Contact

• workRoom B17 The Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9514956
• fax0115 9514951
• john.barrett@nottingham.ac.uk
• http://johnwbarrett.wordpress.com/

Research Summary

Quantum gravity. Non-commutative geometry and physics.

Selected Publications

• BARRETT, JOHN W. and GLASER, LISA, 2016. Monte Carlo simulations of random non-commutative geometries JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 49(24),
• BARRETT, JOHN W., 2015. Matrix geometries and fuzzy spaces as finite spectral triples JOURNAL OF MATHEMATICAL PHYSICS. 56(8),
• JOHN W. BARRETT and SARA O. G. TAVARES, 2014. Two-dimensional state sum models and spin structures Communications in Mathematical Physics. 336(1), 63–100
• BARRETT, J.W., DOWDALL, R.J., FAIRBAIRN, W.J., HELLMANN, F. and PEREIRA, R., 2010. Lorentzian spin foam amplitudes: graphical calculus and asymptotics Classical and Quantum Gravity. 27(16), 165009

• View all publications

• MANUEL B\"ARENZ and JOHN W BARRETT, 2017. Dichromatic state sum models and four-dimensional topological quantum field theories from pivotal functors: Accepted for Communications in Mathematical Physics (In Press.)
• BARRETT, JOHN W. and GLASER, LISA, 2016. Monte Carlo simulations of random non-commutative geometries JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 49(24),
• BARRETT, JOHN W., 2015. Matrix geometries and fuzzy spaces as finite spectral triples JOURNAL OF MATHEMATICAL PHYSICS. 56(8),
• JOHN W. BARRETT and SARA O. G. TAVARES, 2014. Two-dimensional state sum models and spin structures Communications in Mathematical Physics. 336(1), 63–100
• BARRETT, JOHN W., KERR, STEVEN and LOUKO, JORMA, 2013. A topological state sum model for fermions on the circle JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 46(18),
• BARRETT, JOHN W. and HELLMANN, FRANK, 2012. Holonomy observables in Ponzano-Regge-type state sum models CLASSICAL AND QUANTUM GRAVITY. 29(4), 045006
• JOHN W. BARRETT, 2012. Quantum Gravity and Categories In: The 8th International Conference on Progress in Theoretical Physics (ICPTP 2011). 1444. 38-44
• JOHN W. BARRETT, R. J. DOWDALL, W. J. FAIRBAIRN, H. GOMES, F. HELLMANN and R. PEREIRA, 2012. Asymptotics of recent spin foam models In: Proceedings of the 12th Marcel Grossmann Meeting on General Relativity. Part C. 2279-2281
• BARRETT, JW, DOWDALL, RJ, FAIRBAIRN, WJ, GOMES, H, HELLMANN, F and PEREIRA, R, 2011. Asymptotics Of 4D Spin Foam Models General Relativity And Gravitation. 43(9), 2421-2436
• BARRETT, JOHN W., DOWDALL, RICHARD J., FAIRBAIRN, WINSTON J., GOMES, HENRIQUE, HELLMANN, FRANK and PEREIRA, ROBERTO, 2011. Asymptotics of 4d spin foam models GENERAL RELATIVITY AND GRAVITATION. 43(9), 2421-2436
• JOHN W. BARRETT, 2011. State sum models, induced gravity and the spectral action In: Proceedings of the Corfu Summer Institute 2011 / Proceedings of Science. CORFU2011.
• JOHN W. BARRETT, R. J. DOWDALL, W. J. FAIRBAIRN, F. HELLMANN and R. PEREIRA, 2011. Asymptotic analysis of Lorentzian spin foam models In: Proceedings of Science. QGQGS2011.
• BARRETT, J.W., DOWDALL, R.J., FAIRBAIRN, W.J., HELLMANN, F. and PEREIRA, R., 2010. Lorentzian spin foam amplitudes: graphical calculus and asymptotics Classical and Quantum Gravity. 27(16), 165009
• BARRETT, J.W., FAIRBAIRN, W.J. and HELLMANN, F., 2010. Quantum gravity asymptotics from the SU(2) 15j-symbol International Journal of Modern Physics A. 25(14), 2897-2916
• J.W.BARRETT, R.J. DOWDALL, W.J. FAIRBAIRN, H. GOMES and F. HELLMANN, 2009. A Summary of the asymptotic analysis for the EPRL amplitude AIP Conference Proceedings. 1196, 36-43
• BARRETT, J.W. and NAISH-GUZMAN, I, 2009. The Ponzano-Regge model Classical and Quantum Gravity. 26(15), 155014
• BARRETT, J.W., DOWDALL, R.J., FAIRBAIRN, W.J., GOMES, H. and HELLMANN, F., 2009. Asymptotic analysis Of The Engle-Pereira-Rovelli-Livine four-simplex amplitude Journal of Mathematical Physics. 50(11), 112504
