**Personal**

*Born*: October 10, 1934, Lewisburg, Tennessee.*Married*: June 2, 1956, to Jean Marie Boyd, middle school and high school mathematics teacher at Greenhills School. Two grown children.

**Education**

*1952*: Spring City High School, Spring City, Tennessee, valedictorian.*1956*: B.A.*magna cum laude,*Maryville College, majors in physics and philosophy.*January, 1964*: Ph.D., University of California, Berkeley, in theoretical particle physics.

**Awards and Honors**

*1974*: Honorary Doctor of Science degree, Maryville College.*1997*: Excellence in Teaching Award, University of Michigan.

**Postdoctoral Appointments**

*1963-65*: Eidgenössische Technische Hochschule, Zürich, Institut für Theoretische Physik.*1965-66*: Centre d'Etudes Nucléaires, Saclay.*1966-67*: The Institute for Advanced Study, Princeton.

**Positions**

*1956-58*: Programmer for high-speed digital computers, Lockheed Missile Systems Division, Palo Alto, California (part-time grad student at the University of California, Berkeley, on Lockheed Advanced Study Program).*1967-73*: Assistant Professor of Theoretical Physics, The University of Michigan, Ann Arbor.*1973-80*: Associate Professor, The University of Michigan, Ann Arbor.*1974 (Spring)*: Visitor, Freie Universität Berlin.*1974 (Summer)*: Visitor, The University of Melbourne.*1980-99*: Professor, The University of Michigan, Ann Arbor.*1987-89*: Scientific Computation Group, University of Michigan Computing Center (10% appointment).*1998-99*: Retirement furlough.*1999-present*: Professor Emeritus, The University of Michigan, Ann Arbor.

**Departmental Service**

**Research Activities and Interests: Symbolic
Computation, Triviality**

Although officially retired, I expect to remain active for a number of years to come.

My main research effort for the several years before and after retirement was spent on software development for symbolic and scientific computation. That was mostly related to rewriting Prof. M. Veltman's Schoonschip for a portable, open software environment, based on Forth and C. In the meantime, Prof. Jos Vermaseren's Form, an intellectual descendent of Schoonschip with similar capabilities for large problems, became available without cost. Since it had also become a tool of choice among quantum field theorists, I considered myself scooped.

Because I feel that there is still a useful scope for an open software implementation of Schoonschip, I might conceivably take it up again.

My other physics research interests have been getting lower
priority, but I still devote some time to them. It has been
believed for a number of years that φ^{4} quantum
field theory is trivial (no interaction) in four space-time
dimensions, which applies to the Higgs meson sector of the
standard model. This is a relevant topic, because the presumed
triviality of the Higgs meson shows up in the structure of
low-energy effective field theories, which are nontrivial
because of a cutoff. Several years ago, Baker and Wightman
proposed a mechanism for avoiding the triviality theorems, and
about the same time I found a model that turned out to realize
their mechanism while avoiding a problem they had with the
cluster property. The model led me to an idea on how to extend
Baker and Wightman's mechanism to satisfy the cluster property
and avoid triviality in the general situation. It remains an
interesting question, and my perspective on it is still unusual
and really ought to be pursued. Some questions that are too
hard for analytical analysis ought to be studied with modern
lattice field theory computational methods. At the very least,
my results make it logically inescapable that triviality is
unsettled.

Among several dormant topics on which I have not worked for awhile, I still have an interest in the point limit of a classical, relativistic charge.

