Mathematical Physics
Lévy Fields Enable Direct Construction of Exact Scalar Wightman Fields in d≥4 Dimensions
The paper constructs Hermitian scalar quantum fields in d-dimensional spacetime (including d≥4) using stochastic calculus on stationary Lévy random fields, initially within a relaxed Gårding-Wightman framework where field operators are symmetric rather than self-adjoint. By selecting adequate subspa…
KMS Decay Rate Bounds GNS Rate in Quantum Markov Semigroups on Von Neumann Algebras
The paper proves a conjectured inequality: for quantum Markov semigroups with a faithful normal invariant state, the exponential decay rate w.r.t. the KMS inner product lower bounds that of the GNS inner product. This holds beyond Gaussian cases, extending to arbitrary von Neumann algebras. The resu…
New Positive Mass Theorem for Manifolds with Toroidal Ends Without Boundary
This paper introduces new positive mass theorem (PMT) results for asymptotically locally hyperbolic (ALH) manifolds lacking boundaries but possessing general toroidal ends. The methodology extends prior work by incorporating techniques related to μ-bubbles, originally developed for asymptotically fl…