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Showing 1 to 20 of 30 for “"Lattice Gauge"”.
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Introduction to lattice gauge theories
… mechanics. Part II is a review of QCD on the lattice at finite temperature and density. Monte Carlo results and analytical methods are discussed. An attempt has been made to include most relevant data up to the end of 1987, and to update some earlier reviews existing on the subject. To …
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Lattice gauge theories on Lefschetz thimbles
In this work we take a look at lattice gauge theories with and without dynamical fermions in dimensions 0+1d and 1+1d, gauge groups U(1) and SU(3), complex coupling β and finite chemical potential. These suffer from a sign problem, which prohibits their simulation with traditional MCMC techniques. …
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Phase transitions in lattice gauge theories
"Topological excitations in lattice gauge theories are studied with an aim towards understanding the role of such excitations in the Abelian Higgs model. First, the topological excitations of the compact U(l) lattice Higgs model are reviewed. The phases of the system are discussed in terms of these …
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Computing methods in Hamiltonian lattice gauge theory
… calculations in the Hamiltonian form of lattice quantum chromodynamics. In particular, a simple site-by-site formula is given for the reduction of the direct product of a string configuration with a string-creating operator, and a description is given of a package of FORTRAN subprograms …
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Monopoles and U(1) lattice gauge theory
… thesis, I describe calculations done in $U(1)$ lattice gauge theory. After reviewing general concepts for doing calculations using quantum field theory on a space-time lattice, I discuss the presence of topological objects, which correspond to local minima of the action. These topological …
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Beyond Color: Lattice Gauge Theory for Strongly-Coupled Physics
… picture of QCD is known exactly: it is an 𝑆𝑈(3) gauge theory coupled to six flavors of fermions (the quarks). Despite this, it remains difficult to compute QCD observables because QCD is strongly-coupled, and typical perturbative methods used in QFT only work in specific regimes of validity for …
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Dihedral non-Abelian Lattice Gauge Theories: Physics and Quantum Simulation
Lattice gauge theories provide a first-principles, non-perturbative formulation of the fundamental interactions of the Standard Model, and their Hamiltonian reformulation on a quantum simulator offers a promising route to regimes---real-time dynamics, finite baryon density---that lie beyond the …
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Towards Error-Resilience in Quantum Simulation of Lattice Gauge Theories
… A particularly rewarding target is given by lattice gauge theories. The fundamental principle of gauge-invariance imposes local gauge constraints upon their constituents, e.g. charged matter and the electric gauge field, which are highly challenging to engineer and which lead to intriguing …
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Topological Objects and Confinement in Non-Abelian Lattice Gauge Theory
We use lattice methods to study the connection between topological objects and the confining potential in SU(2) and SU(3) Yang-Mills theories. We use Monte Carlo techniques, generating and performing measurements on sample configurations of SU(2) and SU(3) gauge fields. We isolate topological …
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Numerical tests of dual superconductivity in non-abelian lattice gauge theories
… hypothesis. After outlining the lattice gauge theory framework used in these calculations, I review the history of magnetic monopoles and dual superconductivity. The calculational procedure for determining the part of the quark-antiquark potential produced by magnetic currents is …
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Time-evolution of SU(2) lattice gauge theory on a quantum computer
Lattice Gauge Theory is a mathematical tool used to study the forces of nature, like Quantum Electrodynamics and Quantum Chromodynamics. Quantum computers offer an alternative to classical computers in studying these forces. In my thesis, a gate-based quantum computer was used to perform …
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Beyond qubits: Quantum optimization and lattice gauge theories in a qudit framework
… optimization and the quantum simulation of lattice gauge theories (LGTs). On the optimization side, we show how a single ancilla qudit can enforce inequality constraints in the Quantum Approximate Optimization Algorithm (QAOA) without inflating the solution space, and how counterdiabatic …
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Gauge -Balls, Glueballs and Monopoles in Pure U(1), SU(2) Lattice Gauge Theories
Gauge-balls and glueballs are studied in pure U(1) and SU(2) Lattice Gauge Theories. In the U(1) theory, numerical measurements of gauge-ball masses are carried out on link and monopole configurations at beta = 1.01 on the 164 lattice to determine if magnetic monopoles can account for the lightest …
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Gauge-balls, glueballs and monopoles in pure U(1), SU(2) lattice gauge theories
Gauge-balls and glueballs are studied in pure U(1) and SU(2) Lattice Gauge Theories. In the U(1) theory, numerical measurements of gauge-ball masses are carried out on link and monopole configurations at β = 1.01 on the 16^4 lattice to determine if magnetic monopoles can account for the lightest …
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Quantum computing for biophysical and optimization problems
… — we establish a deep connection with an Abelian lattice gauge theory populated with fermions. Building on this theoretical framework, we develop a quantum-inspired Monte Carlo protocol that not only eliminates the sign problem but also features a decorrelation time that scales linearly with the …
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Disorder-Free Localization
… This mechanism is due to a local Z$_{2}$ gauge symmetry and we uncover the connection to lattice gauge theories. We diagnose the localization through long-time memory of initial conditions after a global quantum quench. One of the defining features of the models that we study is the binary …
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Machine Learning and Variational Algorithms for Lattice Field Theory
Discretizing fields on a spacetime lattice is the only known general and non-perturbative regulator for quantum field theory. The lattice formulation has, for example, played an important role in predicting properties of QCD in the strongly coupled regime, where perturbative methods break down. To …
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The structure of hadrons and other potential phases of QCD
… tools in quantum field theory (analytics), lattice gauge theory (numerics), and phenomenology (comparing theory to experiment). Specifically, we use new and existing techniques to access precision information about the inner structure of the proton, via the study of transverse momentum …
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Confinement and Chiral Phase Transitions in SU(2) Gauge Theory via Topological Objects
… data from state of the art simulations of lattice gauge theory and are found to be in substantial agreement. Furthermore, with the inclusion of dynamical quarks in the system, I explore the non-trivial interplay between the confinement/deconfinement and chiral symmetry breaking/restoration …
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Looking Beyond the Standard Model from the Lattice
… for the Higgs mechanism. In particular we use lattice gauge theory techniques, to understand the inherent symmetry breaking patterns of three specific BSM (beyond the standard model) theories. The first model (in chapter 3) describes the spontaneous symmetry breaking pattern in a two …
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