Abstract
We consider gauge theories with multitrace deformations in the context of certain AdS/CFT models with explicit breaking of conformal symmetry and supersymmetry. In particular, we study the standard four-dimensional confining model based on the D4-brane metric at finite temperature. We work in the self-consistent Hartree approximation, which becomes exact in the large-N limit and is equivalent to the AdS/CFT multitrace prescription that has been proposed in the literature. We show that generic multitrace perturbations have important effects on the phase structure of these models. Most notably they can induce new types of large-N first-order phase transitions.
Highlights
In ’t Hooft’s large-N limit of gauge theories [1], the scaling of the bare gauge coupling g2 ∼ 1/N is tuned so that the vacuum energy is proportional to N 2
4 Casimir energies are not induced either, since the D4 world-volume is flat S1 × R4. This expectation value has the crucial property of diverging as λ → ∞. Since this is precisely the supergravity regime of the effective single-trace theory, we learn that multitrace deformations are potentially stronger in the region where AdS/CFT is under quantitative control and they may be reliably studied
It turns out that the dynamical effect of multitrace deformations is strong in the supergravity approximation to the AdS/CFT master field
Summary
In ’t Hooft’s large-N limit of gauge theories [1], the scaling of the bare gauge coupling g2 ∼ 1/N is tuned so that the vacuum energy is proportional to N 2. The set of single-trace gauge-invariant operators with expectation values of O(1) in the large-N limit. For more general theories, including scalar fields and fermions in the adjoint representation, we extend the basic family of gauge-invariant operators to include these fields as well These operators become quasi-classical in the large-N limit, in the sense that lim O O′ = lim O O′. Our discussion shows that the basic phenomenon is more general than the particular AdS/CFT set-up It is a general consequence of the fact that the Hartree (or Thomas–Fermi) approximation becomes exact in the large-N limit (see for example [9]). The AdS/CFT boundary conditions of [5,6] will receive 1/N corrections, in addition to the usual loop corrections in the bulk of AdS
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