- "Construction of Invariant Scattering Amplitudes without Kinematical Singularities for Arbitary Spin, Nonzero-Mass, Two-body Scattering Processes," The University of California, Berkeley, UCRL 11113 (1963), dissertation directed by H. P. Stapp [abs] [pdf].
- "Construction of Invariant Scattering Amplitudes for
Arbitrary Spins and Analytic Continuation in Total Angular
Momentum,"
*Phys. Rev.***130**, 442–457 (1963), with A. O. Barut and I. J. Muzinich [abs] [©] [pdf]. - "Theoretical Basis of the Symmetrization Postulate,"
*Phys. Rev.***49**, 1008–1009 (1966), with A. Messiah and J. Bros [abs] [©] [pdf]. - "Energy-Momentum Conservation Implies Translation
Invariance: Some Didactic Remarks,"
*J. Math. Phys.***8**, 1807–1816 (1967) [abs] [©] [pdf]. - "Analytic Form Factors for Any Spin,"
*Phys. Rev.***D1**, 1380–1388 (1970), with Y. P. Yao [abs] [©] [pdf]. - "Difficulty with a Kinematic Concept of Unstable
Particles: the Sz.-Nagy Extension and the
Matthews-Salam-Zwanziger Representation,"
*Commun. Math. Phys.***21**, 314–333 (1971) [abs] [©] [ pdf]. - "Euclidean Fermi Fields with a Hermitean
Feynman-Kac-Nelson Formula. I,"
*Commun. Math. Phys.***38**, 65–80 (1974) [abs] [©] [pdf]. - "On the Bound States of the Massless Free Field in Two
Space-Time Dimensions,"
*Nucl. Phys.***B116**, 133–140 (1976), with R. Seiler and D. Uhlenbrock [abs] [©] [pdf]. - "The Euclidean Loop Expansion for Massive
λφ
^{4}: Through One Loop,"*Commun. Math. Phys.***54**, 193–218 (1977) [abs] [©] [pdf]. - "Instability of the Existence of Non-Abelian Vector
Potentials,"
*Phys. Lett.***76B**, 599–601 (1978) [abs] [©] [pdf]. - "Euclidean Nonlinear Classical Field Equations with Unique
Vacuum,"
*Commun. Math. Phys.***63**, 13–29 (1978), with J. Rauch [abs] [©] [pdf]. - "Bounds for the Cutoff, Euclidean φ
^{4}Perturbation Expansion,"*Phys. Rev.***D19**, 2935–2946 (1979) [abs] [©] [pdf]. - "New Mathematical Proof of the Uncertainty Relation,"
*Am. J. Phys.***47**, 606–607 (1979) [abs] [©] [pdf]. - "Large Width in the Lee model for the Higgs-Goldstone
Sector,"
*Nucl. Phys.***B264**, 423–436 (1986) [abs] [©] [pdf]. - "On the Lattice Approach to the Maximum Higgs Boson Mass,"
*Phys. Lett.***211B**, 457–464 (1988), with M. Einhorn [abs] [©] [pdf]. - "The Elastic Energy-Momentum Tensor in Special Relativity,"
*Ann. Phys.***196**, 345–360 (1989) [abs] [©] [pdf].

Abstracts can be viewed by clicking on [abs]. Downloadable copies of articles at [pdf] links may be either author- or publisher-supplied versions. Publisher copyright notices can be viewed by clicking on [©]. Please check those for restrictions on further distribution.

**Books**

*TASI Lectures in Elementary Particle Physics 1984,*TASI Publications, Ann Arbor, 1984, edited by DNW, 657 pp.*Schoonschip, A Program for Symbol Handling,*M. J. G. Veltman, 1991, edited by DNW, 165 pp. [pdf]

**Invited Lectures (conferences)**

- "On Stapp's Theorem,"
*Lectures in Theoretical Physics, VIIA,*(University of Colorado Press, Boulder, 1965), 173–189. with P. Minkowski and R. Seiler [pdf]. - "The Dirac Algebra for Any Spin,"
*Lectures in Theoretical Physics, VIIA,*(University of Colorado Press, Boulder, 1965), 139–172 [pdf]. - "Macroscopic Causality and Permanence of Smoothness for
Two-Particle Scattering,"
*Lectures in Theoretical Physics, XB,*(Gordon and Breach, New York, 1968), 357–376 [pdf]. - "Topics on Euclidean Classical Field Equations with
Unique Vacuua,"
*Feynman Path Integrals: Proceedings of the International Colloquium on Feynman Path Integrals, Marseille, 1978,*S. A. Albeverio, ed. (Springer-Verlag, Heidelberg, 1979), 189–202, with J. Rauch, invited lecture by DNW.