• BARRETT, J.W. and NAISH-GUZMAN, I., 2008. The Ponzano-Regge model and Reidemeister torsion. In: KLEINERT, H., JANTZEN, R.T. and RUFFINI, R., eds., Proceedings of the Eleventh Marcel Grossmann Meeting on General Relativity World Scientific, Singapore.
• BARRETT, J.W., 2007. Lorentzian version of the non-commutative geometry of the standard model of particle physics Journal of Mathematical Physics. 48(1), 012303/1-7
• BARRETT, J.W., FARIA MARTINS, J.G. and GARCIA-ISLAS, J.M., 2007. Observables in the Turaev-Viro and Crane-Yetter models Journal of Mathematical Physics. 48(9), 093508
• BARRETT, J.W. and MACKAAY, M.A., 2006. Categorical representations of categorical groups Theory and Applications of Categories. 16(20), 529-557
• BARRETT, J.W., 2006. Feynman diagrams coupled to three-dimensional quantum gravity Classical and Quantum Gravity. VOL 23(NUMB 1), 137-142
• BARRETT, J.W. and MARTINS, R.A.D., 2006. Noncommutative geometry and the standard model vacuum (14 pages) Journal of Mathematical Physics. VOL 47(NUMB 5), 052305
• BARRETT, J.W., 2005. Feynman loops and three-dimensional quantum gravity Modern Physics Letters A. 20(17/18), 1271-1284
• BARRETT, J.W., 2003. Geometrical measurements in three-dimensional quantum gravity International Journal of Modern Physics A. 18(Supp 2), 97-114
• BARRETT, J.W. and STEELE, C.M., 2003. Asymptotics of relativistic spin networks Classical and Quantum Gravity. VOL 20(PART 7), 1341-1362
• BARRETT, J.W., 2003. Unlinked embedded graphs. In: RADFORD, D.E., SOUZA, F.J.O. and YETTER, D.N., eds., Diagrammatic Morphisms and Applications: AMS Special Session on Diagrammatic Morphisms in Algebra, Category theory and Topology 21-22 October 2000, San Fransisco State University, 318. American Mathematical Society. 23-28
• BAEZ, J.C. and BARRETT, J.W., 2001. Integrability for relativistic spin networks Classical and Quantum Gravity. 18(21), 4683-4700
• BARRETT, J.W., 2001. State sum models and quantum gravity In: XIIIth International Congress on Mathematical Physics. 259-266
• BARRETT, J.W., 2000. Refractive gravitational waves and quantum fluctuations arXiv.org, New York, USA. Available at: <http://arxiv.org/abs/gr-qc/0011051>
• BARRETT, J.W., 2000. Skein spaces and spin structures. In: New developments in Algebraic Topology
• BARRETT, J. W. and CRANE, L., 2000. A Lorentzian signature model for quantum general relativity Classical and Quantum Gravity. VOL 17(PART 16), 3101-3118
• BARRETT, J. W. and WILLIAMS, R. M., 1999. The Asymptotics of an Amplitude for the 4-simplex Advances in Theoretical and Mathematical Physics. VOL 3(NUMB 2), 209-216
• WESTBURY, B.W. and BARRETT, J.W., 1999. Spherical Categories Advances in Mathematics. 143, 357-375
• BARRETT, J. W., ROCEK, M. and WILLIAMS, R. M., 1999. A note on area variables in Regge calculus Classical and Quantum Gravity. VOL 16(NUMBER 4), 1373-1376
• BARRETT, J. W., 1999. Skein spaces and spin structures Mathematical Proceedings of the Cambridge Philosophical Society. VOL 126(NUMBER 2), 267-276
• BAEZ, J.C. and BARRETT, J.W., 1999. The Quantum Tetrahedron in 3 and 4 Dimensions Advances in Theoretical and Mathematical Physics. 3, 815-850
• BARRETT, J. W., 1998. The Classical Evaluation of Relativistic Spin Networks Advances in Theoretical and Mathematical Physics. VOL 2(NUMB 3), 593-600
• BARRETT, J. W. and CRANE, L., 1998. Relativistic spin networks and quantum gravity Journal of Mathematical Physics. VOL 39(NUMBER 6), 3296-3302
• BARRETT, J. W., GALASSI, M., MILLER, W. A., SORKIN, R. D., TUCKEY, P. A. and WILLIAMS, R. M., 1997. Parallelizable Implicit Evolution Scheme for Regge Calculus International Journal of Theoretical Physics. VOL 36(NUMBER 4), 815-840
• BARRETT, J. W. and CRANE, L., 1997. An algebraic interpretation of the Wheeler-DeWitt equation Classical and Quantum Gravity. VOL 14(NUMBER 8), 2113-2122
• WESTBURY, B.W. and BARRETT, J.W., 1996. Invariants of piecewise-linear 3-manifolds 348, 3997-4022