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

1968-71: Second Committee.
1970-72: Special Fellowship Committee.
1971-83: Physics Library Committee.
1971-72: Graduate Appeals Committee, Physics.
1967-77: Particle Theory Seminar.
1977-78: Theorist Search Committee.
1982-83: Graduate Examinations Committee (Chairman).
1982-83: Particle Theory Seminar.
1983-84: Graduate Examinations Committee (Chairman F83).
1984-85: Particle Theory Seminar.
1985-95: Graduate Advisor.
1985-95: Graduate Student Minicolloquium (with Ted Hecht).
1985-86: Rackham Predoctoral Fellowship Review.
1985-86: Commencement Representative (December '85).
1986-88: Physics Library Committee.
1986-93: Employment Information Officer.
1987-96: Candidacy Committee (includes graduate advising).
Fall, 1989: On leave from committee duties.
1991-98: Particle Theory UNIX System Administrator (plus Macintosh's since 1994).
1993-95: Graduate Curriculum Committee.
1995-96: Physics Library Committee.
1995-96: Qualifying Exam Committee (Winter '96 and Fall '96).
1995-97: Computing Committee.
1996-97: Graduate Concerns Committee.
1997-98: Qualifying Exam Committee.

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 φ⁴ 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.

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.

1. "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].
2. "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].
3. "Theoretical Basis of the Symmetrization Postulate," Phys. Rev. 49, 1008–1009 (1966), with A. Messiah and J. Bros [abs] [©] [pdf].
4. "Energy-Momentum Conservation Implies Translation Invariance: Some Didactic Remarks," J. Math. Phys. 8, 1807–1816 (1967) [abs] [©] [pdf].
5. "Analytic Form Factors for Any Spin," Phys. Rev. D1, 1380–1388 (1970), with Y. P. Yao [abs] [©] [pdf].
6. "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].
7. "Euclidean Fermi Fields with a Hermitean Feynman-Kac-Nelson Formula. I," Commun. Math. Phys. 38, 65–80 (1974) [abs] [©] [pdf].
8. "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].
9. "The Euclidean Loop Expansion for Massive λφ⁴: Through One Loop," Commun. Math. Phys. 54, 193–218 (1977) [abs] [©] [pdf].
10. "Instability of the Existence of Non-Abelian Vector Potentials," Phys. Lett. 76B, 599–601 (1978) [abs] [©] [pdf].
11. "Euclidean Nonlinear Classical Field Equations with Unique Vacuum," Commun. Math. Phys. 63, 13–29 (1978), with J. Rauch [abs] [©] [pdf].
12. "Bounds for the Cutoff, Euclidean φ⁴ Perturbation Expansion," Phys. Rev. D19, 2935–2946 (1979) [abs] [©] [pdf].
13. "New Mathematical Proof of the Uncertainty Relation," Am. J. Phys. 47, 606–607 (1979) [abs] [©] [pdf].
14. "Large Width in the Lee model for the Higgs-Goldstone Sector," Nucl. Phys. B264, 423–436 (1986) [abs] [©] [pdf].
15. "On the Lattice Approach to the Maximum Higgs Boson Mass," Phys. Lett. 211B, 457–464 (1988), with M. Einhorn [abs] [©] [pdf].
16. "The Elastic Energy-Momentum Tensor in Special Relativity," Ann. Phys. 196, 345–360 (1989) [abs] [©] [pdf].

Books

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

Invited Lectures (conferences)

1. "On Stapp's Theorem," Lectures in Theoretical Physics, VIIA, (University of Colorado Press, Boulder, 1965), 173–189. with P. Minkowski and R. Seiler [pdf].

2. "The Dirac Algebra for Any Spin," Lectures in Theoretical Physics, VIIA, (University of Colorado Press, Boulder, 1965), 139–172 [pdf].

3. "Macroscopic Causality and Permanence of Smoothness for Two-Particle Scattering," Lectures in Theoretical Physics, XB, (Gordon and Breach, New York, 1968), 357–376 [pdf].

4. "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)

1. "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.
2. "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

1. "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

Preprints

1. "Matrix Elements of the Translation Operator: Variations on the Jost-Hepp Theorem" (long version of no. 1 under Conference Proceedings, 1970) [pdf].
2. "Euclidean Fermi Fields with a Hermitean Feymann-Kac-Nelson Formula, II," (1974) [pdf].
3. "Mathematical Remarks on Positivity and Self-Adjointness of the Euclidean Yang-Mills Stability Operator" (needs shortening).
4. "Remarks on Gauge-Fixing for the Euclidean, Yang-Mills Field" (needs revision).
5. "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].
6. "Schoonschip '91," (1993) UM-TH-91-18, with Martinus J. G. Veltman [pdf].

Selected Manuscripts

1. "Weak Asymptotic Causality and the Haag-Ruelle S Matrix" (mathematical work complete, manuscript incomplete, summary of results [pdf]).
2. "The Classical Relativistic Elastic String" [pdf].
3. "Triviality and Nontriviality of Ultralocal, Euclidean φ⁴" (mathematical work complete, manuscript in progress).

Intradepartmental Notes

1. "Notes on Classical Domains of Type IV and the SO(n,2) Conformal Groups" (1971).
2. "Notes on Higher Order Corrections to Positronium Lifetimes" (1976).
3. "Working Notes on the Positronium Hamiltonian" (1976).
4. "Notes on the Parapositronium Lifetime" (1976).
5. "Notes on the Triplet, J=1 Hamiltonian and Ground State" (1976).
6. "Notes on Successive Decay Rates" (1978).

Webprints

1. "A Model for Dynamic Strings" (2001–2004) [html].
2. "Dynamic-Strings Words" (2001–2008) [html].
3. "Compatible Structures in ANS Forth" (1994–2000) [pdf for printer] [pdf for screen].
4. "^Forth Words" (2001–2003) [html].
5. "Review Notes on Waves" (1995) [pdf].
6. "Introduction to Lorentz Spinors" (1995) [pdf].

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