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Littérature scientifique sur le sujet « Chern-Simon »

Auteur : Grafiati

Publié le 9 mars 2023

Mis à jour le 10 mars 2023

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Articles de revues sur le sujet "Chern-Simon"

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SMOLIN, LEE. « INVARIANTS OF LINKS AND CRITICAL POINTS OF THE CHERN-SIMON PATH INTEGRALS ». Modern Physics Letters A 04, n^o 12 (20 juin 1989) : 1091–112. http://dx.doi.org/10.1142/s0217732389001271.

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A method is given for evaluating the functional integrals of Chern-Simon field theories to first nontrivial order. The basis of this method is a background independent regularization which allows the factors associated with twists of the framing of loops to be computed. To first order, Witten’s result connecting the Jones polynomial to expectation values of the Chern-Simon theory is reproduced. Additionally, a method for constructing solutions to the classical field equations of the theory is described, and it is shown that a static solution to Einstein’s equations (in Ashtekar’s form) may be associated with every such solution.

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DESER, S., et Z. YANG. « A REMARK ON THE HIGGS EFFECT IN PRESENCE OF CHERN-SIMONS TERMS ». Modern Physics Letters A 04, n^o 22 (30 octobre 1989) : 2123–24. http://dx.doi.org/10.1142/s0217732389002380.

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HSIEH, CHUN-CHUNG. « COMBINATORIC AND DIAGRAMMATIC STUDY IN KNOT THEORY ». Journal of Knot Theory and Its Ramifications 16, n^o 09 (novembre 2007) : 1235–53. http://dx.doi.org/10.1142/s0218216507005786.

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Motivated by Massey–Milnor linking and Chern–Simon–Witten perturbative quantum field theory, we developed some combinatorial and diagrammatic study in this paper, aiming at knot theory in the combinatoric aspect.

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ANEZIRIS, C., A. P. BALACHANDRAN, L. KAUFFMAN et A. M. SRIVASTAVA. « NOVEL STATISTICS FOR STRINGS AND STRING “CHERN-SIMON” TERMS ». International Journal of Modern Physics A 06, n^o 14 (10 juin 1991) : 2519–58. http://dx.doi.org/10.1142/s0217751x91001210.

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We study the statistics of identical strings in R3. Novel possibilities for string statistics are shown to exist at least in the absence of physical inputs such as the possibility of string pair creation. There are for instance strings which do not obey Bose, Fermi or parastatistics. There are also strings which violate the standard spin-statistics relation. The Abelian Chern-Simons Lagrangian which leads to anyons is generalized to strings. It leads to exotic phase changes of wave functions when strings are moved in homotopically nontrivial loops in the N-string configuration space. Non-Abelian generalizations of this Abelian string Lagrangian are also proposed.

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Amir, M. Jamil, et Sarfraz Ali. « Spherical Symmetric Gravitational Collapse in Chern-Simon Modified Gravity ». International Journal of Theoretical Physics 55, n^o 4 (7 novembre 2015) : 2040–52. http://dx.doi.org/10.1007/s10773-015-2844-3.

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NAKANISHI, N. « ASYMPTOTIC COMPLETENESS AND THE THREE-DIMENSIONAL GAUGE THEORY HAVING THE CHERN-SIMON TERM ». International Journal of Modern Physics A 04, n^o 05 (mars 1989) : 1055–64. http://dx.doi.org/10.1142/s0217751x89000480.

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The three-dimensional Abelian gauge theory having the Chern-Simon term is studied. When matter current is absent, the gauge field in covariant gauge is explicitly expressed in terms of asymptotic fields. It is shown that the mechanism of mass generation can be understood as a kind of the Higgs mechanism.

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Naschie, Mohamed S. El. « From Chern-Simon, Holography and Scale Relativity to Dark Energy ». Journal of Applied Mathematics and Physics 02, n^o 07 (2014) : 634–38. http://dx.doi.org/10.4236/jamp.2014.27069.

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Helayël-Neto, J. A., Alireza Sepehri et Tooraj Ghaffary. « The Origin of Chern-Simons Modified Gravity from an 11 + 3-Dimensional Manifold ». Advances in High Energy Physics 2017 (2017) : 1–13. http://dx.doi.org/10.1155/2017/6021419.

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It is our aim to show that the Chern-Simons terms of modified gravity can be understood as generated by the addition of a 3-dimensional algebraic manifold to an initial 11-dimensional space-time manifold; this builds up an 11+3-dimensional space-time. In this system, firstly, some fields living in the bulk join the fields that live on the 11-dimensional manifold, so that the rank of the gauge fields exceeds the dimension of the algebra; consequently, there emerges an anomaly. To solve this problem, another 11-dimensional manifold is included in the 11+3-dimensional space-time, and it interacts with the initial manifold by exchanging Chern-Simon fields. This mechanism is able to remove the anomaly. Chern-Simons terms actually produce an extra manifold in the pair of 11-dimensional manifolds of the 11+3-space-time. Summing up the topology of both the 11-dimensional manifolds and the topology of the exchanged Chern-Simons manifold in the bulk, we conclude that the total topology shrinks to one, which is in agreement with the main idea of the Big Bang theory.

