Results 31 to 40 of about 8,246 (157)

Nondecoupling phenomena in QED in a magnetic field and noncommutative QED

, 2005
The dynamics in QED in a strong constant magnetic field and its connection with the noncommutative QED are studied. It is shown that in the regime with the lowest Landau level (LLL) dominance the U(1) gauge symmetry in the fermion determinant is ...
Chodos, Douglas, Dunne, E.V. Gorbar, Gorbar, Gradshtein, Gusynin, Gusynin, Gusynin, Gusynin, Heisenberg, Michio Hashimoto, Minwalla, Passarino, Schwinger, Szabo, V.A. Miransky, Weisskopf, Wen   +18 more
core   +1 more source

Determinants of block matrices with noncommuting blocks

Linear Algebra and its Applications, 2017
15 pages, no ...
openaire   +2 more sources

Colour Algebras over Rings

Axioms
Colour algebras are noncommutative Jordan algebras and closely related to octonion algebras. They initially emerged in physics since the multiplication of a colour algebra over the real or complex numbers describes the colour symmetry of the Gell–Mann ...
Susanne Pumplün
doaj   +1 more source

Cosmological Constant and Noncommutative Spacetime

, 2005
We show that the cosmological constant appears as a Lagrange multiplier if nature is described by a canonical noncommutative spacetime. It is thus an arbitrary parameter unrelated to the action and thus to vacuum fluctuations.
Einstein A., Einstein A., Padmanabhan T., Sorkin R. D., X Calmet   +4 more
core   +2 more sources

Second Order Noncommutative Corrections to Gravity [PDF]

, 2006
In this work, we calculate the leading order corrections to general relativity formulated on a canonical noncommutative spacetime. These corrections appear in the second order of the expansion in theta.
A. Einstein, Archil Kobakhidze, Xavier Calmet   +2 more
core   +4 more sources

A classification of Prüfer domains of integer‐valued polynomials on algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley   +1 more source

On Noncommutative Multi-solitons

, 2002
We find the moduli space of multi-solitons in noncommutative scalar field theories at large theta, in arbitrary dimension. The existence of a non-trivial moduli space at leading order in 1/theta is a consequence of a Bogomolnyi bound obeyed by the ...
Gopakumar, Rajesh, Headrick, Matthew, Spradlin, Marcus   +2 more
core   +1 more source

Noncommutative polygonal cluster algebras

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg, Dani Kaufman, Merik Niemeyer, Anna Wienhard   +3 more
wiley   +1 more source

Solitons on Noncommutative Torus as Elliptic Calogero Gaudin Models, Branes and Laughlin Wave Functions [PDF]

, 2002
For the noncommutative torus ${\cal T}$, in case of the N.C. parameter $\theta = \frac{Z}{n}$, we construct the basis of Hilbert space ${\ca$H}_n$ in terms of $\theta$ functions of the positions $z_i$ of $n$ solitons.
Ambjorn J., Bernevig B. A., BO-YU HOU, Connes A., DAN-TAO PENG, Etingof P. I., Felder G., Gopakumar R., Gorsky A., Hanany A., Harvey J. A., Hellerman S., Hurtubise J. C., Kajiura H., KANG-JIE SHI, Morariu B., Mumford D., Polychronakos A. P., RUI-HONG YUE, Seiberg N., Zak J.   +20 more
core   +3 more sources

Trading Determinism for Noncommutativity in Edmonds' Problem

2024 IEEE 65th Annual Symposium on Foundations of Computer Science (FOCS)
Let $X=X_1\sqcup X_2\sqcup\ldots\sqcup X_k$ be a partitioned set of variables such that the variables in each part $X_i$ are noncommuting but for any $i\neq j$, the variables $x\in X_i$ commute with the variables $x'\in X_j$. Given as input a square matrix $T$ whose entries are linear forms over $\mathbb{Q}\langle{X}\rangle$, we consider the problem of
Arvind, V., Chatterjee, Abhranil, Mukhopadhyay, Partha   +2 more
openaire   +2 more sources