A general method to build the entanglement renormalization (cMERA) for interacting quantum field theories is presented. We improve upon the well-known Gaussian formalism used in free theories through ...a class of variational non-Gaussian wave functionals for which expectation values of local operators can be efficiently calculated analytically and in a closed form. The method consists of a series of scale-dependent nonlinear canonical transformations on the fields of the theory under consideration. Here, the λϕ4 and the sine-Gordon scalar theories are used to illustrate how nonperturbative effects far beyond the Gaussian approximation are obtained by considering the energy functional and the correlation functions of the theory.
Full text
Available for:
CMK, CTK, FMFMET, IJS, NUK, PNG, UM
T -folds from Yang-Baxter deformations Fernández-Melgarejo, José J.; Sakamoto, Jun-ichi; Sakatani, Yuho ...
The journal of high energy physics,
12/2017, Volume:
2017, Issue:
12
Journal Article
Peer reviewed
Open access
A
bstract
Yang-Baxter (YB) deformations of type IIB string theory have been well studied from the viewpoint of classical integrability. Most of the works, however, are focused upon the local ...structure of the deformed geometries and the global structure still remains unclear. In this work, we reveal a non-geometric aspect of YB-deformed backgrounds as
T
-fold by explicitly showing the associated O(
D
,
D
;
ℤ
)
T
-duality monodromy. In particular, the appearance of an extra vector field in the generalized supergravity equations (GSE) leads to the non-geometric
Q
-flux. In addition, we study a particular solution of GSE that is obtained by a non-Abelian
T
-duality but cannot be expressed as a homogeneous YB deformation, and show that it can also be regarded as a
T
-fold. This result indicates that solutions of GSE should be non-geometric quite in general beyond the YB deformation.
We revisit Weyl invariance string theories in generalized supergravity backgrounds. A possible counterterm was constructed in a work by Sakamoto, Sakatani, and Yoshida, but it seems to be a point of ...controversy in some literatures whether or not it is nonlocal. To settle down this issue, we show that the counterterm may be local and exactly cancels out the one-loop trace anomaly in generalized supergravity backgrounds.
Full text
Available for:
CMK, CTK, FMFMET, IJS, NUK, PNG, UM
A
bstract
In this work we provide a method to study the entanglement entropy for non-Gaussian states that minimize the energy functional of interacting quantum field theories at arbitrary coupling. ...To this end, we build a class of non-Gaussian variational trial wavefunctionals with the help of exact nonlinear canonical transformations. The calculability
bonanza
shown by these variational
ansatze
allows us to compute the entanglement entropy using the prescription for the ground state of free theories. In free theories, the entanglement entropy is determined by the two-point correlation functions. For the interacting case, we show that these two-point correlators can be replaced by their nonperturbatively corrected counterparts. Upon giving some general formulae for general interacting models we calculate the entanglement entropy of half space and compact regions for the
ϕ
4
scalar field theory in 2D. Finally, we analyze the rôle played by higher order correlators in our results and show that strong subadditivity is satisfied.
The large N limit of icMERA and holography Fernández-Melgarejo, José J.; Molina-Vilaplana, Javier
The journal of high energy physics,
04/2022, Volume:
2022, Issue:
4
Journal Article
Peer reviewed
Open access
A
bstract
In this work, we compute the entanglement entropy in continuous icMERA tensor networks for large
N
models at strong coupling. Our results show that the 1
/N
quantum corrections to the ...Fisher information metric (interpreted as a local bond dimension of the tensor network) in an icMERA circuit, are related to quantum corrections to the minimal area surface in the Ryu-Takayanagi formula. Upon picking two different non-Gaussian entanglers to build the icMERA circuit, the results for the entanglement entropy only differ at subleading orders in 1
/G
N
, i.e., at the structure of the quantum corrections in the bulk. The fact that the large
N
part of the entropy can be always related to the leading area term of the holographic calculation is very suggestive. These results, constitute the first tensor network calculations at large
N
and strong coupling simultaneously, pushing the field of tensor network descriptions of the emergence of dual spacetime geometries from the structure of entanglement in quantum field theory.
Double field theory at SL(2) angles Ciceri, Franz; Dibitetto, Giuseppe; Fernandez-Melgarejo, J. J. ...
The journal of high energy physics,
05/2017, Volume:
2017, Issue:
5
Journal Article
Peer reviewed
Open access
A
bstract
An extended field theory is presented that captures the full SL(2) × O(6, 6 +
n
) duality group of four-dimensional half-maximal supergravities. The theory has section constraints whose two ...inequivalent solutions correspond to minimal
D
= 10 supergravity and chiral half-maximal
D
= 6 supergravity, respectively coupled to vector and tensor multiplets. The relation with O(6, 6 +
n
) (heterotic) double field theory is thoroughly discussed. Non-Abelian interactions as well as background fluxes are captured by a deformation of the generalised diffeomorphisms. Finally, making use of the SL(2) duality structure, it is shown how to generate gaugings with non-trivial de Roo-Wagemans angles via generalised Scherk-Schwarz ansätze. Such gaugings allow for moduli stabilisation including the SL(2) dilaton.
A
bstract
In a completely systematic and geometric way, we derive maximal and half-maximal supersymmetric gauged double field theories in lower than ten dimensions. To this end, we apply a simple ...twisting ansatz to the
D
= 10 ungauged maximal and half-maximal supersymmetric double field theories constructed previously within the so-called semi-covariant formalism. The twisting ansatz may not satisfy the section condition. Nonetheless, all the features of the semi-covariant formalism, including its complete covariantizability, are still valid after the twist under alternative consistency conditions. The twist allows gaugings as supersymmetry preserving deformations of the
D
= 10 untwisted theories after Scherk-Schwarz-type dimensional reductions. The maximal supersymmetric twist requires an extra condition to ensure both the Ramond-Ramond gauge symmetry and the 32 supersymmetries unbroken.
A
bstract
We study dimensional reductions of M-theory/type II strings down to 6D in the presence of fluxes and spacetime filling branes and orientifold planes of different types. We classify all ...inequivalent orientifold projections giving rise to
N
= (1
,
1) supergravities in 6D and work out the embedding tensor/fluxes dictionary for each of those. Finally we analyze the set of vacua for the different classes of reductions and find an abundance of “no-scale” type Minkowski vacua, as well as a few novel examples of (A)dS extrema.
We present new experimental constraints on the elastic, spin-dependent WIMP-nucleon cross section using recent data from the XENON100 experiment, operated in the Laboratori Nazionali del Gran Sasso ...in Italy. An analysis of 224.6 live days×34 kg of exposure acquired during 2011 and 2012 revealed no excess signal due to axial-vector WIMP interactions with 129Xe and 131Xe nuclei. This leads to the most stringent upper limits on WIMP-neutron cross sections for WIMP masses above 6 GeV/c², with a minimum cross section of 3.5×10(-40) cm² at a WIMP mass of 45 GeV/c², at 90% confidence level.
Full text
Available for:
CMK, CTK, FMFMET, IJS, NUK, PNG, UM
PDF