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PAL, SHESANSU SEKHAR. « DERIVATIVE CORRECTIONS TO DIRAC–BORN–INFELD AND CHERN–SIMON ACTIONS FROM NONCOMMUTATIVITY ». International Journal of Modern Physics A 17, n^o 09 (10 avril 2002) : 1253–71. http://dx.doi.org/10.1142/s0217751x0200993x.

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We show that the higher-order derivative α′ corrections to the Dirac–Born–Infeld (DBI) and Chern–Simon actions is derived from noncommutativity in the Seiberg–Witten limit, and is shown to agree with Wyllard's (hep-th/0008125) result, as conjectured by Das et al., (hep-th/0106024). In calculating the corrections, we have expressed [Formula: see text] in terms of F, Â in terms of A up to order [Formula: see text], and made use of it.

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Amir, M. Jamil, et Sarfraz Ali. « Ricci Dark Energy of Amended FRW Universe in Chern-Simon Modified Gravity ». International Journal of Theoretical Physics 54, n^o 4 (24 septembre 2014) : 1362–69. http://dx.doi.org/10.1007/s10773-014-2334-z.

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Thèses sur le sujet "Chern-Simon"

1

Weiß, Simon [Verfasser], et Mike [Akademischer Betreuer] Scherfner. « Beiträge zum Beweis der Chern-Vermutung über isoparametrische Hyperflächen in Sphären / Simon Weiß. Betreuer : Mike Scherfner ». Berlin : Universitätsbibliothek der Technischen Universität Berlin, 2012. http://d-nb.info/1022885820/34.

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Quinto, Andrés Arturo Gómez. « Funções do grupo de renormalização em uma teoria supersimétrica de Chern-Simons ». reponame:Repositório Institucional da UFABC, 2012.

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3

GORINI, NICOLA. « Aspects of Quantum Field Theories in Three Dimensions ». Doctoral thesis, Università degli Studi di Milano-Bicocca, 2022. http://hdl.handle.net/10281/364292.

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In questa tesi costruiamo il settore topologico unidimensionale della teoria ABJ(M) e studiamo la sua relazione con la funzione di partizione, deformata da parametri di massa, definita sulla sfera tridimensionale. La tecnica di localizzazione supersimmetrica consente di rappresentare tale funzione di partizione come un integrale finito-dimensionale (o integrale matriciale). E\' stata proposta una congettura secondo cui le funzioni di correlazione di operatori topologici possono essere ottenute prendendo certe derivate della funzione di partizione rispetto ai parametri di massa. In questa tesi presentiamo un'evidenza non banale della correttezza della congettura, calcolando le funzioni a tre e quattro punti ad un loop e la funzione a due punti a due loop, ritrovando correttamente i risultati ottenuti prendendo le derivate dell'integrale matriciale deformato una volta espanso in regime di accoppiamento debole. In aggiunta, otteniamo l'espressione della carica centrale della teoria a due loop, generalizzando i risultati noti in letteratura. In seguito ci focalizziamo sullo studio delle fasi infrarosse di teorie tridimensionali di Chern-Simons quiver, ovvero il cui gruppo di gauge è composto da due fattori non Abeliani. Discutiamo in dettaglio i casi in cui i livelli di Chern-Simons sono uguali e il caso in cui sono opposti, proponendo alcune dualità riguardanti sia coppie di teorie quiver che teorie quiver con la versione supersimmetrica della QCD tridimensionale.
In this thesis we construct the one-dimensional topological sector of $\mathcal N = 6$ ABJ(M) theory and study its relation with the mass-deformed partition function on $\mathbb S^3$. Supersymmetric localization provides an exact representation of this partition function as a matrix integral and it has been proposed that correlation functions of certain topological operators are computed through derivatives with respect to the masses. We present non-trivial evidence for this relation by computing the three- and four- point function up to one loop and the two-point function at two loops, successfully matching the matrix model expansion at weak coupling and finite ranks. As a by-product, we obtain the two-loop explicit expression for the central charge $c_T$ of ABJ(M) theory. When then shift our attention to the study of the infrared phases of two-node quiver Chern-Simons theories with minimal supersymmetry in three dimensions. We discuss both the cases of Chern-Simons levels with the same and with opposite signs, where the latter case turn out to be more non-trivial. The determination of their phase diagrams allows us to conjecture certain infrared dualities involving either two quiver theories, or a quiver and adjoint QCD$_3$.

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