Article
Astronomy & Astrophysics
Evgeny I. Buchbinder, Benjamin J. Stone
Summary: This article analyzes the general structure of the three-point functions of conserved higher-spin supercurrents in the 3D N=4 superconformal field theory. It is demonstrated that supersymmetry imposes additional constraints on the correlation functions of conserved higher-spin currents. A manifestly supersymmetric formalism is developed to compute the three-point function involving conserved higher-spin supercurrents, and explicit solutions are presented. The classification of the results for a range of superspins is proposed to hold for arbitrary superspins.
Article
Astronomy & Astrophysics
Evgeny Buchbinder, Benjamin J. Stone
Summary: This study examines N = 1 superconformal field theories in three dimensions with a conserved current multiplet, focusing on the superspin-2 current multiplet. By utilizing a superspace formulation, correlation functions involving the multiplet are calculated, revealing fixed parity-even and parity-odd sectors up to a single coefficient. The presence of the parity-odd contribution highlights a nontrivial aspect and apparent tension between supersymmetry and the existence of parity-odd structures.
Article
Astronomy & Astrophysics
Evgeny I. Buchbinder, Benjamin J. Stone
Summary: We analyze the general structure of three-point functions involving conserved higher-spin bosonic and fermionic currents in three-dimensional conformal field theory. Using computational formalism and constraints of conformal symmetry and conservation equations, we find that the correlation function is fixed up to two even structures and one odd structure, subject to a set of triangle inequalities. We also analyze the structure of three-point functions involving higher-spin currents and fundamental scalar and spinor fields.
Article
Physics, Multidisciplinary
Liangdong Hu, Yin-Chen He, W. Zhu
Summary: This article investigates the operator content of 3D Ising criticality using the fuzzy sphere regularization method. It computes 13 OPE coefficients, which are highly accurate and in agreement with numerical conformal bootstrap data. The study also uncovers 4 previously unknown OPE coefficients, demonstrating the superior capabilities of the method and opening up new avenues for exploring new physics.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Yi-Ting Tu, Yu-Chin Tzeng, Po-Yao Chang
Summary: This paper proposes a natural extension of entanglement and Renyi entropies for non-Hermitian quantum systems and demonstrates their applications in non-Hermitian critical systems and symmetry-protected topological phases. The proposed entanglement measures capture the desired properties and show good agreement with theoretical predictions.
Article
Astronomy & Astrophysics
Evgeny Buchbinder, Benjamin J. Stone
Summary: In this study, the mixed three-point correlation functions of the supercurrent and flavor current in three-dimensional 1 <= N <= 4 superconformal field theories were examined. The results showed that only parity-even structures appeared in the correlation functions, and it was also found that supersymmetry forbids parity-odd structures in three-point functions involving the supercurrent and flavor current multiplets.
Article
Physics, Multidisciplinary
Amit Gordon, Aditya Banerjee, Maciej Koch-Janusz, Zohar Ringel
Summary: The article discusses a method for finding relevant degrees of freedom in complex physical systems using information bottleneck theory, which is related to the renormalization group theory in field theory. This approach provides an exploration of physical interpretability in the application of deep learning in physics.
PHYSICAL REVIEW LETTERS
(2021)
Article
Astronomy & Astrophysics
Ichiro Oda
Summary: This study performs a covariant quantization of a Weyl-invariant scalar-tensor gravity and discovers the gravitational conformal symmetry and the mechanism of spontaneous symmetry breaking of the choral symmetry within the framework of the BRST formalism.
Article
Astronomy & Astrophysics
Domenico Orlando, Vito Pellizzani, Susanne Reffert
Summary: This paper discusses a nonrelativistic system at large charge where Schrodinger symmetry is slightly broken by an explicit mass term for the dilaton field, nonlinearly realizing nonrelativistic scale invariance. The large-charge formalism is developed from the linear sigma model perspective, identifying a root Q log Q term as a signature of the explicit breaking, which can be distinguished from effects coming from breakdown of the EFT at the edge of the particle cloud over a large range of orders of magnitude.
Article
Astronomy & Astrophysics
Evgeny Buchbinder, Benjamin J. Stone
Summary: We investigate the properties of a four-dimensional conformal field theory with a fermionic higher-spin current and examine the number of independent tensor structures in the three-point correlation functions. We show that the three-point correlation functions are not consistent with N = 1 supersymmetry.