**Invited Talks (conferences)**

- "Instanton Gas Parameters in the Double Well Model,"
*Mathematical Problems in Theoretical Physics: Proceedings of the VIth International Conference on Mathematical Physics, Berlin (West), August 11–20, 1981,*R. Schrader, R. Seiler, and D. A. Uhlenbrock, eds. (Springer-Verlag, Heidelberg, 1982), 295–297. - "Higgs Parameters and the Euclidean Two-Point Function," Lattice Higgs Workshop, Florida State University Supercomputer Research Institute, May, 1988, with M. Einhorn, 20-minute talk by DNW.

**Conference Proceedings**

- "The Jost-Hepp Theorem for Analytic Vectors,"
*Analytic Methods in Mathematical Physics,*Symposium on Analytic Methods in Mathematical Physics (1968: Indiana University), Robert P. Gilbert and Roger G. Newton, eds. (Gordon and Breach, London, 1970), 557–560.

**Unpublished Reports**

- "Matrix Elements of the Translation Operator: Variations on the Jost-Hepp Theorem" (long version of no. 1 under Conference Proceedings, 1970) [pdf].
- "Euclidean Fermi Fields with a Hermitean Feymann-Kac-Nelson Formula, II," (1974) [pdf].
- "Mathematical Remarks on Positivity and Self-Adjointness of the Euclidean Yang-Mills Stability Operator" (needs shortening).
- "Remarks on Gauge-Fixing for the Euclidean, Yang-Mills Field" (needs revision).
- "Effective Criticality, Stability, and Computational Solution of the Double Well Nondilute Pair Configuration," UM-TH-90-07. A combination of "Effective Criticality and Stability of the Double Well Coincident Pair Configuration," (1989) UM-TH-82-11 [pdf], and "Computational Solution for the Double Well Nondilute Pair Configuration," (1989) UM-TH-89-07 [pdf].
- "Schoonschip '91," (1993) UM-TH-91-18, with Martinus J. G. Veltman [pdf].
- "Weak Asymptotic Causality and the Haag-Ruelle S Matrix" (mathematical work complete, manuscript incomplete, summary of results [pdf]).
- "The Classical Relativistic Elastic String" [pdf].
- "Triviality and Nontriviality of Ultralocal, Euclidean
φ
^{4}" (mathematical work complete, manuscript in progress). - "Notes on Classical Domains of Type IV and the SO(n,2) Conformal Groups" (1971).
- "Notes on Higher Order Corrections to Positronium Lifetimes" (1976).
- "Working Notes on the Positronium Hamiltonian" (1976).
- "Notes on the Parapositronium Lifetime" (1976).
- "Notes on the Triplet, J=1 Hamiltonian and Ground State" (1976).
- "Notes on Successive Decay Rates" (1978).
- "A Model for Dynamic Strings" (2001–2004) [html].
- "Dynamic-Strings Words" (2001–2008) [html].
- "Compatible Structures in ANS Forth" (1994–2000) [pdf for printer] [pdf for screen].
- "^Forth Words" (2001–2003) [html].
- "Review Notes on Waves" (1995) [pdf].
- "Introduction to Lorentz Spinors" (1995) [pdf].

*Preprints*

*Selected Manuscripts*

*Intradepartmental Notes*

*Webprints*

**Postdoctoral Associates**

*1971–73*: Ira W. Herbst

**Ph.D. Dissertation Committee Chairmanships**

*1977*: Leonard Margolin
*1979*: James R. Freeling

**Ph.D. Dissertation Committee Memberships**

*1970*: B. Gidas (Math)
*1973*: L. Willson (Astron)
*1975*: M. Handelman
*1975*: M. Slutsky
*1976*: D. Brydges (Math)
*1976*: M. Marafi
*1977*: G. Law
*1978*: H. Haber
*1979*: B. Weeks
*1979*: J. Warner (Chem)
*1979*: T. Hannesson (Chem)
*1982*: D. Reichel
*1983*: J. Berkowitz
*1984*: T. Haddock (Astron)
*1985*: J. Hautman
*1985*: P. Kesten
*1985*: C. Williamson (Math)
*1986*: J. James
*1986*: R. Phelps
*1986*: F. Schultheis (Math)
*1987*: J. Garaizar (Math)
*1987*: P. Hernández-Tejeda
*1987*: R. Shepherd (Nuc Eng)
*1990*: A. Majumder
*1990*: B. Makkinejad
*1990*: R. Seidel (Math)
*1990*: D. Casper
*1991*: D. Ciampa
*1991*: A. Nguyen
*1993*: R. Anderson
*1995*: D. Frey (Math)
*1995*: A. Dunn
*1996*: V. Pant (Math)
*1996*: A. Nair (Math)
*1998*: W. Wu
*2000*: S. Gladycheva

