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Dissertations / Theses on the topic 'Weyle invariance'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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1

Pagani, Carlo. "Applications of the functional renormalization group in curved spacetime." Doctoral thesis, SISSA, 2014. http://hdl.handle.net/20.500.11767/3882.

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Quantum field theory is the underlying framework of most of our progress in modern particle physics and has been succesfully applied also to statistical mechanics and cosmology. A basic concept of quantum field theory is the renormalization group which describes how physics changes according to the energy at which we probe the system. The functional renormalization group (fRG) for the effective average action (EAA) describes the Wilsonian integration of high momentum modes without expanding in any small parameter. As such this is a non-perturbative framework and can be used to obtain non-pertu

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2

Bonezzi, Roberto <1983&gt. "Complex higher spins, Weyl invariance and tractors." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2011. http://amsdottorato.unibo.it/3546/1/bonezzi_roberto_tesi.pdf.

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In this thesis work I analyze higher spin field theories from a first quantized perspective, finding in particular new equations describing complex higher spin fields on Kaehler manifolds. They are studied by means of worldline path integrals and canonical quantization, in the framework of supersymmetric spinning particle theories, in order to investigate their quantum properties both in flat and curved backgrounds. For instance, by quantizing a spinning particle with one complex extended supersymmetry, I describe quantum massless (p,0)-forms and find a worldline representation for their effec

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3

Bonezzi, Roberto <1983&gt. "Complex higher spins, Weyl invariance and tractors." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2011. http://amsdottorato.unibo.it/3546/.

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In this thesis work I analyze higher spin field theories from a first quantized perspective, finding in particular new equations describing complex higher spin fields on Kaehler manifolds. They are studied by means of worldline path integrals and canonical quantization, in the framework of supersymmetric spinning particle theories, in order to investigate their quantum properties both in flat and curved backgrounds. For instance, by quantizing a spinning particle with one complex extended supersymmetry, I describe quantum massless (p,0)-forms and find a worldline representation for their effec

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4

Wang, Haowu. "Reflective modular forms and Weyl invariant E8 Jacobi modular forms." Thesis, Lille 1, 2019. http://www.theses.fr/2019LIL1I028/document.

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Cette thèse comprend deux parties indépendantes. Dans la première partie, nous développons une approche fondée sur la théorie des formes de Jacobi dont l'indice est un réseau pour classifier les formes modulaires réflexives sur des réseaux de niveau arbitraire. Les formes modulaires réflexives ont des applications en géométrie algébrique, en algèbre de Lie et en arithmétique. La classification des formes modulaires réflexives est un problème ouvert et a été étudiée par Borcherds, Gritsenko, Nikulin, Scheithauer et Ma depuis 1998. Dans cette partie, nous établissons de nouvelles conditions néce

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5

Davies, Ian James. "A large-D Weyl invariant string model in Anti-de Sitter space." Thesis, Durham University, 2002. http://etheses.dur.ac.uk/3838/.

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In this thesis we present a novel scheme for calculating the bosonic string partition function on certain curved backgrounds related to Anti-de Sitter [AdS] space. We take the concept of a large expansion from nonlinear sigma models in particle physics and apply it to the bosonic string theory sigma model, where the analogous large dimensionless parameter is the dimension of the target space, D. We then perform a perturbative expansion in negative powers of D, rather than in positive powers of α/ι(^2)(the conventional expansion parameter).As a specific example of a curved geometry of interest,

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6

Eckes, Christophe. "Groupes, invariants et géométries dans l'œuvre de Weyl : Une étude des écrits de Hermann Weyl en mathématiques, physique mathématique et philosophie, 1910-1931." Thesis, Lyon 3, 2011. http://www.theses.fr/2011LYO30069/document.

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Nous entendons confronter pratique des mathématiques et réflexions sur les mathématiques dans l'œuvre de Weyl. Nous étudierons : (a) ses monographies en analyse complexe, en relativité générale et en mécanique quantique, (b) les articles en lien avec ces ouvrages, (c) certains de ses cours, (d) sa correspondance avec divers scientifiques, principalement A. Einstein, E. Cartan, J. von Neumann. Nous voulons savoir si les théories mathématiques qu'il investit conditionnent ses positions sur les fondements des mathématiques. Inversement, nous montrerons que les philosophies auxquelles il se réfère

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7

Hill, David Edward. "The Jantzen-Shapovalov form and Cartan invariants of symmetric groups and Hecke algebras /." view abstract or download file of text, 2007. http://proquest.umi.com/pqdweb?did=1400959351&sid=1&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2007.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 107-108). Also available for download via the World Wide Web; free to University of Oregon users.

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8

Broccoli, Matteo. "On the trace anomaly of a Weyl fermion in a gauge background." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16408/.

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In this thesis we study the trace anomaly of a Weyl fermion in an abelian gauge background. We first introduce the topic of anomaly in Quantum Fields Theory and provide case studies of a global and a gauge anomaly. Then, we review the lagrangians of the Weyl fermion and Dirac fermion, the models that are the focus of our chiral and trace anomaly computations. Since we evaluate the anomalies using Pauli-Villars (PV) regularization, we present different PV masses and discuss the classical symmetries they break. We identify the differential operators that enter our regularization schemes and we

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9

Reho, Riccardo. "A higher derivative fermion model." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/19852/.

