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Showing 1 to 15 of 15 for “"polyakov"”.
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The Polyakov loop and its correlators in higher representations of SU(3) at finite temperature
We have calculated the Polyakov loop in representations D=3,6,8,10,15a,15s,24,27 and diquark and baryonic Polyakov loop correlation functions with fundamental sources in SU(3) pure gauge theory and 2-flavour QCD with staggered quarks and Qbar Q-singlet correlation functions with sources in the …
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Flux tube profiles at high temperature
… extracted from correlations of a plaquette with Polyakov loops by varying the distance and the orientation of the plaquette with respect to the Polyakov loops. The parallel electric field component turned out to be larger than the other three field components, which are approximately equal, at …
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Frontiers of Liouville quantum gravity
… the most natural formulation of the Knizhnik-Polyakov-Zamolodchikov (KPZ) formula, which relates Hausdorff dimensions of sets with respect to the Euclidean and LQG metric. And we prove upper and lower bounds on the Hausdorff dimension of the LQG metric. --
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Cosmic string cusps and their application to fast radio bursts
… structure called wiggles. We extend on a wiggly Polyakov formalism and show that wiggles prohibit cusp formation (barring ad-hoc fine tuning of initial conditions). We discuss these theoretical results in the context of using strings to explain fast radio bursts (FRBs). Cusp decay is a possible …
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On Gaussian multiplicative chaos and conformal field theory
… a ``summing over surfaces" can be traced back to Polyakov's work on bosonic string theory. Indeed, the starting point of string theory is to replace a point particle by a one dimensional manifold (a string), so that one must replace the worldline by a worldsheet, i.e. an embedding of a surface …
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Random surface interpretations of two-dimensional Liouville quantum gravity and Yang-Mills theory
… gravity surfaces. It also establishes the Polyakov-Alvarez formula on non-smooth surfaces with Brownian loops instead of the zeta-regularized Laplacian determinant. Consequently, "weighting by a Brownian loop soup" changes the so-called central charge of the regularized random surfaces, as …
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Random surfaces and the Yang-Lee edge singularity
… surface theory. It originated with the work of Polyakov and involves functionally integrating over internal metrics. We will review a recently devised method to infer the critical exponents of conformal field theories coupled to the fluctuating metric. Chapter 3 explains a complimentary discrete …
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Teoria de cordas bosônicas
… três, onde vemos a ação de Nambu-Goto e de Polyakov, invariâncias de gauge, simetrias e algumas propriedades da dinâmica da corda. O quarto capítulo é destinado para o estudo técnico da quantização da corda bem como suas propriedades. O grande resultado deste capítulo é a demonstração do …
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Random conformally covariant metrics in the plane
… in the physics literature in the 1980s by Polyakov in order to provide a canonical example of a random surface with conformal symmetries and formally given by the Riemannian metric tensor "$e^{\gamma h} (dx^2+dy^2)$'' where $h$ is a Gaussian free field (GFF) on a planar domain and $\gamma …
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Self-duality for SU([infinity]) gauge theories and extended objects
… string instantons, introduced by Polyakov constitute a special case of these solutions. Of particular interest are two octonionic classes: a membrane in 7 dimensions and a 3-brane in 8 dimensions. To simplify the calculations in these cases we developed an approach to octonionic …
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Group size affects predation risk and foraging success in Pacific salmon at sea
Grouping (schooling, flocking, herding) is broadly distributed across taxa and environments, and is particularly common in marine fishes. A rich body of theory outlines ways in which grouping can enhance individual fitness, especially by improved predator avoidance and foraging efficiency. However, …
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Thermal QCD on the lattice – from finite density to non-uniform magnetic fields
… transitions -- the chiral condensate and the Polyakov loop -- in the presence of an inhomogeneous magnetic background. We showed that, in this scenario, these observables manifest novel localized features. Finally, we extrapolated the results to the continuum limit. In part (3), we …
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From quarks to cold atoms: the phases of strongly-interacting systems
… which is built upon the symmetries of QCD, the Polyakov–Nambu–Jona-Lasinio (PNJL) model. We construct the QCD phase diagram for two and three quark flavors, giving special attention to the effect of the intermediate strange quark mass on the preferred quark pairing structure at intermediate to …
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Astrophysical tests of modified gravity
… screen using the environment-dependent Damour-Polyakov effect. The thesis is split into two parts. The first is aimed at searching for new and novel astrophysical probes and using them to place new constraints on the model parameters. In particular, we derive the equations governing …
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Topological Objects and Confinement in Non-Abelian Lattice Gauge Theory
We use lattice methods to study the connection between topological objects and the confining potential in SU(2) and SU(3) Yang-Mills theories. We use Monte Carlo techniques, generating and performing measurements on sample configurations of SU(2) and SU(3) gauge fields. We isolate topological …