Results 81 to 90 of about 84,094 (237)
Higher dimensional quantum Hall effect as A-class topological insulator
Nuclear Physics B, 2014 We perform a detail study of higher dimensional quantum Hall effects and A-class topological insulators with emphasis on their relations to non-commutative geometry.
Kazuki Hasebe
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Approximate treatment of noncommutative curvature in quartic matrix model
Journal of High Energy Physics, 2023 We study a Hermitian matrix model with the standard quartic potential amended by a tr(RΦ2) term for fixed external matrix R. This is motivated by a curvature term in the truncated Heisenberg algebra formulation of the Grosse-Wulkenhaar model — a ...
D. Prekrat +4 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
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Seniority‐Zero Quadratic Canonical Transformation Theory
International Journal of Quantum Chemistry, Volume 126, Issue 12, June 15, 2026.We construct a unitary transformation of electronic Hamiltonians using quadratic canonical transformation theory, choosing the transformation to minimize the non‐seniority‐zero elements of the transformed Hamiltonian. This allows us to add dynamic correlation to the static correlation inherent in orbital‐optimized doubly‐occupied (seniority‐zero ...
Daniel F. Calero‐Osorio, Paul W. Ayers
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Non-Commutative Resistance Networks? [PDF]
, 2014 . In the setting of finite-dimensional C∗-algebras A we define what we call a Rie-mannian metric for A, which when A is commutative is very closely related to a finite resistance network. We explore the relationship with Dirichlet forms and corresponding
Marc A. Rieffel, Rieffel, M.A.
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Non-commutative differential geometry [PDF]
Publications Mathématiques de l'IHÉS, 1985 In this article, Connes lays the groundwork for a theory of noncommutative differential geometry, i.e. differential geometry for noncommutative algebras generalizing the commutative algebra \({\mathcal C}^{\infty}(M)\) of smooth functions on a compact manifold. The idea of doing topology of noncommutative ''topological spaces'', i.e. \(C^*\)- algebras,
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Multi‐Mode Deep Strong Coupling in a Multi Quantum Well Fabry–Perot Cavity
Advanced Optical Materials, Volume 14, Issue 21, 5 June 2026.Multi‐mode deep‐strong coupling is demonstrated in a 166‐well heterostructure that acts as a Fabry–Perot cavity. Even cavity modes couple strongly to the cyclotron resonance, producing large vacuum Rabi splittings and a rich polaritonic spectrum captured by a full Hopfield model.
Lucy Hale +6 more
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Symplectic groupoids and Poisson electrodynamics
Journal of High Energy PhysicsWe develop a geometric approach to Poisson electrodynamics, that is, the semi-classical limit of noncommutative U(1) gauge theory. Our framework is based on an integrating symplectic groupoid for the underlying Poisson brackets, which we interpret as the
Vladislav G. Kupriyanov +2 more
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On the Meaning of Localization in Non‐Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 6, June 2026.In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
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