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Showing 1 to 19 of 19 for “"Lattice Gauge Theory"”.
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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
… prototypical strongly interacting Quantum Field Theory (QFT). It is the interaction that yields the strong nuclear force that binds protons and neutrons together. The underlying mathematical picture of QCD is known exactly: it is an 𝑆𝑈(3) gauge theory coupled to six flavors of fermions (the …
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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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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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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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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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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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The structure of hadrons and other potential phases of QCD
Quantum chromodynamics (QCD) is a mathematical theory describing subatomic particles called quarks and gluons, and the strong force that binds them together into protons and neutrons. This thesis centers on two major thrusts of modern QCD research: (1) uncovering the inner quark and gluon structure …
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Confinement and Chiral Phase Transitions in SU(2) Gauge Theory via Topological Objects
… Quantum Chromodynamics, that is, the underlying theory of the strong interaction between subatomic particles. A theoretical understanding of these transitions and their interrelations is of fundamental importance. While it is widely perceived that their dynamics arises from nontrivial topological …
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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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Entanglement and Chaos in Quantum Field Theory and Gravity
… at the intersection of quantum information theory and quantum many-body physics. We study properties like entanglement and chaos, and we use intuition from discrete, few-body systems to learn about continuum systems. First we study quantum scars, a phenomenon previously studied in chaotic, …
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Functional Renormalization Group Methods in Quantum Chromodynamics
… the importance of quark effects. As in lattice gauge theory, we find that the choice of quark boundary conditions has a noticeable effect on the pion mass shift in small volumes. A comparison of our results to chiral perturbation theory and lattice QCD suggests that lattice QCD has not …
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Explorations of the quark substructure of the nucleon in lattice QCD
Lattice gauge theory is a valuable tool for understanding how properties of the nucleon arise from the fundamental interactions of QCD. Numerical computations on the lattice can be used not only for first principles calculations of experimentally accessible quantities, but also for calculations of …
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Eliminating critical slowing down in Monte Carlo calculations
… to improve the major numerical difficulties in lattice field theory. Traditional Metropolis and heat bath Monte Carlo methods in lattice calculations break down whenever one tries to calculate thermodynamic quantities near critical points; this phenomenon is called Critical Slowing Down, (CSD). …
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Delta I Equals Three Halfs Kaon To Two Pion Decays Using Lattice Quantum Chromodynamics with Domain Wall Fermions
… to two pion decays in the 𝛥𝛪 = 3/2 channel using lattice gauge theory simulations. From these we can extract the decay amplitude 𝐴₂, for which the real part is related to the decay rate and can be compared to the experimental result Re(𝐴₂) = 1.484 x 10⁻⁸ GeV, and for which the imaginary part is …
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Effective Field Theory for Doubly Heavy Baryons and Lattice QCD
… field theories for doubly heavy baryons and lattice QCD. We construct a chiral Lagrangian for doubly heavy baryons and heavy mesons that is invariant under heavy quark-diquark symmetry at leading order and includes the leading O(1/m_Q ) symmetry violating operators. The theory is used to …
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Exotic charm resonances and coupled-channel scattering from lattice QCD
… its extraordinary success, large parts of the theory remain theoretically poorly understood. In particular, the strong force -- governed by a subset of the standard model called quantum chromodynamics (QCD) -- becomes a strongly-coupled quantum field theory at low energies. The strong coupling …
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Weak decays of beautiful pseudoscalar mesons with Lattice Quantum Chromodynamics
… study a selection of decays of $B$ mesons with Lattice Quantum Chromodynamics. After introducing these modern methods, I report on my progress on calculating the vector current form factors for $B_c \to D_s$. This decay is allowed at the one-loop level and so my vector current form factors will …