A Rigorous Path Integral Construction in Any Dimension
نویسنده
چکیده
A rigorous Path Integral construction for a wide class of Weyl evolution operators is based on a pseudo-differential Ω-calculus on flat phase spaces of finite and infinite dimensions.
منابع مشابه
A Path Integral Approach for Disordered Quantum Walks in One Dimension
The present letter gives a rigorous way from quantum to classical random walks by introducing an independent random fluctuation and then taking expectations based on a path integral approach.
متن کاملDiffeomorphism-invariant Generalized Measures On the Space of Connections Modulo Gauge Transformations
The notion of a measure on the space of connections modulo gauge transformations that is invariant under diffeomorphisms of the base manifold is important in a variety of contexts in mathematical physics and topology. At the formal level, an example of such a measure is given by the Chern-Simons path integral. Certain measures of this sort also play the role of states in quantum gravity in Asht...
متن کاملMaking the gravitational path integral more Lorentzian or Life beyond Liouville gravity
In two space-time dimensions, there is a theory of Lorentzian quantum gravity which can be defined by a rigorous, non-perturbative path integral and is inequivalent to the well-known theory of (Euclidean) quantum Liouville gravity. It has a number of appealing features: i) its quantum geometry is non-fractal, ii) it remains consistent when coupled to matter, even beyond the c=1 barrier, iii) it...
متن کاملA Rigorous Real Time Feynman Path Integral and Propagator
Abstract. We will derive a rigorous real time propagator for the Non-relativistic Quantum Mechanic L transition probability amplitude and for the Non-relativistic wave function. The propagator will be explicitly given in terms of the time evolution operator. The derivation will be for all self-adjoint nonvector potential Hamiltonians. For systems with potential that carries at most a finite num...
متن کاملNon–perturbative Anomalies in d=2 QFT
We present the first rigorous construction of the QFT Thirring model, for any value of the mass, in a functional integral approach, by proving that a set of Grassmann integrals converges, as the cutoffs are removed, to a set of Schwinger functions verifying the Osterwalder-Schrader axioms. The massless limit is investigated and it is shown that the Schwinger functions have different properties ...
متن کامل