E-Locus - Institutional Repository of the University of Crete - Renormalization group flows in non-relativistic holographic effective field theories

Home Renormalization group flows in non-relativistic holographic effective field theories

Results - Details

[Add to Basket]

Identifier

000402899

Title

Renormalization group flows in non-relativistic holographic effective field theories

Alternative Title

Ροές επανακανονικοποίησης σε μη-σχετικιστικές ολογραφικές θεωρίες πεδίου

Author

Κουτεντάκης, Γεώργιος Μ.

Thesis advisor

Κυρίτσης, Ηλίας

Abstract

We develop a formalism with two different UV cutoff scales, one for space and one for time, appropriate for the richer structure of non-Lorentz invariant quantum field theories. In this formalism there are two different β functions for each coupling constant, arising from independent variations of the energy or momentum cutoffs. For holographic non-relativistic theories with rotational invariance, we develop the technique to calculate such β-functions using a generalization of the superpotential formalism developed in [56]. We then proceed and compute the β function around a Lifshitz critical point, as well as for general Lifshitz-invariant theories with hyperscaling violation. Finally, we do a similar computation in a weakly coupled Lifshitz invariant QFT.

Language

English

Subject

ADS/CFT

Field theory

Holography

Θεωρία πεδίου

Ολογραφία

Issue date

2016-11-18

Collection

School/Department--School of Sciences and Engineering--Department of Physics--Post-graduate theses