Relevant bibliographies by topics / Lattice gauge theories, Spin chains

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters

Academic literature on the topic 'Lattice gauge theories, Spin chains'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Lattice gauge theories, Spin chains"

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Nam, Soonkeon. "Integrable Models, SUSY Gauge Theories and String Theory." International Journal of Modern Physics A 12, no. 06 (1997): 1243–51. http://dx.doi.org/10.1142/s0217751x97000979.

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We consider the close relation between duality in N = 2 SUSY gauge theories and integrable models. Various integrable models ranging from Toda lattices, Calogero models, spinning tops, and spin chains are related to the quantum moduli space of vacua of N = 2 SUSY gauge theories. In particular, SU(3) gauge theories with two flavors of massless quarks in the fundamental representation can be related to the spectral curve of Goryachev–Chaplygin top, which is a Nahm's equation in disguise. This can be generalized to the cases with massive quarks, and Nf = 0,1,2, where a system with seven dimension
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Kalkreuter, Thomas. "Projective block spin transformations in lattice gauge theories." Nuclear Physics B 376, no. 3 (1992): 637–60. http://dx.doi.org/10.1016/0550-3213(92)90122-r.

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FERREIRA, MIGUEL J. B., VICTOR A. PEREIRA та PAULO TEOTONIO-SOBRINHO. "QUASI-TOPOLOGICAL QUANTUM FIELD THEORIES AND ℤ2 LATTICE GAUGE THEORIES". International Journal of Modern Physics A 27, № 23 (2012): 1250132. http://dx.doi.org/10.1142/s0217751x12501321.

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We consider a two-parameter family of ℤ2 gauge theories on a lattice discretization [Formula: see text] of a three-manifold [Formula: see text] and its relation to topological field theories. Familiar models such as the spin-gauge model are curves on a parameter space Γ. We show that there is a region Γ0 ⊂ Γ where the partition function and the expectation value 〈WR(γ)〉 of the Wilson loop can be exactly computed. Depending on the point of Γ0, the model behaves as topological or quasi-topological. The partition function is, up to a scaling factor, a topological number of [Formula: see text]. Th
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Karakhanyan, D. R., and R. Kirschner. "High-energy Scattering in Gauge Theories and Integrable Spin Chains." Fortschritte der Physik 48, no. 1-3 (2000): 139–42. http://dx.doi.org/10.1002/(sici)1521-3978(20001)48:1/3<139::aid-prop139>3.0.co;2-s.

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ALFORD, MARK G., and JOHN MARCH-RUSSELL. "DISCRETE GAUGE THEORIES." International Journal of Modern Physics B 05, no. 16n17 (1991): 2641–73. http://dx.doi.org/10.1142/s021797929100105x.

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In this review we discuss the formulation and distinguishing characteristics of discrete gauge theories, and describe several important applications of the concept. For the abelian (ℤN) discrete gauge theories, we consider the construction of the discrete charge operator F(Σ*) and the associated gauge-invariant order parameter that distinguishes different Higgs phases of a spontaneously broken U(1) gauge theory. We sketch some of the important thermodynamic consequences of the resultant discrete quantum hair on black holes. We further show that, as a consequence of unbroken discrete gauge symm
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Lee, C. W. H., and S. G. Rajeev. "A Lie algebra for closed strings, spin chains, and gauge theories." Journal of Mathematical Physics 39, no. 10 (1998): 5199–230. http://dx.doi.org/10.1063/1.532566.

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SPILL, FABIAN. "YANGIANS IN INTEGRABLE FIELD THEORIES, SPIN CHAINS AND GAUGE-STRING DUALITIES." Reviews in Mathematical Physics 24, no. 01 (2012): 1230001. http://dx.doi.org/10.1142/s0129055x12300014.

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In the following paper, which is based on the author's PhD thesis submitted to Imperial College London, we explore the applicability of Yangian symmetry to various integrable models, in particular, in relation with S-matrices. One of the main themes in this work is that, after a careful study of the mathematics of the symmetry algebras one finds that in an integrable model, one can directly reconstruct S-matrices just from the algebra. It has been known for a long time that S-matrices in integrable models are fixed by symmetry. However, Lie algebra symmetry, the Yang–Baxter equation, crossing
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Campostrini, Massimo. "The spin-dependent forces between heavy quarks in lattice gauge theories." Nuclear Physics B 256 (January 1985): 717–26. http://dx.doi.org/10.1016/0550-3213(85)90417-1.

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POPPITZ, ERICH, and YANWEN SHANG. ""LIGHT FROM CHAOS" IN TWO DIMENSIONS." International Journal of Modern Physics A 23, no. 27n28 (2008): 4545–56. http://dx.doi.org/10.1142/s0217751x08041281.

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We perform a Monte Carlo study of the lattice two-dimensional gauged XY-model. Our results confirm the strong-coupling expansion arguments that for sufficiently small values of the spin–spin coupling the "gauge symmetry breaking" terms decouple and the long-distance physics is that of the unbroken pure gauge theory. We find no evidence for the existence, conjectured earlier, of massless states near a critical value of the spin–spin coupling. We comment on recent remarks in the literature on the use of gauged XY-models in proposed constructions of chiral lattice gauge theories.
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Dittrich, Bianca, Sebastian Mizera, and Sebastian Steinhaus. "Decorated tensor network renormalization for lattice gauge theories and spin foam models." New Journal of Physics 18, no. 5 (2016): 053009. http://dx.doi.org/10.1088/1367-2630/18/5/053009.

