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Full-Text Articles in Physical Sciences and Mathematics
Logic Is To The Quantum As Geometry Is To Gravity, Rafael D. Sorkin
Logic Is To The Quantum As Geometry Is To Gravity, Rafael D. Sorkin
Physics - All Scholarship
will propose that the reality to which the quantum formalism implicitly refers is a kind of generalized history, the word history having here the same meaning as in the phrase sum-over-histories. This proposal confers a certain independence on the concept of event, and it modifies the rules of inference concerning events in order to resolve a contradiction between the idea of reality as a single history and the principle that events of zero measure cannot happen (the Kochen-Specker paradox being a classic expression of this contradiction). The so-called measurement problem is then solved if macroscopic events satisfy classical rules of …
Is The Spacetime Metric Euclidean Rather Than Lorentzian?, Rafael D. Sorkin
Is The Spacetime Metric Euclidean Rather Than Lorentzian?, Rafael D. Sorkin
Physics - All Scholarship
My answer to the question in the title is "No". In support of this point of view, we analyze some examples of saddle-point methods, especially as applied to quantum "tunneling" in nonrelativistic particle mechanics and in cosmology. Along the way we explore some of the interrelationships among different ways of thinking about path-integrals and saddle-point approximations to them.
Exact Lattice Supersymmetry: The Two-Dimensional N = 2 Wess-Zumino Model, Simon Catterall, Sergey Karamov
Exact Lattice Supersymmetry: The Two-Dimensional N = 2 Wess-Zumino Model, Simon Catterall, Sergey Karamov
Physics - All Scholarship
We study the two-dimensional Wess-Zumino model with extended N = 2 supersymmetry on the lattice. The lattice prescription we choose has the merit of preserving exactly a single supersymmetric invariance at finite lattice spacing a. Furthermore, we construct three other transformations of the lattice fields under which the variation of the lattice action vanishes to O(ga2) where g is a typical interaction coupling. These four transformations correspond to the two Majorana supercharges of the continuum theory. We also derive lattice Ward identities corresponding to these exact and approximate symmetries. We use dynamical fermion simulations to check the equality of the …