FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W137629079> ?p ?o ?g. }

• W137629079 abstract "In this thesis, we present our work about some generalisations of ideas, techniques and physical interpretations typical for integrable models to one of themost outstanding advances in theoretical physics of nowadays: the AdS/CFT correspondences.We have undertaken the problem of testing this conjectured duality under various points of view, but with a clear starting point - the integrability - and with a clearambitious task in mind: to study the finite-size effects in the energy spectrum of certain string solutions on a side and in the anomalous dimensions of the gaugetheory on the other. Of course, the final desire woul be the exact comparison between these two faces of the gauge/string duality.In few words, the original part of this work consists in application of well known integrability technologies, in large parte borrowed by the study of relativistic(1+1)-dimensional integrable quantum field theories, to the highly non-relativisic and much complicated case of the thoeries involved in the recent conjectures of AdS5/CFT4 and AdS4/CFT3 corrspondences.In details, exploiting the spin chain nature of the dilatation operator of N = 4 Super-Yang-Mills theory, we concentrated our attention on one of the mostimportant sector, namely the SL(2) sector - which is also very intersting for the QCD understanding - by formulating a new type of nonlinear integral equation (NLIE) based on a previously guessed asymptotic Bethe Ansatz. The solutionsof this Bethe Ansatz are characterised by the length L of the correspondent spin chain and by the number s of its excitations. A NLIE allows one, at least in principle, to make analytical and numerical calculations for arbitrary values of these parameters. The results have been rather exciting. In the important regime of high Lorentz spin, the NLIE clarifies how it reduces to a linear integralequations which governs the subleading order in s, o(s0). This also holds in the regime with L ! 1, L/ ln s finite (long operators case). This region of parameters has been particularly investigated in literature especially because of an intriguing limit into the O(6) sigma model defined on the string side.One of the most powerful methods to keep under control the finite-size spectrum of an integrable relativistic theory is the so called thermodynamic Bethe Ansatz (TBA). We proposed a highly non-trivial generalisation of this technique to the non-relativistic case of AdS5/CFT4 and made the first steps in order to determineits full spectrum - of energies for the AdS side, of anomalous dimensions for the CFT one - at any values of the coupling constant and of the size.At the leading order in the size parameter, the calculation of the finite-size corrections is much simpler and does not necessitate the TBA. It consists in derivingfor a nonrelativistc case a method, invented for the first time by L¨uscher to compute the finite-size effects on the mass spectrum of relativisic theories. So, wehave formulated a new version of this approach to adapt it to the case of recently found classical string solutions on AdS4 × CP3, inside the new conjecture of anAdS4/CFT3 correspondence. Our results in part confirm the string and algebraic curve calculations, in part are completely new and then could be better understoodby the rapidly evolving developments of this extremely exciting research field." @default.
• W137629079 created "2016-06-24" @default.
• W137629079 creator A5065226729 @default.
• W137629079 date "2009-04-28" @default.
• W137629079 modified "2023-09-24" @default.
• W137629079 title "Aspects of Integrability in Gauge/String Correspondence" @default.
• W137629079 hasPublicationYear "2009" @default.
• W137629079 type Work @default.
• W137629079 sameAs 137629079 @default.
• W137629079 citedByCount "0" @default.
• W137629079 crossrefType "dissertation" @default.
• W137629079 hasAuthorship W137629079A5065226729 @default.
• W137629079 hasConcept C104317684 @default.
• W137629079 hasConcept C117137515 @default.
• W137629079 hasConcept C121332964 @default.
• W137629079 hasConcept C157486923 @default.
• W137629079 hasConcept C158448853 @default.
• W137629079 hasConcept C166957645 @default.
• W137629079 hasConcept C17020691 @default.
• W137629079 hasConcept C181830111 @default.
• W137629079 hasConcept C185592680 @default.
• W137629079 hasConcept C200741047 @default.
• W137629079 hasConcept C202444582 @default.
• W137629079 hasConcept C2778023678 @default.
• W137629079 hasConcept C33332235 @default.
• W137629079 hasConcept C33923547 @default.
• W137629079 hasConcept C37914503 @default.
• W137629079 hasConcept C40976572 @default.
• W137629079 hasConcept C42704618 @default.
• W137629079 hasConcept C49987212 @default.
• W137629079 hasConcept C55493867 @default.
• W137629079 hasConcept C62520636 @default.
• W137629079 hasConcept C77843276 @default.
• W137629079 hasConcept C86339819 @default.
• W137629079 hasConcept C95457728 @default.
• W137629079 hasConcept C97355855 @default.
• W137629079 hasConceptScore W137629079C104317684 @default.
• W137629079 hasConceptScore W137629079C117137515 @default.
• W137629079 hasConceptScore W137629079C121332964 @default.
• W137629079 hasConceptScore W137629079C157486923 @default.
• W137629079 hasConceptScore W137629079C158448853 @default.
• W137629079 hasConceptScore W137629079C166957645 @default.
• W137629079 hasConceptScore W137629079C17020691 @default.
• W137629079 hasConceptScore W137629079C181830111 @default.
• W137629079 hasConceptScore W137629079C185592680 @default.
• W137629079 hasConceptScore W137629079C200741047 @default.
• W137629079 hasConceptScore W137629079C202444582 @default.
• W137629079 hasConceptScore W137629079C2778023678 @default.
• W137629079 hasConceptScore W137629079C33332235 @default.
• W137629079 hasConceptScore W137629079C33923547 @default.
• W137629079 hasConceptScore W137629079C37914503 @default.
• W137629079 hasConceptScore W137629079C40976572 @default.
• W137629079 hasConceptScore W137629079C42704618 @default.
• W137629079 hasConceptScore W137629079C49987212 @default.
• W137629079 hasConceptScore W137629079C55493867 @default.
• W137629079 hasConceptScore W137629079C62520636 @default.
• W137629079 hasConceptScore W137629079C77843276 @default.
• W137629079 hasConceptScore W137629079C86339819 @default.
• W137629079 hasConceptScore W137629079C95457728 @default.
• W137629079 hasConceptScore W137629079C97355855 @default.
• W137629079 hasLocation W1376290791 @default.
• W137629079 hasOpenAccess W137629079 @default.
• W137629079 hasPrimaryLocation W1376290791 @default.
• W137629079 hasRelatedWork W123418605 @default.
• W137629079 hasRelatedWork W152694835 @default.
• W137629079 hasRelatedWork W1623742401 @default.
• W137629079 hasRelatedWork W1785607833 @default.
• W137629079 hasRelatedWork W2000342362 @default.
• W137629079 hasRelatedWork W2039106995 @default.
• W137629079 hasRelatedWork W2065771587 @default.
• W137629079 hasRelatedWork W2073148670 @default.
• W137629079 hasRelatedWork W2083246980 @default.
• W137629079 hasRelatedWork W2148706298 @default.
• W137629079 hasRelatedWork W2494236741 @default.
• W137629079 hasRelatedWork W2496987389 @default.
• W137629079 hasRelatedWork W2504877313 @default.
• W137629079 hasRelatedWork W2606732063 @default.
• W137629079 hasRelatedWork W3008361766 @default.
• W137629079 hasRelatedWork W3101765018 @default.
• W137629079 hasRelatedWork W3103449896 @default.
• W137629079 hasRelatedWork W3106232483 @default.
• W137629079 hasRelatedWork W793555559 @default.
• W137629079 hasRelatedWork W3193318335 @default.
• W137629079 isParatext "false" @default.
• W137629079 isRetracted "false" @default.
• W137629079 magId "137629079" @default.
• W137629079 workType "dissertation" @default.