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Dr. Michael Philip Fry

Fellow Emeritus (Pure & Applied Mathematics)


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M. P. Fry, Strong, random field behavior of the Euclidean Dirac propagator, Physical Review D, 98, (3), 2018, p033002-1 - 033002-5, Journal Article, PUBLISHED
M. P. Fry, Nonperturbative quantization of the electroweak model's electrodynamic sector, Physical Review D, 91, (8), 2015, p085026-1 - 085026-26, Journal Article, PUBLISHED
M. P. Fry , Stability of QED, Physical Review D, 84, (065021), 2011, Journal Article, PUBLISHED  TARA - Full Text  DOI  URL
M.P. Fry, Nonperturbative results for the mass dependence of the QED fermion determinant, Physical Review D, 81, (10), 2010, p4 , Journal Article, PUBLISHED  TARA - Full Text  DOI  URL
M. P. Fry, Evidence for mass zeros of the fermionic determinant in four-dimensional quantum electrodynamics, Physical Review, D75, 2007, p065002 - 065013, Journal Article, PUBLISHED
M. P. Fry, Fermion Determinants: Some Recent Analytic Results, Int. J. Mod. Phys. A , Paris, 7-11 June, 20, 2005, pp4492 - 4496, Notes: [hep-th/0411011], Conference Paper, PUBLISHED
M. P. Fry, Fermion determinants: some recent analytic results, International Journal of Modern Physics, A20, 2005, p4492 - 4496, Journal Article, PUBLISHED
M. P. Fry, Fermion Determinants 2003, Proceedings of the Sixth Workshop on Quantum Field Theory under the Influence of External Conditions, U. Oklahoma, Sept. 15-19, 2003, edited by Kimball A. Milton , Rinton Press, Princeton, NJ, 2004, pp271 , Notes: [hep-th/0311145], Conference Paper, PUBLISHED
M. P. Fry, Fermion determinant for general background gauge fields, Physical Review D, 67, 2003, p065017 - 065017, Notes: [hep-th/0301097], Journal Article, PUBLISHED
M. P. Fry, Fermion determinants, Int. J. Mod. Phys. A, 17, 2002, p936 - 936, Notes: [hep-th/0111244], Journal Article, PUBLISHED

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Award Date
Fellow of Trinity College Dublin
Alexander von Humboldt Fellow 1975-77
U.S. National Research Council Fellow 1970-72
Within the Standard Model fermionic determinants are required for the calculation of every physical process. They are the means by which virtual fermion loops are incorporated into a calculation. Without them color screening, quark fragmentation into hadrons and unitarity would be lost. Fermionic determinants are therefore fundamental. They are also hard to calculate, and physicists by and large lost interest in them during the early 1980s. With the advent of large machines lattice QCD physicists are now starting to include the determinant in their calculations. But analytic results remain very scarce. As with any problem in physics one begins with the simplest cases first, namely, QED determinants in 2, 3, and 4 dimensions. To be useful these determinants need to be known for a general background gauge field. Becuase of this the best one can hope for are restrictive upper and lower bounds on a determinant and its asymptotic behavior for small fermion mass and strong coupling. This is the subject of the papers listed below. It is expected that when QCD machines become large enough these results can be used to test lattice determinant calculations when extrapolated to infinite volume and zero lattice spacing.