ American Physical Society Fellows
  27. ^ American Physical Society Outstanding Referees Archived 2012-03-18 at the National and University Library of Iceland
  28. ^ Valparaiso University 2012 Honorary Degree Press Release
  29. ^ Valparaiso University 2012 Commencement (video) on YouTube

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