Results 101 to 110 of about 115,374 (223)

Tubings, chord diagrams, and Dyson–Schwinger equations

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract We give series solutions to single insertion place propagator‐type systems of Dyson–Schwinger equations using binary tubings of rooted trees. These solutions are combinatorially transparent in the sense that each tubing has a straightforward contribution.
Paul‐Hermann Balduf, Amelia Cantwell, Kurusch Ebrahimi‐Fard, Lukas Nabergall, Nicholas Olson‐Harris, Karen Yeats   +5 more
wiley   +1 more source

Noncommutative Two Dimensional BF Model

, 2005
We consider the noncommutative extension of the BF theory in two spacetime dimensions. We show that the introduction of the noncommutative parameter \theta_{\mu\nu}, already at first order in the analytical sector, induces infinitely many terms in the ...
Alberto Blasi, Barnich, Becchi, Birmingham, Blaschke, Blasi, Blasi, Blasi, Blasi, Blau, Clark, Douglas, Groenewold, Lam, Lam, Lowenstein, Lowenstein, Maggiore, Michele Montobbio, Moyal, Nicola Maggiore, Piguet, Soroush, Szabo, Vassilevich, Wess, Wulkenhaar   +26 more
core   +2 more sources

Fuzzy Gravity: Four‐Dimensional Gravity on a Covariant Noncommutative Space and Unification with Internal Interactions

Fortschritte der Physik, Volume 72, Issue 9-10, October 2024.
Abstract In the present work, an extended description of the covariant noncommutative space is presented, which accommodates the Fuzzy Gravity model constructed previously. It is based on the historical lesson that the use of larger algebras containing all generators of the isometry of the continuous one helped in formulating a fuzzy covariant ...
Danai Roumelioti, Stelios Stefas, George Zoupanos   +2 more
wiley   +1 more source

Noncommutative Harmonic Analysis, Sampling Theory and the Duflo Map in 2+1 Quantum Gravity

, 2007
We show that the $\star$-product for $U(su_2)$, group Fourier transform and effective action arising in [1] in an effective theory for the integer spin Ponzano-Regge quantum gravity model are compatible with the noncommutative bicovariant differential ...
't Hooft G, Alekseev A Yu, Amelino-Camelia G, Beggs E J Majid S, Benedetto J J, Freidel L, Freidel L Livine E R, Girelli F Livine E, Laurent Freidel, Majid S, Majid S, Ponzano G, Schroers B J, Shahn Majid   +13 more
core   +1 more source

Gravastar Model in Krori–Barua Metric Under f(Q)$f(\mathcal {Q})$ Gravity

Fortschritte der Physik, Volume 72, Issue 7-8, August 2024.
Abstract In this paper, the characteristics of a gravastar in f(Q)$f(\mathcal {Q})$ gravity, which is upheld by Krori–Barua (KB) metric are explored. The authors have used KB metric for the interior and shell regions of the gravastar. The field equations are deduced by using KB metric.
Debasmita Mohanty, Pradyumn K. Sahoo
wiley   +1 more source

Unified invariant of knots from homological braid action on Verma modules

Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.
Abstract We re‐build the quantum sl(2)${\mathfrak {sl}(2)}$ unified invariant of knots F∞$F_{\infty }$ from braid groups' action on tensors of Verma modules. It is a two variables series having the particularity of interpolating both families of colored Jones polynomials and ADO polynomials, that is, semisimple and non‐semisimple invariants of knots ...
Jules Martel, Sonny Willetts
wiley   +1 more source

Scalar and vector gauges unification in de Sitter ambient space formalism

Nuclear Physics B, 2022
We consider the massless minimally coupled scalar field in the de Sitter ambient space formalism as a gauge potential or connection field. We construct the scalar gauge theory by helping an arbitrary constant five-vector field Bα analogous to the ...
M.V. Takook
doaj  

Rational Cuntz states peak on the free disk algebra

Bulletin of the London Mathematical Society, Volume 56, Issue 4, Page 1550-1569, April 2024.
Abstract We apply realization theory of noncommutative (NC) rational multipliers of the Fock space, or free Hardy space of square–summable power series in several noncommuting variables to the convex analysis of states on the Cuntz algebra. We show, in particular, that a large class of Cuntz states that arise as the “NC Clark measures” of isometric NC ...
Robert T. W. Martin, Eli Shamovich
wiley   +1 more source

Locality, Causality and Noncommutative Geometry

, 2005
We analyse the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry.
Aharony O., Alvarez-Gaume L., CHONG-SUN CHU, KO FURUTA, Landsteiner K., Matusis A., Minwalla S., Seiberg N., TAKEO INAMI   +8 more
core   +2 more sources

Image processing using the quantum quaternion Fourier transform

Mathematical Methods in the Applied Sciences, Volume 47, Issue 3, Page 1305-1317, February 2024.
There is a growing interest in quantum image processing (QIP) that rose from the desire to exploit the properties of quantum computing to improve the performance of classical techniques and their applications. Since the introduction of a quaternion by Hamilton in 1843, quaternions had been used in a lot of applications.
Eduardo Bayro‐Corrachono, Zuleima Vazquez‐Flores   +1 more
wiley   +1 more source