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Showing 1 to 15 of 15 for “"renormalisation group"”.
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Renormalisation Group Flows in Lifshitz Holography
In this thesis we construct holographic duals of renormalisation group flows between field theories with conformal symmetries and the Lifshitz scaling symmetries. These take the form of spacetimes with a region asymptoting to AdS and another asymptoting to the Lifshitz metric of [1], with some …
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A Renormalisation Group Approach to the Hubbard Model
… dimensional Hubbard model with the aid of exact renormalisation group equations. For this purpose we rewrite the purely fermionic theory in a form where bosonic fields mediate the interaction between fermions. A symmetry breaking condensate then manifests itself in a nonvanishing expectation …
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The Many Scales of Quantum Fields and Gravity
… Science. All thanks to the powerful tool of the Renormalisation Group. However, in the presence of gravity this becomes rather challenging as scales become outputs of the dynamics rather than inputs. This thesis covers several studies regarding this intersection, trying to understand the …
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Two-Dimensional Discrete Gaussian Model at High Temperature
… The goal of this thesis is to apply rigorous renormalisation group method to study the two-dimensional discrete Gaussian model in the delocalised phase, thereby obtaining central limit theorems in long-distance limit—in physics literature, the renormalisation group is a standard apparatus used …
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Extreme values of non-Gaussian fields
… regularity estimates are established using renormalisation group and stochastic control techniques, in particular the Polchinski renormalisation group approach and the Bou$\acute e$-Dupuis variational formula.
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Corner Transfer Matrix approach to the Yang-Lee Singularity in the 2D Ising Model
… focus on the Ising scaling theory, general renormalisation arguments and conformal field theory (and the more modern logarithmic extensions) used to underpin our current understanding of the model. This thesis then details the theory and implementation details for the main numerical …
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Corner Transfer Matrix approach to the Yang-Lee Singularity in the 2D Ising Model
… focus on the Ising scaling theory, general renormalisation arguments and conformal field theory (and the more modern logarithmic extensions) used to underpin our current understanding of the model. This thesis then details the theory and implementation details for the main numerical …
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Dimensionally Regulated On-Shell Renormalisation In QCD And QED
… is applicable to on-shell mass and wavefunction renormalisation. <br></br><br></br> After an extensive review of the relevant areas of renormalisation, and of the rôle of quark masses in current algebra, we go on to use the extended technique to extract the fermion mass and wavefunction …
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Phenomenology of the minimal <i>B - L</i> extension of the Standard Model at the LHC
… the unitarity bound and the constraints from the renormalisation group equations study. In the allowed region of the parameter space, we delineate the phenomenology of the Higgs bosons and we show characteristic signatures of the latter, at the LHC, involving the <i>Z'</i> boson and the heavy …
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Physics beyond the standard model: moduli stabilisation and neutrino physics
… the effects of charged lepton corrections and Renormalisation Group (RG) running on neutrino mixing angles and various sum rules, in models where tri-bimaximal mixing is exactly achieved at high energy scale. We find the RG corrections to neutrino sum rules to be typically small for the case of …
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Aspects of electroweak symmetry breaking in physics beyond the standard model
… the μ-problem of the MSSM. We investigate the Renormalisation Group Evolution of the model and test for radiative electroweak symmetry breaking in two versions of the model with different high scale constraints. First we briefly look at scenarios with non-universal Higgs masses at the GUT scale …
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Unstructured mesh - finite volume algorithms for swirling, turbulent, reacting flows
… flows it is shown that both the standard and ReNormalisation Group k-e models fail to accurately predict turbulent effects. An anisotropic hybrid (k-e and mixing length) model is developed which produces excellent numerical results for the flows of interest. The Simple Chemical Reaction Scheme …
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Density Fluctuations and Phase Behaviour in Non-Equilibrium Systems
… elastic interfaces under disordered media. Using renormalisation group analysis in the Doi-Peliti formalism, a bottom-up field-theoretic approach, we characterise analytically the critical behaviour near the transition, highlighting in particular the surprisingly weak density fluctuations at …
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Decoherence effects in nonequilibrium transport through mesoscopic systems
… differential conductance. Second, analytical renormalisation group (RG) approaches are developed to study nonequilibrium transport through a quantum dot in the Kondo regime. Interactions within the quantum dot, which are essential for the occurrence of the Kondo effect, are taken into account …
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Precision phenomenology of the PDF-BSM interplay
… formulated in terms of EFTs, can modify the renormalisation group evolution of the PDFs in the DGLAP equations, which describes how PDFs evolve with the energy scale. In Chapter 6, we shift our focus from PDFs to ways in which novel ML techniques can be used for precision calculations in LHC …