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Nel presente elaborato studiamo un modello fermionico libero ed invariante di scala con derivate di ordine elevato. In particolare, controlliamo che la simmetria di scala sia estendibile all'intero gruppo conforme. Essendoci derivate di ordine più alto il modello non è unitario, ma costituisce un nuovo esempio di teoria conforme libera. Nelle prime sezioni riguardiamo la teoria generale del bosone libero, partendo dapprima con modelli semplici con derivate di ordine basso, per poi estenderci a dimensioni arbitrarie e derivate più alte. In questo modo illustriamo la tecnica che ci permett

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10

Hezard, David. "Sur le support unipotent des faisceaux-caractères." Phd thesis, Université Claude Bernard - Lyon I, 2004. http://tel.archives-ouvertes.fr/tel-00012071.

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Soit G un groupe algébrique réductif connexe de centre connexe défini sur un corps fini de caractéristique p>0. On munit cette structure d'un endomorphisme de Frobenius F et l'on note G^F l'ensemble des points de G fixes pour l'action de F : G^F est un groupe fini. On suppose que la caractéristique p est bonne pour G.<br /><br />On définit alors une application Phi_G de l'ensemble des classes de conjugaison spéciales de G^* dans l'ensemble des classes unipotentes de G. Cette application décrit le support unipotent des différentes classes de faisceaux-caractères définis sur G.<br /><br />Parall

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11

Körber, Martin Julius. "Phase-Space Localization of Chaotic Resonance States due to Partial Transport Barriers." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-218817.

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Classical partial transport barriers govern both classical and quantum dynamics of generic Hamiltonian systems. Chaotic eigenstates of quantum systems are known to localize on either side of a partial barrier if the flux connecting the two sides is not resolved by means of Heisenberg's uncertainty. Surprisingly, in open systems, in which orbits can escape, chaotic resonance states exhibit such a localization even if the flux across the partial barrier is quantum mechanically resolved. We explain this using the concept of conditionally invariant measures by introducing a new quantum mechanicall

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12

Ekahana, Sandy Adhitia. "Investigation of topological nodal semimetals through angle-resolved photoemission spectroscopy." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:afed6156-7aa2-4ba9-afd1-af53d775494f.

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Nodal semimetals host either degenerate points (Dirac/Weyl points) or lines whose band topology in Brillouin zone can be classified either as trivial (normal nodal semimetals) or non trivial (topological nodal semimetals). This thesis investigates the electronic structure of two different categories of topological nodal semimetals probed by angleresolved photoemission spectroscopy (ARPES): The first material is Indium Bismuth (InBi). InBi is a semimetal with simple tetragonal structure with P4/nmm space group. This space group is predicted to host protected nodal lines along the perpendicular

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13

D'Odorico, Giulio. "Applications of the Functional Renormalization Group: From Statistical Models to Quantum Gravity." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4815.

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The present dissertation is essentially a collection of three investigations, in the context of the functional Renormalization Group. First, we will apply it to scalar models with internal O(N) symmetry, to study their universality classes and how the Mermin-Wagner theorem is seen in the RG framework. Next, we will use it to study Weyl-invariant systems, and in particular to obtain a nonperturbative proof that a quantization procedure respecting Weyl invariance is always possible, regardless of the field content of the theory. Finally, to investigate the corrections to the gravitational beta

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14

Lau, Alexander. "Symmetry-enriched topological states of matter in insulators and semimetals." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2018. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-233930.

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Topological states of matter are a novel family of phases that elude the conventional Landau paradigm of phase transitions. Topological phases are characterized by global topological invariants which are typically reflected in the quantization of physical observables. Moreover, their characteristic bulk-boundary correspondence often gives rise to robust surface modes with exceptional features, such as dissipationless charge transport or non-Abelian statistics. In this way, the study of topological states of matter not only broadens our knowledge of matter but could potentially lead to a whole

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15

HSU, CHEN-CHEN, and 許真真. "The invariant subfields of finite automorphism groups on Weyl fields." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/65629541908071589099.

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16

Lin, Ing-Chen, and 林英程. "Weyl-invariant massive gravity and the Bianchi type I space." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/06824586594235612866.

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博士<br>國立交通大學<br>物理研究所<br>105<br>We construct a model with Weyl-invariance and massive gravity, study its eld equations, and nd some analytic solutions in the Bianchi type I space. In this model, massive gravity provides an eective cosmological constant, while Weyl-invariance provides a cold dark matter. After we add a quartic potential of the Weyl gauge vector into the Lagrangian density, the Weyl-invariant matter will be extreme hot initially although cold today, which acts like a mixture of cold matter and hot matter. Furthermore, a free in aton is added to control an anisotropy in equations

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17

Körber, Martin Julius. "Phase-Space Localization of Chaotic Resonance States due to Partial Transport Barriers." Doctoral thesis, 2016. https://tud.qucosa.de/id/qucosa%3A30153.

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Abstract:

Classical partial transport barriers govern both classical and quantum dynamics of generic Hamiltonian systems. Chaotic eigenstates of quantum systems are known to localize on either side of a partial barrier if the flux connecting the two sides is not resolved by means of Heisenberg's uncertainty. Surprisingly, in open systems, in which orbits can escape, chaotic resonance states exhibit such a localization even if the flux across the partial barrier is quantum mechanically resolved. We explain this using the concept of conditionally invariant measures by introducing a new quantum mechanicall

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18

Lau, Alexander. "Symmetry-enriched topological states of matter in insulators and semimetals." Doctoral thesis, 2017. https://tud.qucosa.de/id/qucosa%3A30848.

Full text

Abstract:

Topological states of matter are a novel family of phases that elude the conventional Landau paradigm of phase transitions. Topological phases are characterized by global topological invariants which are typically reflected in the quantization of physical observables. Moreover, their characteristic bulk-boundary correspondence often gives rise to robust surface modes with exceptional features, such as dissipationless charge transport or non-Abelian statistics. In this way, the study of topological states of matter not only broadens our knowledge of matter but could potentially lead to a whole

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