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Identifier

000465800

Title

Dispersion relations for conformal field theories at finite temperature

Alternative Title

Σχέσεις διασποράς για σύμμορφες θεωρίες πεδίου σε πεπερασμένη θερμοκρασία

Author

Στρατουδάκης, Αλέξανδρος Ε.

Thesis advisor

Νιάρχος, Βασίλειος

Reviewer

Πορφυριάδης, Αχιλλέας
Σωτηριάδης, Σπύρος

Abstract

We consider two point functions of identical scalar operators in conformal field theory on the S^β₁ × R^d−1 manifold. Using the thermal Lorentzian OPE inversion we derive a thermal dispersion relation for these correlation functions. We showcase that, through some non- trivial identities, the kernel of that relation is independent of space-time dimension and is equivalent to a kernel that can be obtained from a direct application of the Cauchy theorem. We demonstrate a generalization to our methodology with the use of an arbitrary function and show that our previous result and the dispersion relation derived in [1] can be recovered for specific choices of that function. Applying our dispersion relation to generalized free field theories and the large-N limit of the 3d O(N ) vector model, we observe that even a small number of operators in the t-channel operator product expansion (OPE) of the discontinuity is enough to yield a good approximation of the full two-point function in the region of the s-channel OPE convergence.

Language

English

Subject

AdS/CFT

Conformal field theory

QFT

Quantum field theory

Thermal correlation functions

Thermal field theory

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