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The Higgs mechanism — Hasse diagrams for symplectic singularities
Published 2020-01-01“…Abstract We explore the geometrical structure of Higgs branches of quantum field theories with 8 supercharges in 3, 4, 5 and 6 dimensions. …”
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62
Vacuum energy density from the form factor bootstrap
Published 2024-12-01“…In the limit g → 0 $$ \mathfrak{g}\to 0 $$ , ρ vac diverges due to well understood UV divergences in free quantum field theories. If we assume the observed Cosmological Constant originates from the vacuum energy density ρ vac computed as proposed here, then this suggests there must exist a particle which does not obtain its mass from spontaneous symmetry breaking in the electro-weak sector, which we designate as the “zeron”. …”
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63
Topology of 3-dimensional manifolds
Published 2024-06-01“…Alternative approaches to the study of 3-manifolds and 4-dimensional cobordisms between them using abelian groups include, in particular, the theories which are formulated as topological quantum field theories (TQFTs). These approaches are also reviewed in the paper. …”
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64
Compactness of quantics tensor train representations of local imaginary-time propagators
Published 2025-01-01“…Space-time dependence of imaginary-time propagators, vital for ab initio and many-body calculations based on quantum field theories, has been revealed to be compressible using Quantum Tensor Trains (QTTs) [Phys. …”
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65
On Lorentz Invariant Complex Scalar Fields
Published 2022-01-01“…We also formulate logically consistent classical and quantum field theories associated with these Lorentz covariant wave equations. …”
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