**Undergraduate Honors Theses**

*1994*: Michael Weiss

**Summer Undergraduate Research Awards**

*1993*: Michael Weiss

I-67 | 126 Rec | I-84 | 505 Lec | |

II-68 | 807 Sem | 240 Rec(1) | ||

I-68 | 145 Rec | II-85 | 506 Lec | |

601 Lec | 125 Rec(1) | |||

II-69 | 126 Rec | I-85 | 405 Lec | |

I-69 | 240 Rec | II-86 | 405 Lec | |

601 Lec | 240 Rec(1) | |||

II-70 | 240 Rec | I-86 | 511 Lec | |

802 Sem | II-87 | 512 Lec | ||

I-70 | 511 Lec | I-87 | 405 Lec | |

II-71 | 512 Lec | II-88 | 506 Lec | |

I-71 | 513 Lec | I-88 | 405 Lec | |

II-72 | 126 Rec | II-89 | 240 Rec(3) | |

511 Lec | I-89 | 240 Rec(1) | ||

I-72 | 140 Rec | II-90 | 405 Lec | |

512 Lec | I-90 | 240 Rec(3) | ||

II-73 | 513 Lec | I-90 | 240 Rec(3) | |

621 Lec | II-91 | 405 Lec | ||

140 Rec | I-91 | 507 Lec | ||

I-73 | 621 Lec | II-92 | 512 Lec | |

240 Rec | 240K "Lec," Rec(1) | |||

II-74 | Sabbatical | I-92 | 451 Lec | |

I-74 | 507 Lec | 240K "Lec," Rec(2) | ||

140 Rec | 715 (2 sem hrs, Susan Sund) | |||

II-75 | 511 Lec | II-93 | 452 Lec | |

240 Rec | 240K "Lec," Rec(2) | |||

I-75 | 512 Lec | I-93 | 240K "Lec," Rec(2) | |

125 Rec | 334K Tutors | |||

II-76 | 240 Rec (3) | 240 Rec(2) | ||

III-76 | 125 Rec | Senior Thesis (Michael Weiss) | ||

126 Rec | II-94 | 453 Lec | ||

I-76 | 507 Lec | 240K "Lec," Rec(2) | ||

240 Rec | 334K Tutors | |||

II-77 | 240 Rec(4) | Senior Thesis (Michael Weiss) | ||

I-77 | 509 Lec | I-94 | 240K "Lec," Rec(2) | |

125 Rec | 334K Tutors | |||

II-78 | 510 Lec | II-95 | 240K "Lec," Rec(2) | |

I-78 | 240 Rec (1D-1R) | 334K Tutors | ||

II-79 | 240 Rec (1D-1R) | I-95 | 242 "Lec," Rec(1) | |

III-79 | 240 Rec | II-96 | 240K "Lec," Rec(2) | |

I-79 | 507 Lec | 334K Tutors | ||

240 Rec | I-96 | 240K "Lec," Rec(2) | ||

II-80 | 511 Lec | 334K Tutors | ||

240 Rec | 240 Rec(3) | |||

I-80 | 405 Lec | II-97 | 240K "Lec," Rec(2) | |

II-81 | 405 Lec | 334K Tutors | ||

240 Rec | I-97 | 240K "Lec," Rec(2) | ||

I-81 | Sabbatical | 334K Tutors | ||

II-82 | 140 Rec(3) | 125 Rec(3) | ||

I-82 | 505 Lec | II-98 | 240K "Lec," Rec(2) | |

II-83 | 506 Lec | 334K Tutors | ||

I-83 | 505 Lec | 260 Lec, "Rec" | ||

II-84 | 506 Lec |

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