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| Identifier |
000433832 |
| Title |
Explorations with the Conformal Bootstrap |
| Alternative Title |
Διερεύνηση των τεχνικών του Conformal Bootstrap |
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Author
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Τσιακούλιας Μανέττας, Δημήτρης Γ.
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Thesis advisor
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Νιάρχος, Βασίλειος
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| Abstract |
Conformal field theories are known to describe the universal physics in scale invariant critical points.
In this thesis we utilize the tools of the numerical conformal bootstrap. We begin by applying the
bootstrap in the case of 3d Ising model, by considering both single and mixed correlators of scalar
operators with Ζ2 global symmetry. The results we find for the two relevant scaling dimensions are in
agreement with Monte Carlo studies. We then proceed to study scalar operators with a global O(N)
symmetry, by applying the mixed correlator bootstrap for the two relevant scalars in the singlet and
vector representation for N=2, 5. The N=2 case describes the XY universality class and has been
studied with various methods. The results we find agree with Monte Carlo predictions. The N=5 is
hypothesized to be relevant for high Tc superconductors. We determine the scaling dimensions of the
singlet and vector relevant operators and we find them to disagree with ε-expansion results. Finally we
use a recent method that allows to determine scaling dimensions by considering only single correlators
and apply it to the case of O(N), for N=4 up to N=10.
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| Language |
English |
| Subject |
Conformal symmetry |
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Quantum field theory |
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Κβαντική θεωρία πεδίου |
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Σύμμορφη συμμετρία |
| Issue date |
2020-11-20 |
| Collection
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School/Department--School of Sciences and Engineering--Department of Physics--Post-graduate theses
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Type of Work--Post-graduate theses
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| Views |
341 |
Explorations with the Conformal Bootstrap