Article
Physics, Multidisciplinary
Pablo Bueno, Pablo A. Cano, Angel Murcia, Alberto Rivadulla Sanchez
Summary: This article discusses the natural generalization of Renyi entropies in the presence of global symmetries, particularly the relationship between charged Renyi entropies and chemical potential. For a general conformal field theory, the correction to charged entanglement entropy across a spherical surface is quadratic in the chemical potential and universally controlled by specific coefficients.
PHYSICAL REVIEW LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Yijian Zou, Guifre Vidal
Summary: This paper proposes a multiboundary generalization of thermofield double states (TFD) of a two-dimensional conformal field theory (CFT) and verifies their entanglement structure through numerical experiments. It is found that the multipartite entanglement of these states can be significant or negligible depending on certain parameters.
Article
Materials Science, Multidisciplinary
Ryan A. Lanzetta, Lukasz Fidkowski
Summary: We incorporate the microscopic assumptions that lead to a certain generalization of the Lieb-Schultz-Mattis theorem for one-dimensional spin chains into the conformal bootstrap. Our approach accounts for the LSM anomaly possessed by these spin chains through a combination of modular bootstrap and correlator bootstrap of symmetry defect operators. Interesting bounds on local operators of conformal field theories describing translationally invariant lattice Hamiltonians with a ZNxZN symmetry are obtained, both with and without refinement by their global symmetry representations.
Article
Astronomy & Astrophysics
Georgios K. Karananas, Mikhail Shaposhnikov, Andrey Shkerin, Sebastian Zell
Summary: The article explores how Einstein-Cartan gravity can accommodate both global scale and local scale (Weyl) invariance, constructing a wide class of models with nonpropagating torsion and a nonminimally coupled scalar field. It discusses the need for an additional field-dilaton-for global scale invariance, and how the theory reduces to a subclass of one-field models in the case of the Weyl symmetry. The article also derives an equivalent metric theory in both scenarios of scale invariance and discusses possible implications for phenomenology.
Article
Astronomy & Astrophysics
Valentin Benedetti, Lucas Daguerre
Summary: We study the universal logarithmic coefficient of the entanglement entropy in a sphere for free fermionic field theories in a d = 4 Minkowski spacetime. We perform dimensional reduction to calculate the universal logarithmic coefficient for free massless spin-1=2 and spin-3=2 fields. The calculated results are consistent with the literature.
Article
Mathematics, Applied
Luca Fabbri
Summary: The paper investigates the structure of general spinors in polar form and finds that Weyl and Majorana spinors can be interpreted as pure Goldstone states, without any real degree of freedom.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
(2022)
Article
Astronomy & Astrophysics
Stefano Vignolo, Sante Carloni, Roberto Cianci, Fabrizio Esposito, Luca Fabbri
Summary: This study presents a tetrad-affine approach to investigate the coupling between f(Q) gravity and spinor fields of spin-1/2. Field equations and the conservation law of spin density are derived. The study focuses on Bianchi type-I cosmological models and provides a general procedure to solve the corresponding field equations. Analytical solutions are obtained in the case of f(Q) = alpha Q(n), showing isotropization at late times and the possibility of accelerated expansion depending on the exponent n.
CLASSICAL AND QUANTUM GRAVITY
(2022)
Article
Astronomy & Astrophysics
Luca Fabbri
Summary: We use the fourth-order differential theory of gravitation to address the issue of singularity avoidance, specifically studying the short-distance behavior in the case of black holes and the big bang.
Article
Multidisciplinary Sciences
Rodolfo Jose Bueno Rogerio, Luca Fabbri
Summary: In this paper, a new class of spin-half mass-dimension one fermions is obtained using the machinery introduced in Ahluwalia (Ahluwalia 2020. Phys. Eng. Sci. 476, 20200249. (doi:10.1098/rspa.2020.0249) and EPL 131, 41001. (doi:10.1209/0295-5075/131/41001)). These spinors, after a suitable dual structure examination, can serve as expansion coefficients for a local field.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Multidisciplinary Sciences
Luca Fabbri
Summary: This article investigates the concepts of symmetry and its breakdown from two different perspectives. It discusses the universal asymmetry resulting from a special configuration in the first case, using an example from the standard model of particles and its consequences for cosmological scenarios. In the second case, it explores specific solutions for particle dynamics and an example of a toy model of entangled spins.
