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Examples of reflection positive field theories
(World Scientific, 2018-02)
The requirement of reflection positivity (RP) for Euclidean field theories is considered. This is done for the cases of a scalar field, a higher derivative scalar field theory and the scalar field theory defined on a ...
Modular energy inequalities from relative entropy
(Springer, 2018-01)
We obtain new constraints for the modular energy of general states by using the monotonicity property of relative entropy. In some cases, modular energy can be related to the energy density of states and these constraints ...
Irreversibility in quantum field theories with boundaries
(Springer, 2019-04)
We study conformal field theories with boundaries, and their boundary renormalization group (RG) flows, using methods from quantum information theory. Positivity of the relative entropy, together with unitarity and Lorentz ...
Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
(Scientific Research Publishing, 2015-04)
We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory ...
Perturbative double field theory on general backgrounds
(American Physical Society, 2016-01)
We develop the perturbation theory of double field theory around arbitrary solutions of its field equations. The exact gauge transformations are written in a manifestly background covariant way and contain at most quadratic ...
The g-theorem and quantum information theory
(Springer, 2016-10)
We study boundary renormalization group flows between boundary conformal field theories in 1 + 1 dimensions using methods of quantum information theory. We define an entropic g-function for theories with impurities in terms ...
Definable groups in DCFA
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2019)
Classical and Quantum Field-Theoretical approach to the non-linear q-Klein-Gordon Equation
(Europhysics Letters, 2016-12)
In the wake of efforts made Nobre and Rego-Monteiro in EPL, 97 (2012) 41001 and
J. Math. Phys., 54 (2913) 103302, we extend them here by developing the conventional Lagrangian
treatment of a classical field theory (FT) ...
Routh reduction for first-order Lagrangian field theories
(Springer, 2018-11-22)
We present a reduction theory for first-order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed value of the momentum ...
Tsallis' quantum q-fields
(IOP Publishing, 2018-05)
We generalize several well known quantum equations to a Tsallis' q-scenario, and provide a quantum version of some classical fields associated with them in the recent literature. We refer to the q-Schródinger, q-Klein-Gordon, ...