Results 91 to 100 of about 1,613,840 (373)
, 2009 We discuss in details the role of Wigner 6j symbol as the basic building block unifying such different fields as state sum models for quantum geometry, topological quantum field theory, statistical lattice models and quantum computing.
Carfora, Mauro +2 more
core +1 more source
D-Theory: Field Theory via Dimensional Reduction of Discrete Variables [PDF]
, 1997 A new non-perturbative approach to quantum field theory --- D-theory --- is proposed, in which continuous classical fields are replaced by discrete quantized variables which undergo dimensional reduction.
A. Tsapalis +45 more
core +3 more sources
Chiral Phases on the Lattice [PDF]
arXiv, 2022 While chiral quantum field theories (QFTs) describe a wide range of physical systems, from the standard model to topological quantum matter, the realization of chiral QFTs on a lattice has proved to be difficult due to the Nielsen-Ninomiya theorem and the possible presence of quantum anomalies.
arxiv
Exotic symmetries, duality, and fractons in 2+1-dimensional quantum field theory
, 2020 We discuss nonstandard continuum quantum field theories in 2+1 dimensions. They exhibit exotic global symmetries, a subtle spectrum of charged excitations, and dualities similar to dualities of systems in 1+1 dimensions.
N. Seiberg, Shu-Heng Shao
semanticscholar +1 more source
Measurement-based quantum simulation of Abelian lattice gauge theories [PDF]
arXiv, 2023 The digital quantum simulation of lattice gauge theories is expected to become a major application of quantum computers. Measurement-based quantum computation is a widely studied competitor of the standard circuit-based approach. We formulate a measurement-based scheme to perform the quantum simulation of Abelian lattice gauge theories in general ...
arxiv
A PDE Construction of the Euclidean $$\Phi ^4_3$$ Quantum Field Theory [PDF]
Communications in Mathematical Physics, 2018 We present a new construction of the Euclidean $$\Phi ^4$$ Φ 4 quantum field theory on $${\mathbb {R}}^3$$ R 3 based on PDE arguments. More precisely, we consider an approximation of the stochastic quantization equation on $${\mathbb {R}
Massimiliano Gubinelli, M. Hofmanová
semanticscholar +1 more source
Quantum Logic and the Histories Approach to Quantum Theory
, 1993 An extended analysis is made of the Gell-Mann and Hartle axioms for a generalised `histories' approach to quantum theory. Emphasis is placed on finding equivalents of the lattice structure that is employed in standard quantum logic.
Belavkin V. P. +2 more
core +1 more source
Renormalization group theory of nematic ordering in d-wave superconductors [PDF]
, 2008 We examine the quantum theory of the spontaneous breaking of lattice rotation symmetry in d-wave superconductors on the square lattice. This is described by a field theory of an Ising nematic order parameter coupled to the gapless fermionic ...
E. Brézin, Subir Sachdev, Yejin Huh
core +2 more sources
Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
Advanced Engineering Materials, EarlyView.This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani +4 more
wiley +1 more source
The SU(3) spin model with chemical potential by series expansion techniques
Journal of High Energy Physics, 2020 The SU(3) spin model with chemical potential corresponds to a simplified version of QCD with static quarks in the strong coupling regime. It has been studied previously as a testing ground for new methods aiming to overcome the sign problem of lattice ...
Jangho Kim +3 more
doaj +1 more source