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Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 9/2004, Volume 101, Issue 39, pp. 14240 - 14245
Journal Article
Canadian Journal of Mathematics, ISSN 0008-414X, 2018, Volume 70, Issue 6, pp. 1416 - 1435
Journal Article
2014, ISBN 9781781681244, xii, 384 pages
"The "yellow peril" is one of the most long-standing and pervasive racist ideas in Western culture--indeed, this book traces its history to the Enlightenment... 
Asian Americans in popular culture | Asian Americans | History | United States Race relations | Racism | Xenophobia
Book
Communications in Number Theory and Physics, ISSN 1931-4523, 2016, Volume 10, Issue 1, pp. 63 - 86
Journal Article
Journal of High Energy Physics, ISSN 1029-8479, 12/2019, Volume 2019, Issue 12, pp. 1 - 21
The CHY construction naturally associates a vector in ℝ(n−3)! to every 2- regular graph with n vertices. Partial amplitudes in the biadjoint scalar theory are... 
Lower bounds | Graphs | Graph theory | Compatibility | Apexes | Scattering Amplitudes | Field Theories in Higher Dimensions
Journal Article
Electronic Journal of Combinatorics, ISSN 1077-8926, 07/2017, Volume 24, Issue 3
Using cocommutativity of the Hopf algebra of symmetric functions, certain skew Schur functions are proved to be equal. Some of these skew Schur function... 
Hopf algebras | Skew Schur functions | MATHEMATICS | MATHEMATICS, APPLIED | POSETS | POSITIVITY | COALGEBRAS | EQUALITY
Journal Article
Memoirs of the American Mathematical Society, ISSN 0065-9266, 05/2011, Volume 211, Issue 995, pp. 1 - 92
Dyson-Schwinger equations are integral equations in quantum field theory that describe the Green functions of a theory and mirror the recursive decomposition... 
Feynman diagrams | Recursive equations | Dyson-Schwinger equations | MATHEMATICS | HOPF-ALGEBRAS | BETA-FUNCTION | recursive equations | QUANTUM-FIELD THEORY | RENORMALIZATION
Journal Article
Mathematical Physics Analysis and Geometry, ISSN 1385-0172, 06/2017, Volume 20, Issue 2, p. 1
We study field diffeomorphisms phi(x) -> F(phi(x)) = a(0)phi(x)+a(1)phi(2)(x)+ ... = Sigma(infinity)(j+0)a(j)phi(j+1), for free and interacting quantum fields... 
Bell polynomials | Diffeomorphisms of quantum fields | MATHEMATICS, APPLIED | IDENTITIES | PHYSICS, MATHEMATICAL | PARTIAL BELL POLYNOMIALS | RENORMALIZATION
Journal Article
Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, 2014, Volume 18, Issue 2, pp. 323 - 362
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 1/2011, Volume 301, Issue 2, pp. 357 - 382
We give combinatorial criteria for predicting the transcendental weight of Feynman integrals of certain graphs in $${\phi^4}$$ theory. By studying spanning... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | PHYSICS, MATHEMATICAL
Journal Article
2017, SpringerBriefs in Mathematical Physics, ISBN 9783319475516, Volume 15
This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s... 
String theory | Discrete mathematics | Quantum field theory | Physics | Mathematical physics
Web Resource
2017, SpringerBriefs in Mathematical Physics, ISBN 9783319475516, Volume 15
This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s... 
String theory | Discrete mathematics | Quantum field theory | Physics | Mathematical physics
Web Resource
Communications in Mathematical Physics, ISSN 0010-3616, 02/2020
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 2020
Green functions in a quantum field theory can be expanded as bivariate series in the coupling and a scale parameter. The leading logs are given by the main... 
Mathematical Physics | Mathematics | Combinatorics | Physics
Journal Article
11/2016, 1st ed. 2017, SpringerBriefs in Mathematical Physics
This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author's... 
Quantum field theory | Physics
eBook
ELECTRONIC JOURNAL OF COMBINATORICS, ISSN 1077-8926, 11/2019, Volume 26, Issue 4
We present a surprisingly new connection between two well-studied combinatorial classes: rooted connected chord diagrams on one hand, and rooted bridgeless... 
MATHEMATICS | MATHEMATICS, APPLIED | Combinatorics | Mathematics
Journal Article
Canadian Journal of Mathematics, ISSN 0008-414X, 12/2018, Volume 70, Issue 6, pp. 1416 - 1435
AbstractThec2invariant is an arithmetic graph invariant defined by Schnetz. It is useful for understanding Feynman periods. Brown and Schnetz conjectured that... 
Journal Article
Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, 2014, Volume 18, Issue 2, pp. 323 - 362
The c_2 invariant of a Feynman graph is an arithmetic invariant which detects many properties of the corresponding Feynman integral. In this paper, we define... 
Journal Article
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