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Dissertations / Theses on the topic "Lattice gauge theories, Spin chains"

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Benassi, Costanza. "Su(3) lattice gauge theories and spin chains." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amslaurea.unibo.it/7171/.

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I modelli su reticolo con simmetrie SU(n) sono attualmente oggetto di studio sia dal punto di vista sperimentale, sia dal punto di vista teorico; particolare impulso alla ricerca in questo campo è stato dato dai recenti sviluppi in campo sperimentale per quanto riguarda la tecnica dell’intrappolamento di atomi ultrafreddi in un reticolo ottico. In questa tesi viene studiata, sia con tecniche analitiche sia con simulazioni numeriche, la generalizzazione del modello di Heisenberg su reticolo monodimensionale a simmetria SU(3). In particolare, viene proposto un mapping tra il modello di Heisenber
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Carrozza, Sylvain. "Tensorial methods and renormalization in Group Field Theories." Thesis, Paris 11, 2013. http://www.theses.fr/2013PA112147/document.

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Cette thèse présente une étude détaillée de la structure de théories appelées GFT ("Group Field Theory" en anglais),à travers le prisme de la renormalisation. Ce sont des théories des champs issues de divers travaux en gravité quantique, parmi lesquels la gravité quantique à boucles et les modèles de matrices ou de tenseurs. Elles sont interprétées comme desmodèles d'espaces-temps quantiques, dans le sens où elles génèrent des amplitudes de Feynman indexées par des triangulations,qui interpolent les états spatiaux de la gravité quantique à boucles. Afin d'établir ces modèles comme des théories
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Spill, Fabian. "Yangians in integrable field theories, spin chains and gauge-string dualities." Thesis, Imperial College London, 2010. http://hdl.handle.net/10044/1/6128.

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In the following dissertation, we explore the applicability of Yangian symmetry to various integrable models, in particular, in relation with S-matrices. One of the main themes in this dissertation is that, after a careful study of the mathematics of the symmetry algebras one finds that in an integrable model, one can directly reconstruct S-matrices just from the algebra. It has been known for a long time that S-matrices in integrable models are fixed by symmetry. However, Lie algebra symmetry, the Yang-Baxter equation, crossing and unitarity, which are what constrains the S-matrix in integrab
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Liu, Yuzhi. "Renormalization group and phase transitions in spin, gauge, and QCD like theories." Diss., University of Iowa, 2013. https://ir.uiowa.edu/etd/4872.

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In this thesis, we study several different renormalization group (RG) methods, including the conventional Wilson renormalization group, Monte Carlo renormalization group (MCRG), exact renormalization group (ERG, or sometimes called functional RG), and tensor renormalization group (TRG). We use the two dimensional nearest neighbor Ising model to introduce many conventional yet important concepts. We then generalize the model to Dyson's hierarchical model (HM), which has rich phase properties depending on the strength of the interaction
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Schweizer, Christian [Verfasser], та Immanuel [Akademischer Betreuer] Bloch. "Minimal instances for ℤ₂ lattice gauge theories and spin pumps / Christian Schweizer ; Betreuer: Immanuel Bloch". München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2019. http://d-nb.info/1196529140/34.

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Vernier, Eric. "Non compact conformal field theories in statistical mechanics." Thesis, Paris, Ecole normale supérieure, 2015. http://www.theses.fr/2015ENSU0005/document.

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Les comportements critiques des systèmes de mécanique statistique en 2 dimensions ou de mécanique quantique en 1+1 dimensions, ainsi que certains aspects des systèmes sans interactions en 2+1 dimensions, sont efficacement décrits par les méthodes de la théorie des champs conforme et de l'intégrabilité, dont le développement a été spectaculaire au cours des 40 dernières années. Plusieurs problèmes résistent cependant toujours à une compréhension exacte, parmi lesquels celui de la transition entre plateaux dans l'Effet Hall Quantique Entier. La raison principale en est que de tels problèmes sont
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Books on the topic "Lattice gauge theories, Spin chains"

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W, E. Heraeus Seminar (165th 1996 Bad Honnef Germany). Theory of spin lattices and lattice gauge models: Proceedings of the 165th WE-Heraeus-Seminar held at the Physikzentrum, Bad Honnef, Germany, 14-16 October 1996. Springer-Verlag, 1997.

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Theory of Spin Lattices and Lattice Gauge Models: Proceedings of the 165th We-Heraeus-Seminar Held at the Physikzentrum Bad Honnef, Germany, 14-16 October 1996 (Lecture Notes in Physics). Springer, 1997.

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Book chapters on the topic "Lattice gauge theories, Spin chains"

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"Majorana representation for spin S = 1/2 magnets: relationship to Z2 lattice gauge theories." In Quantum Field Theory in Condensed Matter Physics. Cambridge University Press, 2003. http://dx.doi.org/10.1017/cbo9780511615832.023.

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