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# Dr. Neil Christensen

### Current Courses

### Research Interests & Areas

### Ph D Theoretical Physics

### BA Mathematics

### AA

### Pre-tenure Faculty Initiative Grant

### New Faculty Initiative Grant

### Honorable Teaching Award

### Summer Undergraduate Research Award for Independent Research

### Research Grant

### The Pennsylvania Space Grant Consortium Research Scholarship

### Samuel P. Langley PITT-PACC Fellowship

### LHC-TI Fellowship

### Max Dresden Theoretical Physics Thesis Prize

### NSF TASI Grant

### Journal Article

### Presentations

*Constructing Gravity*. Physics Department Collouquium. Department of Physics, Illinois State University. (2019)
*The Constructive Standard Model*. Phenomenology Group Seminar. Department of Physics, University of Illinois at Urbana-Champaign. (2018)
*Determing the Spin of Dark Matter*. Physics Department Colloquium. Illinois State University. (2014)
### Grants & Contracts

*Samuel P. Langley PITT-PACC Fellowship*. PITTsburgh Particle-physics Astro-physics and Cosmology Center (PITT-PACC). Other.

Assistant Professor

Physics

- About
- Education
- Awards & Honors
- Research

380.001General Relativity

112.001Physics For Science And Engineering III

112.002Physics For Science And Engineering III

290.016Research In Physics

307.001Seminar In Physics

Relativistic Quantum Mechanics

Two of the great revolutions of physics in the 20th century were relativity and quantum mechanics. Combining special relativity and quantum mechanics produced relativistic quantum mechanics or, as it is better known, quantum field theory. As soon as it was created, quantum field theory predicted the existence of antiparticles which were discovered shortly afterwards. Almost a century later, quantum field theory has become a mature field and is the framework within which the Standard Model of particle physics is built. The Standard Model has been extremely successful at predicting and explaining almost all experiments to date, with the most recent success being the spectacular confirmation of the Higgs boson predicted by the Standard Model. Nevertheless, there are many outstanding problems that are not yet accounted for by the Standard Model. Among those are the fine-tuning problem of the Higgs boson, the properties of dark matter, the explanation for dark energy, a detailed understanding of the hierarchy of fermion masses and the abundance of matter but not antimatter in the universe. On the other hand, there are also fundamental problems with quantum field theory itself. It is not able to successfully accommodate gravity at very small scales and therefore appears to be incomplete. Furthermore, new methods of calculating the probability of particle scattering appear to be leading us towards a more fundamental theory of relativistic quantum mechanics opening up new areas of research into fundamental physics.

My research deals with the exploration of these problems, both in the Standard Model and in the fundamental aspects of relativistic quantum mechanics itself. I use a combination of analytical and computational methods to explore these problems, sometimes emphasizing one and sometimes the other. Computational power continues to grow exponentially, following Moore's law, enabling ever more complex calculations. It is my belief that this will create one of the next revolutions in fundamental physics and therefore apply a good amount of my time in this direction. On the other hand, a new theoretical understanding of a problem can often far surpass even the most powerful computational model. So, I think it is important to approach fundamental physics from both directions and find the most advantageous route at a particular time. Here are a few of my recent publications:

On Tree-Level Unitarity in Theories of Massive Spin-2 Bosons
NDC and Stefanus (a graduate student at the University of PIttsburgh)
We analyzed the scattering of massive spin-2 bosons in a theory with generic couplings in order to determine whether conservation of probability could be achieved at "tree-level". We wrote a computational code to calculate these complicated scattering amplitudes and analyze whether the probability conservation could be achieved in each case.

A New Method for the Spin Determination of Dark Matter
NDC and Daniel Salmon (an undergraduate at the University of Pittsburgh)
We developed and simulated the use of a new analytical formula to determine the spin of dark matter at an electron-positron collider that is planned to be built in the near future. We wrote computational code and ran extensive simulations of particle collisions to show the efficacy of our new formula for determining the dark matter spin.

FeynRules 2.0 - A Complete Toolbox for Tree-Level Phenomenology
Adam Alloul, NDC, Celine Degrande, Claude Duhr and Benjamin Fuks
We released version 2.0 of a computational physics code that we wrote that enables physicists to implement and study new theoretical models that attempt to explain the challenges with the Standard Model described above. This is an update of version 1.0 which was authored by myself and Claude Duhr (who was a graduate student at the time) and has been extremely popular in our field.

A complete listing of my publications can be found on the inSpire website.

Stony Brook University

Stony Brook, NY

University of Utah

Salt Lake City, UT

Snow College

Ephraim, UT

Illinois State University

2016

Illinois State University

2015

Society of Physics Students, Illinois State University

2015

The Dietrich School of Arts and Sciences

2013

Department of Energy

2012

2012

Pittsburgh Particle physics, Astrophysics and Cosmology Center

2011

National Science Foundation

2009

Dept. of Physics, Stony Brook University

2006

National Science Foundation

2004

"Spatial Evolution of Quantum Mechanical States," N. Christensen, J. Unger, S. Pinto, Q. Su and R. Grobe, Annals of Physics 389 (2018) 239-249.

Su, Q., Grobe, R., & Christensen, N. *Spatial evolution of quantum mechanical states*. Ann. Phys. 389 (2018): 239.

“A First Step Towards Effectively Nonperturbative Scattering Amplitudes in the Perturbative Regime,” N. Christensen, J. Henderson, S. Pinto and C. Russ, Journal of Physics Communication, Volume 2, Number 7 (2018).

“Diagonalizing the Hamiltonian of λφ4 Theory in 2 Space-Time Dimensions”, Neil Christensen, Computer Physics Communication 222, 167-188 (2018).

“The Constructive Standard Model,” N. Christensen and B. Field, Physics Review D98 (2018) 016014.

“The Constructive SM,” N. Christensen, Phenomenology 2018 Symposium, University of Pittsburgh, Pittsburgh, PA, May 7, 2018.

“A New Approach to Scattering Amplitudes”, N. Christensen, Phenomenology 2017 Symposium, University of Pittsburgh, Pittsburgh, PA, May 9, 2017.

“Algebras in Particle Physics, Part II”, N. Christensen, Algebra Seminar, Department of Mathematics, Illinois State University, Normal, IL, October 5, 2017.

“Algebras in Particle Physics, Part I”, N. Christensen, Algebra Seminar, Department of Mathematics, Illinois State University, Normal, IL, April 6, 2017.

“S-Matrix without Fields, Part I”, N. Christensen, Algebra Seminar, Department of Mathematics, Illinois State University, Normal, IL, October 12, 2017.

“The S-Matrix without Fields,” N. Christensen, High Energy Physics Seminar, Department of Physics and Astronomy, Michigan State University, East Lansing, MI, February 15, 2017.

“Relativistic Quantum Mechanics and the Higgs Boson”, N. Christensen, Physics Seminar, Wichita State University, Wichita, KS, December 2, 2015.

2019-02-25T10:53:38.252-06:00
2019