Article
Astronomy & Astrophysics
Luca Fabbri
Summary: This article discusses the theory of spinor fields in polar form, focusing on separating the true degrees of freedom of spinors from their Goldstone states. It is shown that these degrees of freedom contain information about rotation that is independent of gravitation. A model of entangled spins is constructed using this theory, where a singlet possesses a uniform rotation that collapses simultaneously regardless of spatial distance. Similar models of entangled polarizations are also discussed, along with an analogy to the double-slit experiment. General comments on Goldstone states are provided.
Article
Physics, Multidisciplinary
Luca Fabbri
Summary: This article presents the theory of Dirac spinors in the formulation proposed by Bohm based on the idea of de Broglie. It re-writes the quantum relativistic matter field as a special type of classical fluid, demonstrating how a relativistic environment can encompass the non-local aspects of the hidden variables theory.
FOUNDATIONS OF PHYSICS
(2022)
Article
Mathematics, Applied
Luca Fabbri
Summary: In this article, we investigate tensorial connection for spinorial fields in polar form in various physical situations. We demonstrate that the tensorial connection is a useful tool in some cases, while in other cases, it is a necessary object. We compare and analyze different cases with a tensorial connection, exploring the analogies between space-time structures. Furthermore, we provide comments on quantum field theory and specific spinors.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
(2023)
Article
Astronomy & Astrophysics
Luca Fabbri
Summary: In this paper, we investigate the role of the torsion axial-vector in the dynamics of Dirac spinor fields. We demonstrate that the torsional correction leads to effects that regularize the otherwise singular distribution of spinorial matter fields. Finally, we provide comments on the implications for physics.
Article
Mathematics, Applied
Rodolfo Jose Bueno Rogerio, Luca Fabbri
Summary: In this paper, we investigate a versatile field propagator that can accommodate both newly-defined mass-dimension 1 fermions and spin-1/2 bosons. Our approach involves defining a mapping between spinors of different Lounesto classes and expressing the propagator in terms of the corresponding dual structures.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
(2023)
Article
Physics, Multidisciplinary
Luca Fabbri
Summary: We investigate the hydrodynamic formulation of quantum mechanics for relativistic spinor fields and find that the commonly defined velocity cannot accurately represent the tangent vector to particle trajectories. We propose an alternative definition for the tangent vector and hence particle trajectories, which we believe to be novel and unique. These findings are a crucial step towards addressing additional challenges such as defining trajectories for multi-particle systems or ensembles, as they have numerous applications and implications in quantum mechanics.
FOUNDATIONS OF PHYSICS
(2023)
Article
Nanoscience & Nanotechnology
Luca Fabbri, Camilla Bordoni, Pedro Barquinha, Jerome Crocco, Beatrice Fraboni, Tobias Cramer
Summary: The disordered microscopic structure of amorphous semiconductors leads to the formation of band tails in the density of states (DOS), which greatly affect charge transport properties. Kelvin Probe Force Microscopy (KPFM) is a powerful technique to measure the DOS, but lacks a model to interpret KPFM spectroscopy data on amorphous semiconductors of finite thickness. In this study, an analytical solution to the Poisson equation is provided for a metal-insulator-semiconductor junction interacting with the atomic force microscope tip, allowing for the fitting of experimental data and obtaining DOS parameters. This method was demonstrated on Indium-Gallium-Zinc Oxide (IGZO) thin-film transistors (IGZO-TFTs) and showed good agreement with values obtained from photocurrent spectroscopy.
Editorial Material
Astronomy & Astrophysics
Luca Fabbri
Article
Multidisciplinary Sciences
Luca Fabbri
Summary: This article discusses the re-formulation of relativistic spinor field theory in polar variables, allowing for interpretation in terms of fluid variables. The dynamics of spinor fields are then converted into a special type of spin fluid dynamics. The authors demonstrate that this conversion into dynamical spin fluid is not unique, but can be achieved through 19 different rearrangements, as evidenced by the 19 minimal systems of hydrodynamic equations equivalent to the Dirac equations.
Article
Physics, Multidisciplinary
Andre G. Campos, Luca Fabbri
Summary: In this study, the relativistic dynamical inversion technique is used to find analytical solutions to the Dirac equation in explicitly covariant form. The technique is demonstrated by making a change from Cartesian to spherical coordinates for a given Dirac spinor. The study also constructs a family of normalizable analytic solutions and identifies exact solutions for specific cases involving magnetic and electric fields.
PHYSICAL REVIEW RESEARCH
(2022)